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scikit-complexity
georgedouzas/scikit-complexity
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Delays, events, drivers, and noise
Stochastic maps
Anomalous processes
Geometry of chains
Groups of many elements
Lattice systems
Networks
Fields
Phase-space fields
Kinetic systems of active particles
Agent-based systems
Cell complexes and link fields
Rewriting systems
Quantum systems
Stocks and flows
Linear programs
Static systems
Constraints and search
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Systems
Systems
Catalog
Physics
Physics
Active matter
Active matter
Active Brownian particles
Active Brownian particles with local alignment
Active Ornstein-Uhlenbeck particles
Active System B+ of motility-induced phase separation
Active nematic and polar gels
Active polymers
Bertin-Droz-Grégoire kinetic flocking
Chiral active particles
Cucker-Smale flocking
Deformable active particles of Ohta and Ohkuma
Depot-pumped Brownian particles
Dry active nematics
Flocking with active and passive agents
Ginelli nematic particles
Grégoire-Chaté cohesive flocks
Inertial active Brownian particles
Keller-Segel chemotaxis
Living crystals
Microscopic flocking with aligning binary collisions
Motility-induced phase separation
Nonreciprocal Vicsek system
One-dimensional active viscoelastic and poroelastic gel with contractile cells
Run-and-tumble
Squirmers
Szabó cell system
Toner-Tu hydrodynamics
Vicsek system with metric, topological, vision-cone, and delayed alignment
Celestial mechanics
Celestial mechanics
Bending of light by a mass
Frame dragging around a spinning mass
Keplerian dumbbell and spin-orbit coupling
N-body and solar system
Perihelion precession in the Schwarzschild spacetime
Relativistic orbit equation
Restricted three-body problem
Sitnikov problem
Störmer charge in a dipole field
Two-body orbit
Climate
Climate
Budyko-Sellers latitude system
Coupled soil and deep temperature maps
Daisyworld
Declining energy return on investment
ENSO delay oscillator
Forest dieback
Forest dieback with replicator dynamics of mitigators
Gissinger geodynamo
Hasselmann stochastic climate
Leading-following tipping cascade
Lorenz-84
Lorenz-96
Network of interacting tipping elements
Population and pollution
Rothman excitable carbon cycle
Saltzman-Maasch glaciation
Stochastic energy balance with bifurcation-, noise-, and rate-induced tipping
Stochastic fold with a ramped control parameter
Van der Pol ice ages
Zero-dimensional energy balance with ice albedo
Cosmology
Cosmology
FLRW cosmology from the Einstein equations
Friedmann expansion
Oppenheimer-Snyder collapse of a dust ball
Criticality
Criticality
Bak-Tang-Wiesenfeld sandpile
Drossel-Schwabl forest fire
Evolutionary Sherrington-Kirkpatrick game
Fixed-energy sandpile
Forest fire on hexagonal lattices and graphs
Langevin field theory of absorbing-state transitions with a conserved energy field
Manna sandpile
SK game of reinforcement learners
Self-organized branching process
Zhang sandpile
Fluids
Fluids
BGK
Boltzmann
Burgers
Bénard-Marangoni convection with a free, thermocapillary surface
Decaying turbulence
Discrete-velocity Boltzmann gas of Carleman
Enskog equations
FHP lattice gas
HPP lattice gas
Kuramoto-Sivashinsky
Rayleigh-Bénard
Shallow-water dam break
Vlasov
Wave-number conservation and wave breaking
Heat
Heat
Cooling coffee
Heat diffusion
Heat on an L-shaped domain
Mechanics
Mechanics
Ballistic pendulum
Beam-beam map
Bouncing ball
Circular billiard
Coupled pendulums
Double pendulum
Driven damped oscillator
Gyroscope in a gimbal
Harmonic oscillator
Huygens clocks and pendulums on coupled supports
Magnetic pendulum
Mass-spring oscillator with static and Coulomb friction
Newton's cradle
Particle in the well k x^2 e^-x
Pendulum
Pendulum on a sliding cart
Pendulum with a vertically or horizontally oscillating pivot
Projectile
Rotating balls on rods
Rotating swing
Two-mass spring-damper between walls
Nonlinear oscillators
Nonlinear oscillators
Adler equation
Duffing
Dynamical billiards of Sinai, mushroom, and open three-disk shapes
Forced Toda oscillator
Forced Van der Pol
Hénon-Heiles
Nuclear quadrupole vibrations
Strongly nonlinear oscillator under periodic impulses
Stuart-Landau
Van der Pol
Oceanography
Oceanography
Quasi-geostrophic double gyre
Stommel thermohaline boxes
Pattern formation
Pattern formation
Allen-Cahn non-conserved relaxation (System A)
Cahn-Hilliard phase separation (System B)
Complex Ginzburg-Landau
Nonreciprocal Cahn-Hilliard
Swift-Hohenberg
Seismology
Seismology
Burridge-Knopoff spring-block fault
Olami-Feder-Christensen
Soft matter
Soft matter
Annealed transient time motion
Brownian motion of Janus, ellipsoidal, and chiral particles in three dimensions
Brownian particle near a wall
Continuous-time random walk
Diffusion in a speckle field
Fractional Brownian motion
Fully biased walk among quenched broad traps
Hydrodynamically coupled particles in blinking traps
Inertial and overdamped Brownian motion
Kramers escape
Langevin equation with colored noise
Lévy walk
Multiplicative noise conventions
On-off flashing ratchet
Optical trap including oscillating and blinking traps
Overdamped particle in a tilted periodic potential
Rigid Brownian and active dimers
Scaled Brownian motion
Shaken frictional spring-block chain
Stochastic resonance
Superdiffusive Levy flight
Statistical mechanics
Statistical mechanics
Asymmetric exclusion process with open boundaries
Bouchaud trap system
Contact process
Continuum percolation
Diffusion-limited aggregation
Discrete master equation
Dissipative zero-range process on a tree
Edwards-Anderson spin glass
Ehrenfest urn system of two boxes
Fully connected Ising system with Glauber dynamics
Fully connected branching and annihilation
Ideal gas
Ising
Ising on a graph
Landau mean-field relaxation
Lennard-Jones fluid
Mattis spin glass
Potts
Q2R reversible Ising automaton
Quantum Heisenberg system
Random energy system
Sherrington-Kirkpatrick spin glass
Site percolation
TASEP
Two-phase zone exchange
XY
Zero-range process
Synchronization
Synchronization
Adaptive Kuramoto-Sakaguchi oscillators with frequency clusters
Aggregate-averaging synchronization of logistic and delay-coupled Bernoulli maps
Coupled Rössler and the master stability function
Coupled map lattices on networks
Delayed Kuramoto
Explosive topological Kuramoto of node and link phases on a simplicial complex, with the Nodes-Links-Triangles variant
Globally coupled Stuart-Landau oscillators with frequency spread
Globally coupled systems with heterogeneous time scales
Kuramoto
Kuramoto on networks
Kuramoto oscillators with three-body coupling
Kuramoto-Sakaguchi chimera
Mirollo-Strogatz pulse-coupled oscillators
Nonlocal ring chimera
Ott-Antonsen reduction
Rössler-driven Lorenz and generalized synchronization
Swarmalators
Winfree system
Waves
Waves
Lattice Maxwell and gauge link fields
Lattice Yang-Mills and pure lattice QCD
Schrödinger equation as real and imaginary fields
Schrödinger equation minimally coupled to an electromagnetic potential
Spring chains and guitar string
Standing waves on a string
Chemistry
Chemistry
Kinetics
Kinetics
Bistability on a catalyst pellet
Brusselator ODE
Chemical Langevin equation of the Schlögl reaction
Chemical Langevin equation of the enzyme network
Cubic autocatalysis
Cyclic cellular automaton
Hodgepodge machine
Michaelis-Menten as ODEs and as a jump process
Oregonator
Protein corona binding on a nanoparticle
Pulsed electrochemical reactor
Pattern formation
Pattern formation
Brusselator fields
Gray-Scott
Schnakenberg
Biology
Biology
Collective behaviour
Collective behaviour
Active walkers and trail formation
Ant colony optimization on a road network
Binary ant decision
Bird swarm with pair potentials
Boids in three dimensions
Boids in two dimensions
Calm and nervous rats
Couzin shoal with repulsion, alignment, and informed leaders
Pheromone foraging
Strömbom shepherding of a flock
Ecology
Ecology
Agent-based Lotka-Volterra
COMETS: dynamic flux balance on a lattice with diffusion
Carrying capacity of a meadow
Competition
Consumer-resource models of substitutable and essential resources
Droop cell-quota growth
Dynamic multi-species metabolic system
Exponential growth
Fibonacci rabbits
Fisher-KPP
Food webs
Generalized Lotka-Volterra microbial community
Generalized stochastic predator-prey
Hutchinson
Intrinsic-instability populations
Joint, community, and SteadyCom flux balance
Logistic growth
Logistic growth with a varying capacity
Lotka-Volterra
Lotka-Volterra with harvesting
Mangrove succession
Mutualism
Neutral Moran system with speciation
Neutral birth-death with hopping between boxes
Neutral macroecology
Nicholson-Bailey
Penaeid shrimp growth
Random Lotka-Volterra with higher-order interactions
Ricker map of overcompensating generations
Rosenzweig-MacArthur and rate tipping
Sequentially linear ecosystem
Size-structured forest with shading and seed dispersal
Stigmergic predator-prey automaton
Wolf and sheep
Epidemiology
Epidemiology
Activity-driven temporal networks
Adaptive SIS with rewiring
Agent-based SIR with mortality, waning immunity, incubation, and lockdown
Degree-class SIR on uncorrelated networks
Discrete-time SIRS with a recovery delay
EpiSims city of people and locations
Heterogeneous mean-field SIS
Metapopulation reaction-diffusion
Quenched mean-field SIS
Random-walker epidemics on a grid and on a small world
Record-dynamics epidemic of resistant residents
SIR
SIR on a network as an agent system
SIR with optimal vaccination
SIRS
SIS
SIS on partnerships that dissolve and re-form
Watts-May SEIR with lasting partnerships
Zombie outbreak of susceptible, zombie, and removed compartments
Evolution
Evolution
Adaptive climbing in finite populations
Assembly growth along the assembly index
Bak-Sneppen
Competitive Jain-Krishna model with signed couplings
Eigen quasispecies
Genotype spaces and neutral networks of RNA folds
Hypercycles
Jain-Krishna autocatalytic networks
Kimura diffusion of allele frequencies
Moran process
NK fitness landscapes
NKCS coevolution on coupled NK landscapes
Replicator dynamics and hawks and doves
Rock-paper-scissors
Solé-Manrubia extinctions
Strong-selection weak-mutation walk on fitness landscapes
Tangled Nature
Undirected and directed polymer assembly pool
Neuroscience
Neuroscience
Adaptrode synapse
Amari neural field
Dense homogeneous associative network of transient attractors
FitzHugh-Nagumo ODE
Fukai-Tanaka winner-take-all network
Hodgkin-Huxley
Integrate-and-fire
Izhikevich
Kinouchi-Copelli excitable network
LEGION oscillators
Networks of leaky integrate-and-fire neurons with delays
Next-generation neural mass with theta forcing
Phase units with activity-dependent conduction delays
Polyhomeostatic neuron
Theta neurons and QIF networks
Theta neurons with spike-timing-dependent plasticity
Wilson-Cowan
Oncology
Oncology
Acquired and induced resistance with phenotype switching
Bone-marrow and blood cells with blasts and cancer stem cells
Cell-cycle compartments with killing, blocking, and recruiting agents
Core and periphery vasculature under anti-angiogenic therapy
Effector cells, tumour, and IL-2 under adoptive therapy
Exponential-linear tumour growth
Generalized logistic (Richards) growth
Glioma, glia, and neurons under temozolomide and virus
Gompertz growth
Gompertz growth with a vascular carrying capacity
Gompertzian cell-cycle phases under tamoxifen
Hahnfeldt system with effector cells, pharmacokinetics, resistance, and toxicity
Immune competition
Intermittent androgen suppression switched by PSA thresholds
Kirschner-Panetta system with TGF-beta and siRNA
Linear-quadratic cell survival and biologically effective dose
Linear-quadratic impulsive irradiation with a radiosensitizer
Multiscale tumour angiogenesis
Normal and leukaemic stem cells with feedback regulation
Normal and malignant stem-cell compartments with feedback and therapy
Normal and tumour competition under radiation
Normal, tumour, and immune cells under chemotherapy
Norton-Simon Gompertzian cell kill
Oncolytic adenovirus with T cells and dendritic-cell injection
Optimal adoptive therapy and IL-2 dosing
Optimal chemotherapy dosing
Paclitaxel and trastuzumab with antibody binding
Piecewise-linear intermittent androgen suppression
Power-law tumour growth
Predator-prey tumour-immune system of TCR gene therapy
Primary and secondary sites with a migration delay under chemotherapy
Prostate cancer driven by activated androgen receptors
Prostate cancer under continuous androgen suppression
Prostate cancer with an androgen cell quota and PSA
Red-cell production under 6-mercaptopurine
Resistance subpopulations under three drugs
Resting and hunting immune cells with a conversion delay under chemotherapy
Skipper-Schabel-Wilcox log-kill
T cells, tumour, and anti-PD-1 checkpoint inhibitor
T cells, tumour, dendritic cells, and IL-2 under dendritic-cell vaccination
Tumour and vascular volume under an angiogenesis inhibitor
Tumour, NK cells, CD8 T cells, and lymphocytes under chemoimmunotherapy
Tumour-immune populations with division delays under dendritic-cell vaccination
Tumour-immune system with dendritic licensing, IL-2, IL-10, and TGF-beta
Two tumour clones under chemotherapy and dendritic-cell vaccine
Uninfected and infected cells, virus, and chemotherapy
Uninfected and infected tumour cells under an oncolytic virus
Von Bertalanffy growth
Physiology
Physiology
Aliev-Panfilov cardiac tissue
Barkley excitable medium with spirals and breakup
Blood glucose stabilised by antagonistic insulin and glucagon loops
Cellular Potts model of cell sorting on square, triangular, and disordered lattices
Coagulation cascade amplified by positive feedback and bounded by fibrinolysis
Cumulative drug toxicity
FitzHugh-Nagumo spirals
Hyperbolic chemotaxis of cells and a chemical
Intercellular exchange through gap junctions and tunnelling nanotubes on a cell network
Lumped cardiovascular system
Mackey-Glass
Steerable receptor-effector negative feedback loop
Stimulus-response, adaptive response, and anticipation with response, restore, repair, and preparedness costs
Substance exchange between logistic cells in a closed contour
Two-compartment pharmacokinetics
Two-layer adaptive oscillator model of sepsis
Vessel conductances adapting to Kirchhoff flows
West-Brown-Enquist distribution network and Kleiber scaling
Systems biology
Systems biology
Adenylate cyclase kinase cascade amplifier with G-protein timer inactivation
Boolean repressilator
Boolean system of the mammalian cell cycle
Bristle patterning by lateral inhibition on a ring
Carbon-13 metabolic flux analysis
Drosophila circadian clock
Dynamic flux balance analysis of a batch culture
Early-stage protein folding intermediate
Elementary flux modes and extreme pathways
Flux balance, flux variability, and parsimonious FBA
Fuzzy oil drop system of protein structure
Generalised multi-valued logical networks
Generalized mass action and S-system power-law systems
Genetic toggle switch
Goodwin oscillator
Huepe-Aldana noisy majority Boolean network
Kauffman random Boolean networks
Knock-outs, MoMA, ROOM, OptKnock, and synthetic lethals
Min-protein skeleton system as mass-conserving reaction-diffusion
Negative autoregulation and bursty gene expression
Probabilistic Boolean network
Regulatory flux balance analysis
Repressilator
Stochastic and continuous Petri nets
Three-enzyme adaptation circuits of Ma et al.
Three-gene Boolean network
Three-node phosphorylation oscillator
Three-way fate decision on the compactified elliptic umbilic
Yeast cell-cycle network
Yeast glycolysis oscillations in a flow reactor
Economics
Economics
Econophysics
Econophysics
Boltzmann wealth exchange
El Farol
El Farol with strategic group formation
Exchange with debt limit and with saving propensity
Kinetic wealth and welfare dynamics
Kolkata Paise Restaurant
Minority game and its evolutionary version
Finance
Finance
Bouchaud-Mézard wealth
Correlated geometric Brownian motions
DebtRank cascades
Default cascades with thresholds and recovery
Eisenberg-Noe clearing of interbank payments
Fire sales of overlapping portfolios
Fundamentalists and chartists in an order book
Geometric Brownian motion
Gibrat
Kesten processes
Kirman exchange rate with switching traders
Multiplicative
Order book with a guru communication network
Random-walk traders with arbitrage
Traders and exchange rates coupled through arbitrage as lattice electrodynamics
Innovation
Innovation
Arthur-Polak technology evolution
Bass diffusion
Co-evolving combinatorial critical model
Combinatorial creative phase transition
Fixed-line phone adoption
Interacting urns with triggering on a network
NK technology system
TAP growth with random catalysis and autocatalytic sets
Macroeconomics
Macroeconomics
Brock-Mirman stochastic growth
Capital stock
Exchange rates in international trade
Firm and bank credit networks
Fractional-reserve banking
Linear network herding
Mark-0 economy with a Covid shock and policies
Metaphoria mortal hunter-gatherer and monetary economies
Multiplier-accelerator
Pontryagin capital and consumption
Solow
Stock-flow consistent monetary economy
Three-sector purchasing power decoupled by feedback
Toy firm investment
Markets
Markets
Beer distribution game
Bilateral barter of two or three goods
Bilateral two-good trade on complete, isolated, and small-world networks
Brock-Hommes heuristic switching
Car wash queue
Car-dealer inventory with delays
Cobweb
Commodity cycle with capacity delay
Cournot duopoly with beliefs
Customers choosing between two shops of perishable goods
Edgeworth and Red Cross barter
Fair Food Program
Fair-trade food choice with peer influence
Gooding double auction with adaptive quotes
Heterogeneous household demand by utility and by elasticities
Labour market
Produce market
Riccati price adjustment
Shops and digital markets
Static oligopoly equilibria
Sugarscape
Toy Trader and Three-Goods Trader with money
Zero-intelligence double auction
Resources
Resources
Cocoa
Crop livestock household
Fishery with measurement errors
Food security systems
Harvesting farmers
Hilsa fishery
Oil economy
Optimal harvesting
Renewable fishery with capital
Rice land, population, and food security
Tragedy of the meadow commons
Von Thünen land use
Social
Social
Cooperation
Cooperation
Evolutionary dynamics with game transitions
Finite two-level birth-death process of defectors and punishers
Iterated prisoner's dilemma on a lattice with strategies of cooperation rounds
Iterated prisoner's dilemma tournament
Multilevel selection of cooperators, defectors, and punishers on the simplex
Multilevel selection with non-additive pairwise group conflict
Public goods game
Public goods game on hypergraphs
Spatial prisoner's dilemma with best-neighbour and Fermi imitation
Two-level replicator equation of additive pairwise group conflict
Two-player games on links and three-body games on 2-simplices
Crowds
Crowds
Bellomo's kinetic crowd in a street with walls and panic
Criminality and security
Kinetic evacuation of a network of rooms
Social force pedestrians
Language
Language
Mandelbrot least-effort word frequencies
Miller's random typewriting
Opinion dynamics
Opinion dynamics
Axelrod culture dissemination
Belief diffusion with influentials
Coevolving voter
Cognitive consistency agents
Complex agents with internal states and standardization
Deffuant bounded confidence
Echo chambers and radicalization on an activity-driven network
Galam majority
Gauge theory of agents on a network
Hegselmann-Krause
Join-a-club spins
Kinetic opinion formation
Majority rule automaton
Majority rule with willingness and zealots
Mean-field flows of undecided agents
Naming game
Nonlinear three-body consensus on temporal hypergraphs
Social impact theory
Sznajd
Three-state opinion with undecided agents
Threshold adoption
Voter system
Voter variants
Organizations
Organizations
Ajani's Choice
Barabási priority queues
Bonabeau hierarchies
Brothel movement system
Container model of human mobility
Drift to low performance
Employment takeover
Escalation
Exploration and preferential return
Gravity interaction system of urban scaling
Hora and Tempus watchmakers
Insider sabotage
Namrata's Family, diffusion of working conditions in supply chains
Obesity system
Policy resistance
Shifting the burden
Success to the successful
The Kauai population system on region layers
Urban scaling of interactions
Segregation
Segregation
Schelling
Stochastic Schelling
Spreading
Spreading
Maki-Thompson rumours
SIS on hypergraphs with heterogeneous exposure and a nonlinear infection kernel
Simon-Yule growth
Simplicial contagion
Watts threshold cascades
Engineering
Engineering
Circuits
Circuits
Chua double and multiple scrolls
Circuits under periodic impulses
Coupled Colpitts oscillators
Memristive mixed-mode oscillator
Memristor oscillator
Modified Chua with mixed-mode oscillations
RLC circuit
Tunnel-diode oscillator
Vibration energy harvester
Control
Control
Heated room with a thermostat
Linear-quadratic regulated oscillator
Minimum-time control of a free particle, a harmonic oscillator, and a saddle
Model predictive control of Duffing, Van der Pol, and a bilinear DC motor through Koopman surrogates
PID governance loop
PID-stabilised inverted pendulum
Pendulum swing-up
Satellite transfer
Thermostat
Mechatronics
Mechatronics
DC motor with an inertia
Electromagnetic vibrating table
Magnetic levitation under alternating impulses
Quarter-car suspension
Power systems
Power systems
Faraday-disk charger
Regenerative braking
Swing-equation power grid with Braess paradox
Wheel and rail contact
Processes
Processes
Bathtub
Cascade classifier
Food relief system
Grain storage system
Irrigation system
Rice milling system
Solid waste system
Robotics
Robotics
Light-emitting robots with sensory delay
Light-sensitive robots with sensory delay
Swarmtaxis
Traffic
Traffic
Car following with delay
Charbonneau traffic
GKT non-local traffic
Intelligent driver system
Kerner-Konhäuser system
Langevin car-following toward a density-dependent speed
Lighthill-Whitham-Richards
Moment equations of Langevin traffic with a jam instability
Nagel-Schreckenberg
Optimal velocity
Payne system
Ridesharing
Ring-road driver agents
Mathematics
Mathematics
Dynamical systems
Dynamical systems
Baker
Bernoulli doubling map
Cascais-Dilão-Noronha Gaussian map
Cat map
Circle
Conservative Hénon map
Cubic chaotic map and its chaotic walk
Cusp normal forms
Fermi-Ulam map
Finite-time blow-up
Generalized tent map
Hopf
Hyperchaotic four-dimensional Rössler flow
Hénon map
Ikeda delay equation
Intermittency maps
Langford attractor
Logistic map
Lorenz
Lozi map
Newton-Raphson map
Nosé-Hoover oscillator
Quadratic system with a slow manifold and a finite Koopman embedding
Rössler
Rössler with an Ornstein-Uhlenbeck control parameter
Saddle-node
Sprott flow with a conservative torus and a chaotic attractor
Sprott jerk
Standard
Subcritical Hopf normal form
Takens-Bogdanov
Tent
Thomas cyclically symmetric attractor
Towel maps
Fractals
Fractals
Cantor
Iterated function systems by the chaos game
Julia sets
Koch
Mandelbrot set
Random complex square-root function system
Sierpiński substitutions
Fractional dynamics
Fractional dynamics
Fractional Lorenz
Fractional Van der Pol
Fractional damped oscillator
Fractional relaxation
Networks
Networks
Barabási-Albert growth, with Bianconi-Barabási fitness
Cascades of failures in interdependent networks
Centralities, assortativity, communities, and motifs
Configuration model with stub matching and rewiring
Davidsen-Ebel-Bornholdt network of triadic closure and node turnover
Diffusion
Erdos-Renyi and Watts-Strogatz graphs
Explosive percolation by the Achlioptas product rule
Graphlet arrival growth
Growing simplicial complex by triangle attachment
Holme-Kim growth
Kronecker graphs
Motter-Lai cascades of betweenness overload
Network superposition model of Erdős-Rényi subgraphs
Node-merging network of Kim et al.
PageRank iterations on networks
Popularity-similarity network
Random failures and targeted attacks on networks
Random walks
Size-biased random walk on hypergraphs
Spatial triadic percolation on a torus
Steady-state duplication-deletion network
Triadic percolation
Vertex-copying network growth
Stochastic processes
Stochastic processes
Ageing random walk
Bernoulli process
Birth-death process and M/M/1 queue
Cascading sample-space-reducing process
Exponential growth observed at exponential random times
Fragmentation
Galton-Watson branching
Hidden Markov source
Markov source
Ornstein-Uhlenbeck with weakening restoring force
Persistent random walk
Poisson process
Pólya urn
Random two-branch interval map
Random walk with autoregressive velocity
Random walks
Sample-space-reducing process
Stochastic on-off intermittency
Computer science
Computer science
Automata
Automata
Adding machine (odometer)
Adleman DNA computation of a Hamiltonian path
Automata on the Grigorchuk group
Automata on the free group
Baumslag-Solitar groups
Context-free subshift
Diffusion automaton
Elementary automata
Even and S-gap subshifts
Fredkin's self-replicating parity automaton
Game of Life
Game of Life on a rewired small-world network
Group-valued difference automaton
Heisenberg
Highlife and the planar automaton zoo
Involutive automaton
Lamplighter
Langton's ant
Lenia and its expanded universe
Life in a tree
Linear automata over rings
Morse subshift
Muller's pre-injective non-surjective automaton on F2
Nilpotent automaton of class n
Noisy automata
Power-series automaton
Real quadratic automaton
Self-indexed shift over a group alphabet
Subshifts
Subtraction automaton over the naturals
Surjective non-pre-injective linear automaton on F2
Turing machine (three-state busy beaver)
Unbounded-alphabet automaton
Evolutionary computation
Evolutionary computation
Bit-string evolution on a fitness landscape
RobbyGA can collector and evolution by circumstance
Simulated annealing, genetic algorithms, and differential evolution
Neural networks
Neural networks
Asymmetric diluted Hopfield network
Binary perceptron and random K-SAT
Echo state network
Elman recurrent network trained by backpropagation
Hopfield network
Next-generation reservoir computer
API
API
Core
Core
Base
Errors
Types
Analysis
Analysis
Types
Components
Components
Base
System
Types
Elements
Interactions
Laws
Laws
Utils
Spaces
Specs
Engine
Engine
Types
Backends
Compile
Compile
Passes
Problems
Runtime
Solvers
Translators
Viz
Experiments
Experiments
Types
Specs
Specs
Systems
Systems
Types
Types
Table of contents
types
Biology
Biology
Collective behaviour
Common
Common
Excitable
Kinetics
Metabolism
Networks
Pharmacokinetics
Populations
Stigmergy
Ecology
Epidemiology
Evolution
Neuroscience
Neuroscience
Types
Oncology
Physiology
Systems biology
Systems biology
Types
Chemistry
Chemistry
Common
Common
Kinetics
Kinetics
Pattern formation
Computer science
Computer science
Automata
Evolutionary computation
Neural networks
Economics
Economics
Common
Common
Forecasting
Resources
Econophysics
Finance
Innovation
Macroeconomics
Markets
Resources
Engineering
Engineering
Circuits
Common
Common
Electrical
Mechanics
Control
Mechatronics
Power systems
Processes
Robotics
Traffic
Mathematics
Mathematics
Common
Common
Flows
Dynamical systems
Fractals
Fractals
Types
Fractional dynamics
Networks
Stochastic processes
Stochastic processes
Types
Physics
Physics
Active matter
Celestial mechanics
Celestial mechanics
Types
Climate
Common
Common
Fields
Mechanics
Oscillators
Particles
Quantum
Spins
Cosmology
Criticality
Fluids
Heat
Mechanics
Nonlinear oscillators
Oceanography
Pattern formation
Seismology
Soft matter
Statistical mechanics
Synchronization
Waves
Social
Social
Cooperation
Crowds
Language
Opinion dynamics
Organizations
Segregation
Spreading
Examples
Examples
Physics
Physics
Heat
Heat
Cooling coffee
Nonlinear oscillators
Nonlinear oscillators
Duffing
Synchronization
Synchronization
Mirollo-Strogatz
Chemistry
Chemistry
Kinetics
Kinetics
Brusselator
Cubic autocatalysis
Cyclic cellular automaton
Biology
Biology
Epidemiology
Epidemiology
Agent-based SIR
Evolution
Evolution
Replicator dynamics
Systems biology
Systems biology
Boolean repressilator
Economics
Economics
Finance
Finance
Correlated geometric Brownian motions
Geometric Brownian motion
Resources
Resources
Fishery capital
Social
Social
Cooperation
Cooperation
Public goods game on a hypergraph
Prisoner's dilemma tournament
Opinion dynamics
Opinion dynamics
Hegselmann-Krause
Engineering
Engineering
Circuits
Circuits
Chua's circuit
Memristor oscillator
Tunnel-diode oscillator
Mathematics
Mathematics
Dynamical systems
Dynamical systems
Finite-time blow-up
Fractals
Fractals
Julia set
Networks
Networks
Random walk on a hypergraph
Computer science
Computer science
Automata
Automata
Game of Life
Majority automaton on the Baumslag-Solitar group
Majority automaton on the free group
Development
Development
Contributing
Code of Conduct
Table of contents
types
Types
Define the types of the systems: the functions that build a system.
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