Coupled_map_lattice - Wikiparency

# Coupled map lattice ## MicroSim spec - **Recommended sim type:** [[Cellular_automaton|cellular automaton]] - **Microsimmability score:** 88/100 - **Layout:** drawing region (canvas) on top; control region (sliders/buttons) below. ### Parameters (tunable controls) - `Coupling strength` - `Local nonlinearity r` - `Lattice size` ### What animates A row of coupled maps paints shifting spatiotemporal patterns as [[Coupling|coupling]] and r change. ### Learning objective Show how coupling local chaotic maps yields spatiotemporal patterns. ## Links (Wikipedia order)  `Aleksandr_Lyapunov` · `Amie_Wilkinson` · `Anosov_diffeomorphism` · `Arnold's_cat_map` · `Arnold_tongue` · [[Attractor]] · `Audrey_Terras` · `Axiom_A` · `Baker's_map` · `Benoit_Mandelbrot` · `Bifurcation_diagram` · [[Bifurcation_theory]] · `Biological_network` · `Bistability` · `Boundary_value_problem` · `Brosl_Hasslacher` · `Bryna_Kra` · `Butterfly_effect` · `Caroline_Series` · `Cascading_failure` · `Celso_Grebogi` · [[Chaos_theory]] · `Chen_Guanrong` · `Chialvo_map` · `Chua's_circuit` · `Complex_quadratic_polynomial` · [[Complexity]] · `Conservative_system` · `Control_of_chaos` · `Convection` · `Correlation_dimension` · `David_Ruelle` · `Degrees_of_freedom_(physics_and_chemistry)` · `Diffeomorphism` · `Double_pendulum` · `Duffing_equation` · `Duffing_map` · `Dyadic_transformation` · `Dynamical_billiards` · [[Dynamical_system]] · `Edge_of_chaos` · [[Edward_Norton_Lorenz]] · `Edward_Ott` · `Elastic_pendulum` · `Ergodic_theory` · `Ergodicity` · `Exponential_map_(discrete_dynamical_systems)` · `Fermi–Pasta–Ulam–Tsingou_problem` · `Florence` · `Floris_Takens` · [[Fractal]] · `Gauss_iterated_map` · `Gene_regulatory_network` · `Gingerbreadman_map` · `Hausdorff_dimension` · `Hee_Oh` · `Henri_Poincaré` · `Horseshoe_map` · `Hénon_map` · `Hénon–Heiles_system` · `Ikeda_map` · `Intermittency` · `Interval_exchange_transformation` · `Invariant_measure` · `Irrational_rotation` · `Italy` · `Itamar_Procaccia` · `James_A._Yorke` · `Kaplan–Yorke_map` · `Kicked_rotator` · `Krylov–Bogolyubov_theorem` · `Kuramoto_model` · `Lai-Sang_Young` · `Langton's_ant` · `Lattice_model_(physics)` · `Leon_O._Chua` · `Limit_set` · `Liouville's_theorem_(Hamiltonian)` · `List_of_chaotic_maps` · `Logistic_map` · `Lorenz_system` · `Lotka–Volterra_equations` · `Lyapunov_exponent` · [[Lyapunov_stability]] · `Lyapunov_vector` · `Mackey–Glass_equations` · `Marcelo_Viana` · `Martin_Gutzwiller` · [[Mary_Cartwright]] · `Mary_Rees` · `Mary_Tsingou` · `Measure-preserving_dynamical_system` · `Michael_Berry_(physicist)` · `Michel_Hénon` · `Mitchell_Feigenbaum` · `Mixing_(mathematics)` · `Multiscroll_attractor` · `Mutual_information` · `Nina_Snaith` · `Orbit_(dynamics)` · `Otto_Rössler` · `Outer_billiards` · `Periodic_point` · `Peter_Grassberger` · [[Phase_space]] · [[Phase_transition]] · `Poincaré_recurrence_theorem` · `Poincaré–Bendixson_theorem` · [[Population_dynamics]] · [[Predictability]] · `Quantum_chaos` · `Rabinovich–Fabrikant_equations` · `Rayleigh–Bénard_convection` · `Recurrence_plot` · [[Recurrence_relation]] · `Renormalization_group` · `Rufus_Bowen` · `Rulkov_map` · `Rössler_attractor` · `Santa_Fe_Institute` · `Soliton` · `Spatial_bifurcation` · `Stability_theory` · `Stable_manifold` · `Stable_manifold_theorem` · `Standard_map` · `State_variable` · `Svetlana_Jitomirskaya` · `Swinging_Atwood's_machine` · `Synchronization_of_chaos` · `Takens's_theorem` · `Tent_map` · `Three-body_problem` · `Tilt-A-Whirl` · `Tinkerbell_map` · `Topological_conjugacy` · `Turbulence` · `Universality_(dynamical_systems)` · `Van_der_Pol_oscillator` · [[Weather_forecasting]] · `Yakov_Sinai` · `Zaslavskii_map` > p5.js MicroSim stub · part of Systems Thinking · [Wikipedia source](https://en.wikipedia.org/wiki/Coupled_map_lattice) > Relation: subfield of systems thinking. ## Concept summary A coupled map lattice (CML) is a [[Dynamical_system|dynamical system]] that models the behavior of nonlinear systems (especially partial differential equations). They are predominantly used to qualitatively study the chaotic dynamics of spatially extended systems. ## Build checklist - [ ] Claim it: set `status: in-progress` + `lease` + `leased_at` - [ ] Write the child page explaining the concept (tie it back to systems thinking) - [ ] Finalize parameter ranges and defaults - [ ] Implement the p5.js sketch (drawing + control regions) - [ ] Add caption + the learning objective on the page - [ ] Set `status: done` ## p5.js sketch ```javascript // MicroSim: Coupled map lattice let controls = {}; function setup() { // createCanvas(...); create sliders for the parameters above. } function draw() { // background(...); read controls; render cellular automaton; respond live. } ``` --- Back to Systems Thinking · Wikipedia: [Coupled map lattice](https://en.wikipedia.org/wiki/Coupled_map_lattice) ---  ## Semiotic profile > *The semiotic universals this article invokes, machine-derived from the crossref — **unverified** (born so). Populated 2026-07-06 for the Systems room.* **Universals (4):** 🟡 system (17) · 🟢 lattice (16) · 🟡 science (5) · 🟢 attractor chaos (3) **Enter by sign:** Systems Semiotic Gateway · Alphabetum · Icon Registry · ← Systems Portal  ## Wikipedia : Wikitube **Strict pair:** [Wikipedia](https://en.wikipedia.org/wiki/Coupled_map_lattice) : [Wikitube](https://en.wikitube.io/wiki/Coupled_map_lattice) ## Previous hub tags Tree parents: [[Cellular_automaton]] · [[Complex_system]] · [[Cybernetics]] · [[Dynamical_system]] · [[Emergence]] · [[Feedback]] · [[Self-organization]] · [[Systems_science]] · [[Systems_theory]]. Legacy hubs: none. --- *Sources: 2 legacy notes. Minted wave 1, 2026-07-30 (v1.6 order).*