Examples tagged with nonlinear-dynamics

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Beginner - Introductory Models

Logistic Growth

A logistic growth simulation of population increase with saturation.

Level:Beginner

populationcapacitynonlinear-dynamicsreinforcing-loop

  • Stocks:population
  • Flows:growth
  • Feedback Loops:reinforcing adoption, saturation constraint
  • Probes:population, growth
Intermediate - Classic Dynamics

Predator-Prey (Lotka–Volterra, SciPy)

A predator-prey simulation using the Lotka-Volterra equations.

Level:Intermediate

populationecosystemnonlinear-dynamics

  • Stocks:prey, predator
  • Flows:prey_births, predations, predator_deaths
  • Feedback Loops:predation cycle
  • Probes:prey, predator

Predator-Prey (Lotka–Volterra, SimPy)

Discrete-time SimPy approximation of the predator–prey model.

Level:Intermediate

populationecosystemnonlinear-dynamics

  • Stocks:prey, predator
  • Flows:prey_births, predations, predator_deaths
  • Feedback Loops:predation cycle
  • Probes:prey, predator
Advanced - Complex Simulations

Logistic Map

A logistic map simulation that iterates x_{n+1}=r*x_n*(1-x_n) to illustrate chaos.

Level:Advanced

populationnonlinear-dynamics

  • Stocks:x
  • Feedback Loops:growth with self-limiting term
  • Probes:x