Examples tagged with nonlinear-dynamicsllms.txt

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adaptiveantifragilityauctionbalancing-loopbottleneckbullwhipcapacitycellular-automatachaoscompeting-contagioncompoundingcomputationcontrolcontrol-systemsdebtdecaydelaydeterrencediscrete-eventecosystemelasticityemergenceenergyexponentialfact-checkfairnessfirst-order-dynamicsgamegame-theorygameplaygoalgridhealthcarehouseholdincentiveinterruptsinventorylearningmaintenancemanagementmatchmakingmonitoringnonlinear-dynamicsoscillationovershootpid-controlpity-timerpopulationpricingprioritizationpriorityprobabilityqueuequota-policyrandomreinforcementreinforcing-loopreliabilityrenegingrenewable-resourceresource-managementrumorself-organizationservicesimpysocial-networkstochasticstocks-flowssustainabilitytemperaturethermostatthroughputtime-delaywaiting-gameworkflow
Beginner - Introductory Models

Logistic Growth

Grow a population too fast and it overshoots its carrying capacity before settling; grow it gently and it glides up to the same limit.

Level: Beginner

populationcapacityovershootnonlinear-dynamicsreinforcing-loop

  • Stocks: population
  • Flows: growth
  • Feedback Loops: reinforcing adoption, saturation constraint
  • Probes: population, growth
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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
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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
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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
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