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Dynamical systems — maps, flows, bifurcations, synchronisation.
Covers discrete maps (logistic, Hénon, Chirikov), strange attractor analysis, normal forms for bifurcations, Poincaré sections, flow maps and the fundamental solution matrix, and Pecora–Carroll / phase synchronisation.
Structs§
- Attractor
Analysis - Tools for characterising attractors from time-series data.
- Chirikov
Standard Map - The Chirikov–Taylor standard map (area-preserving):
- Dynamical
Normal Form - Normal-form vector field evaluator.
- FlowMap
- Numerical flow integration for autonomous ODEs
ẋ = f(x). - Henon
Map - The Hénon map:
- Logistic
Map - The logistic map
x_{n+1} = r · xₙ (1 − xₙ). - Lorenz
System - Lorenz system parameters.
- Poincare
Section - Poincaré section analysis for flows or maps.
- Synchronization
Analysis - Synchronisation analysis for coupled oscillators / chaotic systems.
Enums§
- Bifurcation
Type - Normal forms for codimension-1 bifurcations.
- Stability
- Stability classification of a fixed point.
Traits§
- Discrete
MapIterate - A discrete map that can be iterated.