Continuous Systems#

Examples illustrating the continuous-time chaotic flows in physicskit.chaos.systems.continuous: the Lorenz and Rossler attractors, the double pendulum, the forced/damped Duffing oscillator, Chua’s circuit (the double-scroll attractor), the restricted three-body problem (with its five Lagrange points marked), the magnetic pendulum (fractal basins of attraction), and the sinusoidally driven, damped pendulum (the period-doubling route to chaos). Each is integrated with the Numba-accelerated RK4 integrator from physicskit.chaos.core.integrators via the system’s .trajectory() method.

Chua’s Circuit: the Double-Scroll Attractor

Chua's Circuit: the Double-Scroll Attractor

Double Pendulum

Double Pendulum

Driven Pendulum: the Period-Doubling Route to Chaos

Driven Pendulum: the Period-Doubling Route to Chaos

Duffing Oscillator

Duffing Oscillator

Lorenz Attractor

Lorenz Attractor

Magnetic Pendulum: Fractal Basins of Attraction

Magnetic Pendulum: Fractal Basins of Attraction

Restricted Three-Body Problem: Poincare’s Original Chaos

Restricted Three-Body Problem: Poincare's Original Chaos

Rossler Attractor

Rossler Attractor