Material Detail

A collection of sixteen browser-native, fully accessible interactive tools for upper-undergraduate and first-year graduate courses on nonlinear dynamics, chaos, and dynamical systems. Existing dynamical-systems visualization tools typically require Mathematica, MATLAB, or Python installations and rarely meet accessibility standards. This collection runs entirely client-side, conforms to WCAG 2.1 AA, and includes proper handling of stiffness regimes that browser-based tools often mishandle: the Van der Pol oscillator uses an RK4/SDIRK2 hybrid solver for stiff regimes, and the Duffing oscillator uses adaptive RK45 integration. The collection treats pendulum mechanics in unusual depth. A damped nonlinear pendulum with phase-portrait comparison to its small-angle linearization, an elastic (spring) pendulum derived from a Lagrangian and exhibiting autoparametric resonance, two spring-coupled pendula displaying normal modes and beats, double and triple multi-pendulums with chaotic trace visualization, and a tuned pendulum wave machine with 3D perspective view and real-time identification of emergent patterns. Ecological modeling is treated through classical Lotka-Volterra and a logistic-growth-limited variant. The chaos block contains the Lorenz attractor rendered in 3D, the Van der Pol oscillator, and the Duffing oscillator. Discrete dynamics is treated through a bifurcation diagram colored by Lyapunov exponent and exhibiting the Feigenbaum constant emerging from the data, a logistic-map explorer with cobweb iteration and eight parameter presets, and a general cobweb tool for arbitrary maps. A Fourier-series approximator and motion in cubic and double-well potentials round out the collection.

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