Duffing Equation: From Hooke's Law to Chaos

Dive into the nonlinear world of the Duffing oscillator. We explore how a simple spring with a nonlinear twist can jump between steady, predictable motion and chaotic behavior as damping, stiffness, and driving force interact. We'll unpack key parameters, jump resonance, history-dependent responses, and the numerical tools (like Runge–Kutta and homotopy methods) used to map order from chaos.

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