[PDF] The Duffing Equation



[PDF] The Duffing Equation

Here we consider an intermediate situation where the dynamics is described by a single ordinary differential equation, called the Duffing equation The force is given by F(x) = -dV/dx = x - x3



8 The Duffing Oscillator

The Duffing oscillator is one of the prototype systems of nonlinear dynamics It first became popular for studying anharmonic oscillations and, later, chaotic



[PDF] Periodic Solutions of Duffings Equations with - CORE

the second order scalar nonlinear Duffing's equation x” + g(x) = p(t, x, x'), where T-periodic solution of equation (D), for any T-periodic forcing term PEL:, 



[PDF] A new complex Duffing oscillator used in complex signal - CORE

Based on the proposed equation, we present a complex chaotic oscillator detection system of the Duffing type Such a dynamic system is sensitive to the initial 



[PDF] Some Dynamical Properties of the Duffing Equation - IJERT

Keywords— Nonlinear Duffing Oscillator, Chaos, Poincare sections, Strange Attractors, Homoclinic, Bifurcation INTRODUCTION In the last decades, research 

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