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The Duffing Equation: Nonlinear Oscillators and their Behaviour
(2011-03-03)
The Duffing Equation: Nonlinear Oscillators and their Behaviour brings together the results of a wealth of disseminated research literature on the Duffing equation, a key engineering model with a vast number of applications ...
An integral of motion for the damped cubic-quintic Duffing oscillator with variable coefficientsUna integral de movimiento para el oscilador Duffing cúbico-quíntico amortiguado con coeficientes variables
(Comunicaciones en ciencia no lineal y simulación numérica. Elsevier, 2021)
Stability of two-mode internal resonance in a nonlinear oscillator
(Springer, 2018-05)
We analyze the stability of synchronized periodic motion for two coupled oscillators, representing two interacting oscillation modes in a nonlinear vibrating beam. The main oscillation mode is governed by the forced Duffing ...
Análise de sistemas não lineares modelados por uma equação de Duffing via o primeiro método de Lyapunov
(Universidade Estadual Paulista (Unesp), 2022-09-02)
Este trabalho visa introduzir o estudo de sistemas autônomos bidimensionais: plano
de fase, pontos críticos, construção do plano de fase e estudo de estabilidade
assintótica, mediante o primeiro método de Lyapunov. A ...
Examples of Physical Systems Described by the Duffing Equation
(2011-03-03)
In this chapter several examples of physical systems whose dynamic behaviour can be approximated by several forms of the Duffing equation are given. The physical systems are chosen to illustrate the physical phenomena that ...
Optimal linear and nonlinear control design for chaotic systems
(2005-12-01)
In this work, the linear and nonlinear feedback control techniques for chaotic systems were been considered. The optimal nonlinear control design problem has been resolved by using Dynamic Programming that reduced this ...