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Background: On Georg Duffing and the Duffing Equation
(2011-03-03)
In this chapter a historical background to Duffing's work is given. In addition, his biography and bibliography are presented. The content of his famous book is described. The evolution of his work to the present day is ...
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 ...
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 ...
Sufficient conditions for the existence of periodic solutions of the extended Duffing–Van der Pol oscillator
(2016-08-02)
In this paper, some aspects on the periodic solutions of the extended Duffing–Van der Pol oscillator are discussed. Doing different rescaling of the variables and parameters of the system associated with the extended ...
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)
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 ...
On the periodic solutions of a class of duffing differential equations
(2013-01-01)
In this work we study the periodic solutions, their stability and bifurcation for the class of Duffing differential equation mathematical equation represented where C > 0, ε > 0 and Λ are real parameter, A(t), b(t) and ...