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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 ...
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 ...
Exploiting knowledge of jump-up and jump-down frequencies to determine the parameters of a Duffing oscillator
(2016-08-01)
This work concerns the application of certain non-linear phenomena - jump frequencies in a base-excited Duffing oscillator - to the estimation of the parameters of the system. First, approximate analytical expressions are ...
On rotating vectors, Jacobi elliptic functions and free vibration of the Duffing oscillator
(2020-11-01)
The free vibration displacement of an undamped hardening Duffing oscillator is described in exact form by a Jacobi elliptic function. Unlike an undamped linear oscillator, whose displacement is described by a trigonometric ...
Synchronization of a forced self-sustained Duffing oscillator
(EDP Sciences, 2014-12)
We study the dynamics of a mechanical oscillator with linear and cubic forces – the Duffing oscillator — subject to a feedback mechanism that allows the system to sustain autonomous periodic motion with well-defined amplitude ...