#7234. Multiple Bifurcations and Complex Responses of Nonlinear Time-Delay Oscillators

October 2026publication date
Proposal available till 11-05-2025
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Journal’s subject area:
Ocean Engineering;
Applied Mathematics;
Aerospace Engineering;
Mechanical Engineering;
Control and Systems Engineering;
Electrical and Electronic Engineering;
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Abstract:
In this paper, the dynamical properties of multiple van der Pol-Duffing oscillators with time delays are studied. Different patterns of bifurcated solutions are given on the basis of the symmetric bifurcation theory. The interactions of bifurcations are discussed and their dynamical behaviors are shown. An electronic circuit platform is implemented by means of nonlinear circuit and time delay circuit. It is shown that the nonlinearity and time delays have great effects on the system performance and can induce interesting and abundant dynamic features.
Keywords:
amplitude death; time delay; van der Pol-Duffing oscillator; waves

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