Dynamic Behavior for a System of Four Coupled Nonlinear Oscillators with Delays

Gail Sellers

doi:https://doi.org/10.14445/22315373/IJMTT-V66I6P516

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P516

Dynamic Behavior for a System of Four Coupled Nonlinear Oscillators with Delays

Gail Sellers

Citation :

Gail Sellers, "Dynamic Behavior for a System of Four Coupled Nonlinear Oscillators with Delays," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 168-183, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P516

Abstract

In this paper, a system of two coupled damped Duffing resonators driven by two van der Pol oscillators with delays is studied. Some sufficient conditions to ensure the periodic and partial periodic oscillations for the system are established. Computer simulation is given to demonstrate our result.

Keywords

nonlinear system, time delay, periodic and partial periodic oscillation

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