Dynamical Analysis of Delayed Autonomous and Non-Autonomous Oscillators
Chunhua Feng *
Department of Mathematics and Computer Science, Alabama State University, Montgomery, USA.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the oscillatory behavior of the solutions for a five-dimensional system of coupled van der Pol-Hamiltonian-Duffing oscillator with delays is investigated. We extend the existing result in the literature from mathematical point of view. Some sufficient conditions to guarantee the oscillation of the solutions are provided and computer simulations are given to support the present criteria.
Keywords: Nonlinear oscillator, delay, instability, oscillation