ON THE GLOBAL BEHAVIOR OF SELF-OSCILLATORY SYSTEMS

Author:

MOROZOV A.D.1

Affiliation:

1. University of N. Novgorod, 603600, N. Novgorod, Russia

Abstract

The problem of the global behavior of the system with 3/2 degrees of freedom is considered in this paper. The results of the theoretical investigation of the case when the systems approach a nonlinear Hamiltonian system are presented. Using, for example, the Duffing-van der Pol equation, computer analysis gives good agreement with theory when the external force has moderate amplitude values (“miracle of a small parameter”). The bifurcations of the invariant torus and resonances are analyzed as a function of the system parameters.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Periodic Perturbations of Asymmetric Duffing–Van-der-Pol Equation;International Journal of Bifurcation and Chaos;2014-05

2. The problem of a pendulum with an oscillating point of suspension;Journal of Applied Mathematics and Mechanics;1995

3. ON THE STRUCTURE OF RESONANCE ZONES AND CHAOS IN NONLINEAR PARAMETRIC SYSTEMS;International Journal of Bifurcation and Chaos;1994-04

4. Resonances and chaos in parametric systems;Journal of Applied Mathematics and Mechanics;1994-01

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