MELNIKOV'S METHOD AND STICK–SLIP CHAOTIC OSCILLATIONS IN VERY WEAKLY FORCED MECHANICAL SYSTEMS-Reference-Cited by-同舟云学术

MELNIKOV'S METHOD AND STICK–SLIP CHAOTIC OSCILLATIONS IN VERY WEAKLY FORCED MECHANICAL SYSTEMS

Published:1999-03 Issue:03 Volume:09 Page:505-518
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

AWREJCEWICZ J.¹,HOLICKE M. M.¹

Affiliation:

1. Technical University of Łódź, Division of Automatics and Biomechanics (K-16), 1/15 Stefanowskiego St., 90-924 Łódź, Poland

Abstract

In this paper we predict stick–slip chaotic dynamics in a one-degree-of-freedom very weakly forced (quasiautonomous) oscillator using the Melnikov's technique. Numerical simulation confirms the validity of our approach.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127499000341

Reference19 articles.

1. Chaotic motion in a nonlinear oscillator with friction

2. Bifurcations and chaos of a particular van der Pol-Duffing oscillator

3. Nonlinear dynamics of a two-body nonlinear mechanical system

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