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Author:

Qin-yuan, P. (Qin-yuan, P..) | Li, L. (Li, L..)

Indexed by:

Scopus

Abstract:

In this paper based on [1] we go further into the study of chaotic behaviour of the forced oscillator containing a square nonlinear term by the methods of multiple scales and numerical simulation. Relation between the chaotic domain and principal resonance curve is discussed. By analyzing the stability of principal resonance curve we infer that chaotic motion would occur near the frequency at which the principal resonance curve has vertical tangent. Results of numerical simulation confirm this inference. Thus we offer an effective way to seek the chaotic motion of the systems which are hard to be investigated by Melnikov method. © 1995 Shanghai University of Technology (SUT).

Keyword:

chaotic motion; method of multiple scales; numerical simulation; principal resonance curve

Author Community:

  • [ 1 ] [Qin-yuan, P.]Changsha Railway University, Changsha, 410000, China
  • [ 2 ] [Li, L.]Beijing Polytechnic University, Beijing, 100022, China

Reprint Author's Address:

  • [Qin-yuan, P.]Changsha Railway University, Changsha, 410000, China

Email:

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Source :

Applied Mathematics and Mechanics

ISSN: 0253-4827

Year: 1995

Issue: 3

Volume: 16

Page: 229-236

4 . 4 0 0

JCR@2022

ESI Discipline: ENGINEERING;

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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