The necessary condition for the appearance of chaos in two classes of forced vibration system with both square and cubic nonlinear terms

Li Qun Chen

The necessary condition for the appearance of chaos in two classes of forced vibration system with both square and cubic nonlinear terms

Li Qun Chen^*

^*Corresponding author for this work

Ansteel Group

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Two classes of forced vibration system with both square and cubic nonlinear terms are treated as Hamiltonian integrable systems under small perturbation. The Melnikov's functions are given. Thus the necessary condition for induction of chaos in the systems is obtained.

Original language	English
Pages (from-to)	381-386
Number of pages	6
Journal	Acta Mechanica Solida Sinica
Volume	4
Issue number	4
State	Published - Oct 1991
Externally published	Yes

Keywords

Melnikov's method
chaos
nonlinear oscillation

Cite this

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title = "The necessary condition for the appearance of chaos in two classes of forced vibration system with both square and cubic nonlinear terms",

abstract = "Two classes of forced vibration system with both square and cubic nonlinear terms are treated as Hamiltonian integrable systems under small perturbation. The Melnikov's functions are given. Thus the necessary condition for induction of chaos in the systems is obtained.",

keywords = "Melnikov's method, chaos, nonlinear oscillation",

author = "Chen, \{Li Qun\}",

year = "1991",

month = oct,

language = "英语",

volume = "4",

pages = "381--386",

journal = "Acta Mechanica Solida Sinica",

issn = "0894-9166",

publisher = "Huazhong University of Science and Technology",

number = "4",

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T1 - The necessary condition for the appearance of chaos in two classes of forced vibration system with both square and cubic nonlinear terms

AU - Chen, Li Qun

PY - 1991/10

Y1 - 1991/10

N2 - Two classes of forced vibration system with both square and cubic nonlinear terms are treated as Hamiltonian integrable systems under small perturbation. The Melnikov's functions are given. Thus the necessary condition for induction of chaos in the systems is obtained.

AB - Two classes of forced vibration system with both square and cubic nonlinear terms are treated as Hamiltonian integrable systems under small perturbation. The Melnikov's functions are given. Thus the necessary condition for induction of chaos in the systems is obtained.

KW - Melnikov's method

KW - chaos

KW - nonlinear oscillation

UR - https://www.scopus.com/pages/publications/0042277345

M3 - 文章

AN - SCOPUS:0042277345

SN - 0894-9166

VL - 4

SP - 381

EP - 386

JO - Acta Mechanica Solida Sinica

JF - Acta Mechanica Solida Sinica

IS - 4

ER -

The necessary condition for the appearance of chaos in two classes of forced vibration system with both square and cubic nonlinear terms

Abstract

Keywords

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