On the homoclinic orbits in a class of two-degree-of-freedom systems under the resonance conditions

Applied Mathematics and Mechanics (English Edition)

Volumn 22, Issue 3, 2001, Pages 340-352

  Wang, M N ^a   Xu, Z Y ^a  

^a WUXI UNIVERSITY OF LIGHT INDUSTRY   (China)

Author keywords

A two degree of freedom system; Chaos; Homoclinic orbit; Method of multiple scales; Periodic solution

Indexed keywords

CHAOS THEORY; RESONANCE;

HOMOCLINIC ORBITS;

DEGREES OF FREEDOM (MECHANICS);

EID: 0034888249     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015518822779     Document Type: Article

References (3)

1. On the existence of chaos in a class of two-degree-of-freedom, damped, strongly parametrically forced mechanical systems with broken O(2) symmetry
2. Orbits homoclinic to resonances, with an application to chaos in a model of the forced and damped sine-Gordon equation