Chaotic behavior for Duffing's equation with two external forcing terms

Progress in Natural Science

Volumn 9, Issue 3, 1999, Pages 178-179

  Jing, Zhujun ^a   Xu, Pengcheng ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

Duffing's equation; Melnikov's methods; Periodic perturbation; Quasi periodic perturbation; Second order averaging

Indexed keywords

CHAOTIC BEHAVIOUR; DUFFING EQUATIONS; FORCING TERMS; MELNIKOV METHOD; PERIODIC PERTURBATION; QUASI-PERIODIC PERTURBATION; SECOND ORDER AVERAGING; SECOND ORDERS; THRESHOLD-VALUE; TWO EXTERNAL FORCINGS;

PERTURBATION TECHNIQUES;

EID: 4243053297     PISSN: 10020071     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

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3. Guckenheimer, J., Holmes, P., Nonlinear oscillations, Dynamical System and Bifurcation of Vector Fields, Berlin: Springer, 1983.
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6. Ide, K., Wiggens, S., The bifurcation to homoclinic tori in the quasiperiodically forced Duffing's oscillator, Physica D, 1989, 34: 169.