Degenerated hopf bifurcations in a stochastically disturbed non-linear system

Journal of Sound and Vibration

Volumn 219, Issue 2, 1999, Pages 359-369

  To, C W S ^a   Li, D M ^a  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DEGREES OF FREEDOM (MECHANICS); PERTURBATION TECHNIQUES; RANDOM PROCESSES;

HOPF BIFURCATIONS;

VIBRATION CONTROL;

EID: 0032761660     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1818     Document Type: Editorial

References (6)

1. C. W. S. TO, D. M. LI and K. L. HUANG 1997 Journal of Sound and Vibration 201, 648-656. Supercritical and subcritical Hopf bifurcations in a stochastically excited system.
2. R. L. STRATONOVICH 1963 Topics in The Theory of Random Noise 2. New York: Gordon and Breach.
3. R. L. STRATONOVICH 1963 Topics in The Theory of Random Noise 1. New York: Gordon and Breach.
4. M. GOLUBITSKY and D. G. SCHAEFFER 1985 Singularities and Groups in Bifurcation Theory 1. New York: Springer-Verlag.
5. R. Z. KHAS'MINSKII 1966 Theory of Probability and Applications 11, 390-406. A limit theorem for the solutions of differential equations with random right-hand sides.
6. M. GOLUBITSKY and W. F. LANGFORD 1981. Journal of Differential Equations 41, 375-415. Classification and unfolding of degenerate Hopf bifurcation.