Second period-doubling in a three-dimensional system

Mechanics Research Communications

Volumn 26, Issue 2, 1999, Pages 123-128

  Belhaq, M ^a   Freire, E ^b   Houssni, M ^a   Rodriguez Luis A J ^b  

^a FACULTÉ DES SCIENCES AIN CHOCK   (Morocco)

^b UNIVERSIDAD DE SEVILLA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); PARAMETER ESTIMATION; SYSTEM STABILITY; THREE DIMENSIONAL;

FLOQUET THEORY; STABILITY ANALYSIS; THREE DIMENSIONAL AUTONOMOUS SYSTEM;

CONTROL SYSTEM ANALYSIS;

EID: 0033096658     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0093-6413(99)00002-6     Document Type: Article

References (7)

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2. E. Doedel & X. Wang, Auto94: Software for Continuation and Bifurcation Problems in ODEs, California Institute of Technology (1995).
3. E. Freire, E. Gamero & E. Ponce, An algorithm for symbolic computation of Hopf bifurcation, Computers and Mathematics, E. Kaltofen & S.M. Watt (eds.), p. 109-118, Springer-Verlag, New York (1989).
4. A.H. Nayfeh, Perturbation Methods, John Wiley, New York (1973).
5. A.H. Nayfeh & B. Balachandran, Motion near a Hopf bifurcation of three-dimensional system, Mech. Res. Comm., 17, p.191-198 (1990).
6. A.H. Nayfeh & D.T. Mook, Nonlinear Oscillations, John Wiley, New York (1979).
7. R.H. Rand, Analytical approximation for period-doubling following a Hopf bifurcation, Mech. Res. Comm., 16, p. 117-123 (1989).