Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/130430
Title: Two typical steady-state bifurcations for time-reversible vector field families
Authors: Lim, C.C. 
McComb, I.-H.
Keywords: Steady-state bifurcations
Time-reversible vector field families
Issue Date: 2001
Citation: Lim, C.C., McComb, I.-H. (2001). Two typical steady-state bifurcations for time-reversible vector field families. Journal of Dynamics and Differential Equations 13 (2) : 251-274. ScholarBank@NUS Repository.
Abstract: Two typical steady-state bifurcations for time-reversible vector field families are studied, including allowance for a nontrivial nullspace forced by time-reversal symmetry. Under certain nondegeneracy conditions, it is shown that either a nontime-symmetric pitchfork or a time-symmetric transcritical bifurcation occurs. The method is extended to the equivariant case and applied by way of example to a class of time-reversible problems with D n × O(2) symmetries which includes the particle sedimentation model known as the Stokeslet model. © 2001 Plenum Publishing Corporation.
Source Title: Journal of Dynamics and Differential Equations
URI: http://scholarbank.nus.edu.sg/handle/10635/130430
ISSN: 10407294
Appears in Collections:Staff Publications

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