Two typical steady-state bifurcations for time-reversible vector field families
Lim, C.C. McComb, I.-H.
McComb, I.-H.
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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.
Keywords
Steady-state bifurcations, Time-reversible vector field families
Source Title
Journal of Dynamics and Differential Equations
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Date
2001
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Article