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|Title:||Two typical steady-state bifurcations for time-reversible vector field families||Authors:||Lim, C.C.
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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