2008.114: Border collision bifurcations, snap-back repellers and chaos
2008.114: Paul Glendinning and Chi Hong Wong (2008) Border collision bifurcations, snap-back repellers and chaos.
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The normal form for codimension one border collision bifurcations of fixed points of discrete time piecewise smooth dynamical systems is considered in the unstable case. We show that in appropriate parameter regions there is a snap-back repeller immediately after the bifurcation, and hence that the bifurcation creates chaos. Although the chaotic solutions are repellers they may explain observations, and this is illustrated through an example.
|Item Type:||MIMS Preprint|
|Subjects:||MSC 2000 > 39 Difference and functional equations|
PACS 2003 > 05 Statistical physics, thermodynamics, and nonlinear dynamical systems
|Deposited By:||Professor Paul Glendinning|
|Deposited On:||27 February 2009|