Two dimensional attractors in the border collision normal form

Glendinning, Paul and Wong, Chi Hong (2010) Two dimensional attractors in the border collision normal form. [MIMS Preprint]

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New techniques are developed to show that the two-dimensional normal form for codimension one border collision bifurcations of fixed points of discrete time piecewise smooth dynamical systems has attractors which are themselves two dimensional. This makes it possible to prove the existence of these attractors for a countable set of parameter values which cannot be treated using the essentially one-dimensional methods in the literature.

Item Type: MIMS Preprint
Additional Information: CICADA
Uncontrolled Keywords: border collision bifurcation, attractor, piecewise smooth systems, piecewise affine systems
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory
PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 00 GENERAL PHYSICS > 05 Statistical physics, thermodynamics, and nonlinear dynamical systems
Depositing User: Professor Paul Glendinning
Date Deposited: 17 Nov 2010
Last Modified: 08 Nov 2017 18:18

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