Volume 116, Number 5, December 2016
|Number of page(s)||5|
|Published online||11 January 2017|
Bifurcation from an invariant to a non-invariant attractor
Indian Institute of Science Education and Research Kolkata - Nadia, West Bengal-741246, India
Received: 3 November 2016
Accepted: 21 December 2016
Switching dynamical systems are very common in many areas of physics and engineering. We consider a piecewise linear map that periodically switches between more than one different functional forms. We show that in such systems it is possible to have a border collision bifurcation where the system transits from an invariant attractor to a non-invariant attractor.
PACS: 02.30.Oz – Bifurcation theory / 45.30.+s – General linear dynamical systems
© EPLA, 2016
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