Robust chaos in piecewise-linear maps : a thesis submitted in partial fulfillment for the award of the degree of Doctor of Philosophy, School of Mathematical and Computational Sciences, Massey University, Palmerston North, New Zealand

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Title

Robust chaos in piecewise-linear maps : a thesis submitted in partial fulfillment for the award of the degree of Doctor of Philosophy, School of Mathematical and Computational Sciences, Massey University, Palmerston North, New Zealand

Content partner

Massey University

Collection

Massey Research Online

Description

Piecewise-linear maps describe the dynamical behaviour of a wide variety of physical systems that switch between different modes of evolution, such as optimal control systems, mechanical systems with contact events, and social and economics systems involving decisions or constraints. This thesis focuses on a canonical form for two-dimensional continuous piecewise-linear maps, known as the border-collision normal form. Recent work showed that where the normal form is orientation-preserving it ...

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Format

Research paper

Thesis level

Doctoral

Date created

2024-05-31

Creator

Ghosh, Indranil

URL

https://hdl.handle.net/10179/69704

Related subjects

piecewise-linear maps / difference equations / border-collision normal form / robust chaos / renormalisation / bifurcations / Chaotic behavior in systems / Bifurcation theory / Piecewise linear topology / Manifolds (Mathematics) / 490105 Dynamical systems in applications

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