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Continuous and Discontinuous Piecewise-Smooth One-Dimensional Maps: Invariant Sets and Bifurcation Structures.

9789814368827

Continuous and Discontinuous Piecewise-Smooth One-Dimensional Maps: Invariant Sets and Bifurcation Structures

Viktor Avrutin, Laura Gardini, Iryna Sushko, and Fabio Tramontana

World Scientific

2019

634 pages

$162.00

Hardcover

World Scientific Series on Nonlinear Science. Series A; Volume 95

QA614

To contribute to the theory of piecewise smooth dynamical systems, Avrutin considers the simplest class of these systems: one-dimensional piecewise monotone maps defined on two partitions. His main focus is on attractors and various other invariant sets of such maps, and the related bifurcation structures observed in their parameter space. He covers general concepts and tools, bifurcations in piecewise smooth maps, bifurcation scenarios (overview), map replacement, skew tent map, adding structures, incrementing structures, and organizing centers. (Ringgold, Inc., Portland, OR)

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Article Type:Book review
Date:Sep 1, 2019
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