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Numerical Bifurcation Analysis of Maps - From Theory to Software (Hardcover)
Loot Price: R3,576
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Numerical Bifurcation Analysis of Maps - From Theory to Software (Hardcover)
Series: Cambridge Monographs on Applied and Computational Mathematics
Expected to ship within 12 - 17 working days
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This book combines a comprehensive state-of-the-art analysis of
bifurcations of discrete-time dynamical systems with concrete
instruction on implementations (and example applications) in the
free MATLAB (R) software MatContM developed by the authors. While
self-contained and suitable for independent study, the book is also
written with users in mind and is an invaluable reference for
practitioners. Part I focuses on theory, providing a systematic
presentation of bifurcations of fixed points and cycles of
finite-dimensional maps, up to and including cases with two control
parameters. Several complementary methods, including Lyapunov
exponents, invariant manifolds and homoclinic structures, and parts
of chaos theory, are presented. Part II introduces MatContM through
step-by-step tutorials on how to use the general numerical methods
described in Part I for simple dynamical models defined by one- and
two-dimensional maps. Further examples in Part III show how
MatContM can be used to analyze more complicated models from modern
engineering, ecology, and economics.
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