Recipes for Continuation

Language: English

Published by Society for Industrial and Applied Mathematics,U.S., US, 2013

1611972566 / 9781611972566

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This book provides a comprehensive introduction to the mathematical methodology of parameter continuation, the computational analysis of families of solutions to nonlinear mathematical equations. It develops a systematic formalism for constructing abstract representations of continuation problems and for implementing these in an existing computational platform.Recipes for Continuation: Lends equal importance to theoretical rigor, algorithm development, and software engineering. Demonstrates the use of fully developed toolbox templates for single- and multisegment boundary-value problems to the analysis of periodic orbits in smooth and hybrid dynamical systems, quasi-periodic invariant tori, and homoclinic and heteroclinic connecting orbits between equilibria and/or periodic orbits. Shows the use of vectorization for optimal computational efficiency, an object-oriented paradigm for the modular construction of continuation problems, and adaptive discretization algorithms for guaranteed bounds on estimated errors. Contains extensive and fully worked examples that illustrate the application of the MATLAB?-based Computational Continuation Core (COCO) to problems from recent research literature that are relevant to dynamical system models from mechanics, electronics, biology, economics, and neuroscience.…

Seller Inventory # LU-9781611972566

Title
Recipes for Continuation
Author
Harry Dankowicz, Frank Schilder
Publisher
Society for Industrial and Applied Mathematics,U.S., US
Publication year
2013
Condition
New
Binding
Paperback
Language
English
ISBN 10
1611972566
ISBN 13
9781611972566
Item weight
1,050 grams

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