Recipes for Continuation (Paperback)

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.

General

Imprint:	Society For Industrial & Applied Mathematics,U.S.
Country of origin:	United States
Series:	Computational Science and Engineering Series
Release date:	May 2013
Authors:	Harry Dankowicz • Frank Schilder
Dimensions:	229 x 152 x 29mm (L x W x T)
Format:	Paperback - Trade
Pages:	599
ISBN-13:	978-1-61197-256-6
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Computing & IT > Computer programming > Software engineering Books > Science & Mathematics > Physics > Classical mechanics > General Promotions
LSN:	1-61197-256-6
Barcode:	9781611972566

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!