Recipes for Continuation (BOK)

Harry Dankowicz, Frank Schilder

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This book provides a comprehensive introduction to the mathematical methodology of parameter continuation. It develops a systematic formalism for constructing and implementing abstract representations of continuation problems with equal emphasis on theoretical rigor, algorithm development and software engineering. The book demonstrates the use of fully developed toolbox templates for boundary-value problems to the analysis of periodic orbits, quasi-periodic invariant tori, and connecting orbits between equilibria and/or periodic orbits. The book contains extensive and fully-worked examples that illustrate the application of the MATLAB-based Computational Continuation Core (COCO) to cutting-edge research in applied dynamical systems. Many exercises and open-ended projects on both theoretical and algorithmic aspects of the material are provided, suitable for self-study and course assignments. It is intended for students and teachers of nonlinear dynamics and engineering at the advanced undergraduate or first-year graduate level, as well as practitioners engaged in modeling dynamical systems or software development.

Produktfakta

Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2013 Forfatter Frank Schilder, Harry Dankowicz
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9781611972566
Antall sider 600 Dimensjoner 17,4cm x 24,7cm x 2,9cm
Vekt 1050 gram Leverandør Bertram Trading Ltd
Emner og form Software Engineering, Mathematical theory of computation, Dynamics & statics