Nonlinear dynamics : a hands-on introductory survey

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Tác giả: Marc R Roussel

Ngôn ngữ: eng

ISBN-13: 978-1643274614

ISBN-13: 978-1643274621

ISBN-13: 978-1643274645

Ký hiệu phân loại: 531.11 Dynamics

Thông tin xuất bản: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, 2019

Mô tả vật lý: 1 online resource (various pagings) : , illustrations (some color).

Bộ sưu tập: Tài liệu truy cập mở

ID: 161145

This book uses a hands-on approach to nonlinear dynamics using commonly available software, including the free dynamical systems software Xppaut, Matlab (or its free cousin, Octave) and the Maple symbolic algebra system. Detailed instructions for various common procedures, including bifurcation analysis using the version of AUTO embedded in Xppaut, are provided. This book also provides a survey that can be taught in a single academic term covering a greater variety of dynamical systems (discrete versus continuous time, finite versus infinite-dimensional, dissipative versus conservative) than is normally seen in introductory texts. Numerical computation and linear stability analysis are used as unifying themes throughout the book. Despite the emphasis on computer calculations, theory is not neglected, and fundamental concepts from the field of nonlinear dynamics such as solution maps and invariant manifolds are presented.
Includes bibliographical references.
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