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portada Nonlinear Dynamics: A Hands-On Introductory Survey
Type
Physical Book
Author
Publisher
Language
English
Pages
189
Format
Paperback
Dimensions
25.4x17.8x1 cm
Weight
0.34 kg.
ISBN13
9781643274614
Categories

Nonlinear Dynamics: A Hands-On Introductory Survey

Marc R. Roussel (Author) · Iop Concise Physics · Paperback

Nonlinear Dynamics: A Hands-On Introductory Survey - Roussel, Marc R.

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Synopsis "Nonlinear Dynamics: A Hands-On Introductory Survey"

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.

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