Working with Dynamical Systems

A Toolbox for Scientists and Engineers

Len Pismen

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Paperback

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English

CRC Press
31 May 2023

Applied mathematics; Physics; Fluid mechanics; Plasma physics; Mechanics of fluids

Series: Series in Computational Biophysics

This book provides working tools for the study and design of nonlinear dynamical systems applicable in physics and engineering. It offers a broad-based introduction to this challenging area of study, taking an applications-oriented approach that emphasizes qualitative analysis and approximations rather than formal mathematics or simulation. The author, an internationally recognized authority in the field, makes extensive use of examples and includes executable Mathematica notebooks that may be used to generate new examples as hands-on exercises. The coverage includes discussion of mechanical models, chemical and ecological interactions, nonlinear oscillations and chaos, forcing and synchronization, spatial patterns and waves.

Key Features:

Written for a broad audience, avoiding dependence on mathematical formulations in favor of qualitative, constructive treatment Extensive use of physical and engineering applications Incorporates Mathematica notebooks for simulations and hands-on self-study Provides a gentle but rigorous introduction to real-world nonlinear problems Features a final chapter dedicated to applications of dynamical systems to spatial patterns

The book is aimed at student and researchers in applied mathematics and mathematical modelling of physical and engineering problems. It teaches to see common features in systems of different origins, and to apply common methods of study without losing sight of complications and uncertainties related to their physical origin.

By: Len Pismen
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 191mm,
Weight: 539g
ISBN: 9780367636289
ISBN 10: 036763628X
Series: Series in Computational Biophysics
Pages: 236
Publication Date: 31 May 2023
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

Len Pismen is Emeritus Professor of Fluid Mechanics at the Technion – Israel Institute of Technology. His other books include Vortices in Nonlinear Fields (1999), Patterns and Interfaces in Dissipative Dynamics (2006), and general audience books The Swings of Science (2018) and Morphogenesis Deconstructed (2020).