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.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Illustrationen
43 farbige Abbildungen, 53 s/w Abbildungen, 53 s/w Zeichnungen
53 Line drawings, black and white; 43 Illustrations, color; 53 Illustrations, black and white
Maße
Höhe: 235 mm
Breite: 191 mm
Gewicht
ISBN-13
978-1-138-59171-4 (9781138591714)
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Schweitzer Klassifikation
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).
Dynamical systems in physics, chemistry, and biology. Attractors and basin boundaries. Bifurcations of stationary states and periodic orbits. Singular bifurcations and normal forms. Deterministic chaos. Synchronization and control. Dynamics of patterns. Dynamical systems in space
