Name: Dynamical Systems Essentials. An application oriented introduction to ideas, concepts, examples, methods, and results
Price: 66.30 EUR
Availability: InStock
Author: Odo Diekmann;Yuri Kuznetsov;Wolf-Jurgen Beyn
ISBN: 9783032040824

portada Dynamical Systems Essentials. An application oriented introduction to ideas, concepts, examples, methods, and results

Dynamical Systems Essentials. An application oriented introduction to ideas, concepts, examples, methods, and results

Type

Physical Book

Publisher

Springer Nature Switzerland AG

Author

Odo Diekmann;Yuri Kuznetsov;Wolf-Jurgen Beyn

Collection

Texts in Applied Mathematics

Year

2025

Pages

376

Format

Hardcover

Dimensions

23.50 x 15.50 cm

ISBN13

9783032040824

Dynamical Systems Essentials. An application oriented introduction to ideas, concepts, examples, methods, and results

Odo Diekmann;Yuri Kuznetsov;Wolf-Jurgen Beyn (Author) · Springer Nature Switzerland AG · Hardcover

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Synopsis "Dynamical Systems Essentials. An application oriented introduction to ideas, concepts, examples, methods, and results"

This textbook offers a rigorous yet accessible introduction to the qualitative theory of dynamical systems, focusing on both discrete- and continuous-time systems—those defined by iterated maps and differential equations. With clarity and precision, it provides a conceptual framework and the essential tools needed to describe, analyze, and understand the behavior of real-world systems across the sciences and engineering. Designed for advanced undergraduates and early graduate students, the book assumes only a foundational background in analysis, linear algebra, and differential equations. It bridges the gap between introductory courses and more advanced treatments by offering a self-contained and balanced approach—one that integrates geometric intuition with analytical rigor. Key features include:A carefully curated selection of topics essential for applied contextsFull, detailed proofs of cornerstone results, including the Poincaré-Bendixson theorem, Lyapunov’s stability criteria, Grobman-Hartman theorem, Center Manifold theoremA unified treatment of discrete- and continuous-time systems, with discrete methods often paving the way for their continuous counterpartsEmploying modern functional analytic techniques to streamline and clarify complex argumentsSpecial attention to invariant manifolds, symbolic dynamics, and topological normal forms for codimension-one bifurcations Whether for students planning further study in pure or applied mathematics, or for those in disciplines such as physics, biology, or engineering seeking to apply dynamical systems theory in practice, this book offers a concise yet comprehensive entry point. Instructors will appreciate its modular structure and completeness, while students will benefit from its clarity, rigor, and insightful presentation.