Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering

This third edition of Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering provides a solid foundation and enjoyable experience for learning about nonlinear dynamics and chaos from an applied perspective. It covers first-order differential equations, phase plane analysis, limit cycles, Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. Changes include new exercises on climate change, updated treatments of the SIR model, and amendments to the Selkov model. The book has been widely adopted by students and teachers, and its approach and framework remain sound.

Format: Paperback / softback
Length: 601 pages
Publication date: 16 January 2024
Publisher: Taylor & Francis Ltd

The third edition of Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering serves as a comprehensive and engaging guide for individuals seeking to delve into the realm of nonlinear dynamics and chaos from an applied perspective. The book maintains the same goal as its predecessors: to provide a solid foundation and an enjoyable learning experience for those interested in exploring these complex phenomena.

The presentation of the material emphasizes analytical methods, concrete examples, and geometric intuition, making the theory accessible and engaging for a wide range of readers. The theory is developed systematically, beginning with first-order differential equations and their bifurcations, progressing to phase plane analysis, limit cycles, bifurcations, and culminating in the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

To fully comprehend the concepts presented, it is essential to have a solid grasp of multivariable calculus and linear algebra, as well as a foundational understanding of physics. While ideas from probability, complex analysis, and Fourier analysis are introduced, they are either worked out from scratch or can be safely skipped or accepted on faith.

This edition includes substantial exercises focused on conceptual models of climate change, an updated treatment of the SIR model of epidemics, and amendments based on recent research regarding the Selkov model of oscillatory glycolysis. Every word, equation, and diagram has been meticulously reconsidered and frequently revised to enhance clarity and accuracy. Additionally, there are approximately 50 new references, many of which are drawn from the recent literature.

One of the most significant changes in this edition is the addition of a new chapter dedicated to the Kuramoto model. The Kuramoto model, introduced in 1975 by the Japanese physicist Yoshiki Kuramoto, stands as an iconic representation of nonlinear dynamics. It is remarkable for being one of the few high-dimensional nonlinear systems that can be solved using elementary methods.

The book has garnered widespread popularity among students and teachers alike, and its broad appeal is attributed to its comprehensive coverage, practical applications, and engaging writing style. Whether you are a student seeking to deepen your understanding of nonlinear dynamics or a professional seeking to apply these concepts in your field, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering is an invaluable resource.

Weight: 1140g
Dimension: 234 x 156 (mm)
ISBN-13: 9780367026509
Edition number: 3 ed