The goal of this third edition of Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineeringis the same as previous editions: to provide a good foundation - and a joyful experience - for anyone who'd like to learn about nonlinear dynamics and chaos from an applied perspective.

The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

The prerequisites are comfort with multivariable calculus and linear algebra, as well as a first course in physics. Ideas from probability, complex analysis, and Fourier analysis are invoked, but they're either worked out from scratch or can be safely skipped (or accepted on faith).

Changes to this edition include substantial exercises about conceptual models of climate change, an updated treatment of the SIR model of epidemics, and amendments (based on recent research) about the Selkov model of oscillatory glycolysis. Equations, diagrams, and every word has been reconsidered and often revised. There are also about 50 new references, many of them from the recent literature.

The most notable change is a new chapter. Chapter 13 is about the Kuramoto model.

The Kuramoto model is an icon of nonlinear dynamics. Introduced in 1975 by the Japanese physicist Yoshiki Kuramoto, his elegant model is one of the rare examples of a high-dimensional nonlinear system that can be solved by elementary means.

Students and teachers have embraced the book in the past, its general approach and framework continue to be sound.

• We started tracking this book on May 9, 2024.
• This book was $67.49 when we started tracking it.
• The price of this book has changed 23 times in the past 645 days.
• The current price of this book is $79.01 last checked 8 hours ago.
• This lowest price this book has been offered at in the past 90 days is $69.10.
• This lowest price this book has been offered at in the past year is $56.44.
• The lowest price to date was $56.44 last reached on July 20, 2025.
• This book has been $56.44 one time since we started tracking it.
• The highest price to date was $81.59 last reached on February 10, 2026.
• This book has been $81.59 one time since we started tracking it.

• Science & MathMathematicsAppliedDifferential Equations
• Science & MathMathematicsPopular & ElementaryArithmetic

• Publication Date: January 16, 2024
• Text-to-Speech: Disabled
• Lending: Disabled
• File Size: 233 KB