Examining the mathematical structures of chaos and the self-similar geometric patterns (fractals) that often accompany chaotic attractors.
Exercises designed to be used with standard software packages to explore dynamics through simulation. CHAOS: An Introduction to Dynamical Systems
is a foundational textbook authored by Kathleen T. Alligood, Tim D. Sauer, and James A. Yorke, published by Springer . Developed through extensive class-testing, it is designed for undergraduate and graduate courses in nonlinear dynamics within mathematics and physics departments. Key Subject Areas Examining the mathematical structures of chaos and the
Investigating how the qualitative behavior of a system changes as its parameters vary. Educational Features Alligood, Tim D
Brief reports illustrating concepts in real-world contexts like chemistry, biology, and the physical sciences.
Analysis of systems where time is treated in separate steps, such as the logistic map.
The book is noted for its hands-on approach to learning, including:
Examining the mathematical structures of chaos and the self-similar geometric patterns (fractals) that often accompany chaotic attractors.
Exercises designed to be used with standard software packages to explore dynamics through simulation.
is a foundational textbook authored by Kathleen T. Alligood, Tim D. Sauer, and James A. Yorke, published by Springer . Developed through extensive class-testing, it is designed for undergraduate and graduate courses in nonlinear dynamics within mathematics and physics departments. Key Subject Areas
Investigating how the qualitative behavior of a system changes as its parameters vary. Educational Features
Brief reports illustrating concepts in real-world contexts like chemistry, biology, and the physical sciences.
Analysis of systems where time is treated in separate steps, such as the logistic map.
The book is noted for its hands-on approach to learning, including: