Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry And Engineering (Studies in Nonlinearity),New

Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry And Engineering (Studies in Nonlinearity),New

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This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples and geometric intuition. The theory is developed systematically, starting with firstorder 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.A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory.Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or firstyear graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics.

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Frequently Asked Questions

  • Q: What topics are covered in 'Nonlinear Dynamics and Chaos'? A: The textbook covers a range of topics including first-order differential equations, bifurcations, phase plane analysis, limit cycles, Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
  • Q: What is the target audience for this textbook? A: This textbook is aimed at newcomers to nonlinear dynamics and chaos, particularly students taking their first course in the subject, as well as scientists looking to begin informal study.
  • Q: What prerequisites are needed for understanding this book? A: The prerequisites for this textbook include multivariable calculus and introductory physics.
  • Q: Is this book suitable for self-study? A: Yes, the book is ideal for self-study, as it explains scientific backgrounds at an elementary level and integrates them closely with mathematical theory.
  • Q: How many pages does 'Nonlinear Dynamics and Chaos' have? A: The textbook has a total of 512 pages.
  • Q: What is the binding type of this textbook? A: The book is available in hardcover binding.
  • Q: When was 'Nonlinear Dynamics and Chaos' published? A: The book was published on April 20, 1994.
  • Q: What unique features does this book offer? A: The book emphasizes applications in various fields such as mechanical vibrations, lasers, biological rhythms, and chaotic systems, making it practical for real-world scenarios.
  • Q: Does the book include exercises or examples? A: Yes, it is richly illustrated and contains many exercises and worked examples to aid learning.
  • Q: Who is the author of this textbook? A: The author of 'Nonlinear Dynamics and Chaos' is Steven H. Strogatz.