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Price: 1769.00 RUB
Explore the Mathematical Foundations of Chaos: "Elements of the Theory of Discrete Dynamical Systems"
Dive into the fascinating world of nonlinear dynamics with this comprehensive academic textbook. Designed for students and specialists in mathematics, physics, and computer science, this guide systematically explores the core concepts of discrete dynamical systems—a key component of synergetics.
The book covers the construction of attractors for nonlinear mappings, including detailed proofs of chaos in modified baker transformations and Bernoulli shifts. Readers will find algorithms for building the Feigenbaum tree for logistic function analogs and calculating Feigenbaum constants, as well as methods for determining the self-similarity dimensions of attractors. The text also examines the modified Hénon map and provides algorithms for constructing Julia sets for polynomials and rational functions, with special attention to Chebyshev polynomials.
Packed with exercises of varying difficulty, the textbook includes a multi-stage computational assignment titled "Discrete Dynamical Systems" designed to foster creativity and competence. This resource is ideal for bachelor's, master's, and PhD students in fields like mathematics, mechanics, computer science, physics, and applied mathematics. It is also a valuable tool for nonlinear dynamics researchers, university instructors, and advanced high school students.
Price: 1769.00 RUB
