Нелинейная динамика
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Alligood K., Sauer T., Yorke J.A. Chaos: An Introduction to Dynamical Systems
New York: Springer, 1996. - 612 pp. На англ. яз.
Chaos: An Introduction to Dynamical Systems is a new textbook aimed at introducing the world of nonlinear dynamics and chaos to students in mathematics and the sciences. The authors' goal is to explain the basic concepts in a way that reflects the wide range of influences present during the development of nonlinear dynamics, from mathematics, theoretical science, experimental science, and computer simulation. The book is designed to be used by undergraduates or beginning graduate students who have completed the calculus sequence and a course in differential equations and matrix algebra.
Table of Contents. One-Dimensional Maps. Two-Dimensional Maps. Chaos. Fractals. Chaos in Two-Dimensional Maps. Chaotic Attractors.Differential Equations. Periodic Orbits and Limit Sets. Chaos in Differential Equations. Stable Manifolds and Crises. Bifurcations. Cascades. State reconstruction from data. Appendices.
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