Nonlinear Dynamics and Chaos with Student Solutions Manual
With Applications to Physics, Biology, Chemistry, and Engineering, Second Edition
Seiten
2016
|
2nd edition
Westview Press Inc
978-0-8133-5084-4 (ISBN)
Westview Press Inc
978-0-8133-5084-4 (ISBN)
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 first-order differential equations and their bifurcations.
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 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.
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 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.
Steven Strogatz is the Schurman Professor of Applied Mathematics at Cornell University. His honors include MIT's highest teaching prize, a lifetime achievement award for the communication of mathematics to the general public, and membership in the American Academy of Arts and Sciences. His research on a wide variety of nonlinear systems from synchronized fireflies to small-world networks has been featured in the pages of Scientific American, Nature, Discover, Business Week, and The New York Times.
Overview. One-Dimensional Flows. Flows on the Line. Bifurcations. Flows on the Cycle. Two-Dimensional Flows. Linear Systems. Phase Plane. Limit Cycles. Bifurcations Revisited. Chaos. Lorenz Equations. One-Dimensional Maps. Fractals.
| Sprache | englisch |
|---|---|
| Maße | 152 x 229 mm |
| Gewicht | 2180 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| ISBN-10 | 0-8133-5084-0 / 0813350840 |
| ISBN-13 | 978-0-8133-5084-4 / 9780813350844 |
| Zustand | Neuware |
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