Nonlinear dynamics and chaos with applications to physics biology chemistry and engineering 2nd Edition by Steven Strogatz – Ebook PDF Instant Download/Delivery: 0813349117, 9780813349114
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Product details:
ISBN 10: 0813349117
ISBN 13: 9780813349114
Author: Steven H. Strogatz
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.
Table of contents:
Part I: One-Dimensional Flows
1.Overview
2.Flows on the Line
3.Bifurcations
4.Flows on the Circle
Part II: Two-Dimensional Flows
5. Linear Systems
6. Phase Plane
7. Limit Cycles
8. Bifurcations Revisited
Part III: Chaos
9. Lorenz Equations
10. One-Dimensional Maps
11. Fractals
12. Strange Attractors
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Tags: Steven Strogatz, Nonlinear, dynamics, applications