Nov

06

2019

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

smack 6 Nov 2019 06:14 LEARNING » e-book

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields


English | 462 pages | Springer; 1st ed. 1983. Corr. 6th printing 2002 edition (February 8, 2002) | 0387908196 | DJVU | 5.23 Mb

An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.
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