Download E-books Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences) PDF

An software of the recommendations of dynamical structures and bifurcation theories to the examine of nonlinear oscillations. Taking their cue from Poincare, the authors rigidity the geometrical and topological homes of strategies of differential equations and iterated maps. a number of routines, a few of which require nontrivial algebraic manipulations and laptop paintings, express the real analytical underpinnings of difficulties in dynamical structures and support readers advance an intuitive think for the houses concerned.

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