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by John Guckenheimer, Philip Holmes

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 ...

by Martin Golubitsky, Ian Stewart, David G. Schaeffer

Bifurcation theory studies how the structure of solutions to equations changes as parameters are varied. The nature of these changes depends both on the number of parameters and on the ...

by Jack K. Hale, Hüseyin Kocak

In recent years, due primarily to the proliferation of computers, dynamical systems has again returned to its roots in applications. It is the aim of this book to provide undergraduate ...

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