By David Ruelle

parts of Differentiable Dynamics and Bifurcation conception offers an creation to differentiable dynamics, with emphasis on bifurcation idea and hyperbolicity that's crucial for the knowledge of complex time evolutions taking place in nature.

This ebook discusses the differentiable dynamics, vector fields, fastened issues and periodic orbits, and strong and risky manifolds. The bifurcations of mounted issues of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation also are elaborated. this article likewise covers the endurance of usually hyperbolic manifolds, hyperbolic units, homoclinic and heteroclinic intersections, and worldwide bifurcations.

This ebook is acceptable for mathematicians and mathematically susceptible scholars of the usual sciences.

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