Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity - Rilegato

Wen, Lan

 
9781470427993: Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity

Sinossi

This graduate text covers hyperbolic theory of dynamical systems, with emphasis on structural stability. For the sake of simplicity, the book focuses on the discrete setting and the iterates of diffeomorphisms. The text begins with fundamentals of dynamical systems, then covers hyperbolic fixed points, horseshoes, toral automorphisms, solenoids, and hyperbolic sets. Other areas covered include axiom A, quasi-hyperbolicity, and linear transversality. Chapter exercises are included. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)

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