Hyperbolic Chaos A Physicist’s View /

• Main Author: Kuznetsov, Sergey P. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Subjects: Physics.; System theory.; Statistical physics.; Vibration.; Dynamical systems.; Dynamics.; Nonlinear Dynamics.; Systems Theory, Control.; Vibration, Dynamical Systems, Control.

"Hyperbolic Chaos: A Physicist’s View” presents recent progress on uniformly hyperbolic attractors in dynamical systems from a physical rather than mathematical perspective (e.g. the Plykin attractor, the Smale – Williams solenoid). The structurally stable attractors manifest strong stochastic...

Table of Contents:

• Part I Basic Notions and Review: Dynamical Systems and Hyperbolicity
• Dynamical Systems and Hyperbolicity
• Part II Low-Dimensional Models: Kicked Mechanical Models and Differential Equations with Periodic Switch
• Non-Autonomous Systems of Coupled Self-Oscillators
• Autonomous Low-dimensional Systems with Uniformly Hyperbolic Attractors in the Poincar´e Maps
• Parametric Generators of Hyperbolic Chaos
• Recognizing the Hyperbolicity: Cone Criterion and Other Approaches
• Part III Higher-Dimensional Systems and Phenomena: Systems of Four Alternately Excited Non-autonomous Oscillators
• Autonomous Systems Based on Dynamics Close to Heteroclinic Cycle
• Systems with Time-delay Feedback
• Chaos in Co-operative Dynamics of Alternately Synchronized Ensembles of Globally Coupled Self-oscillators
• Part IV Experimental Studies: Electronic Device with Attractor of Smale-Williams Type
• Delay-time Electronic Devices Generating Trains of Oscillations with Phases Governed by Chaotic Maps.