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Dynamical Systems:     more books (100)

Structure of Dynamical Systems (Progress in Mathematics) by J.M. Souriau, 1997-09-23 Dynamical Systems in Population Biology (CMS Books in Mathematics) by Xiao-Qiang Zhao, 2010-11-02 The General Topology of Dynamical Systems (Graduate Studies in the Mathematical Sciences, V. 1) by Ethan Akin, 1993-03-29 Dynamical Systems: Examples of Complex Behaviour (Universitext) by Jürgen Jost, 2005-09-12 Dynamical Systems and Numerical Analysis (Cambridge Monographs on Applied and Computational Mathematics) by Andrew Stuart, A. R. Humphries, 1998-11-28 An Introduction to Dynamical Systems by D. K. Arrowsmith, C. M. Place, 1990-07-27 Dynamical Systems with Applications using Mathematica® by Stephen Lynch, 2007-10-01 Handbook of Dynamical Systems, Volume 1B Dynamical Systems IV: Symplectic Geometry and its Applications (Encyclopaedia of Mathematical Sciences) Geometric Theory of Discrete Nonautonomous Dynamical Systems (Lecture Notes in Mathematics) by Christian Pötzsche, 2010-09-17 Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) by Athanasios C. Antoulas, 2005-07-13 Substitution Dynamical Systems - Spectral Analysis (Lecture Notes in Mathematics) by Martine Queffélec, 2010-02-19 Nonlinear Dynamical Systems: Feedforward Neural Network Perspectives (Adaptive and Learning Systems for Signal Processing, Communications and Control Series) by Irwin W. Sandberg, James T. Lo, et all 2001-02-21 Modeling Identification and Simulation of Dynamical System by P. P. J. van den Bosch, A. C. van der Klauw, 1994-09-30

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    Extractions: Suzanne Lynch Hruska , August 2002 Advisor: John Smillie On the Numerical Construction of Hyperbolic Structures for Complex Dynamical Systems Abstract: Our main interest is using a computer to rigorously study -pseudo orbits for polynomial diffeomorphisms of C . Periodic -pseudo orbits form the R R is the chain recurrent set, R . This set is of fundamental importance in dynamical systems. Due to the theoretical and practical difficulties involved in the study of C , computers will presumably play a role in such efforts. Our aim is to use computers not only for inspiration, but to perform rigorous mathematical proofs. In this dissertation, we develop a computer program, called Hypatia , which locates R , sorts points into components according to their -dynamics, and investigates the property of hyperbolicity on R . The output is either "yes", in which case the computation

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