Six lectures on dynamical systems

✍ Scribed by Aulbach B., Colonius F. (eds.)

• Publisher: World Scientific
• Year: 1996
• Tongue: English
• Leaves: 316
• Category: Library

✦ Synopsis

Vijay Kumar Patodi was a brilliant Indian mathematician who made, during his short life, fundamental contributions to the analytic proof of the index theorem and to the study of differential geometric invariations of manifolds. This volume includes his pathbreaking papers on the McKean-Singer conjecture and the analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds. It also contains his celebrated joint papers on the index theorem and the Atiyah-Patodi-Singer invariant Dynamical Systems: The Topological Foundations / Ethan Akin -- Integral Manifolds for Caratheodory Type Differential Equations in Banach Spaces / Bernd Aulbach and Thomas Wanner -- Control Theory and Dynamical Systems / Fritz Colonius and Wolfgang Kliemann -- Shadowing in Discrete Dynamical Systems / Brian A. Coomes, Huseyin Kocak and Kenneth J. Palmer -- Perturbations of Invariant Manifolds of Ordinary Differential Equations / George Osipenko and Eugene Ershov -- The Reduction of Discrete Dynamical and Semidynamical Systems in Metric Spaces / Andrejs Reinfelds