Dynamical Systems - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-26, 2000

The C.I.M.E. session on Dynamical Systems, held in Cetraro (Italy), June 19-26, 2000, focused on the latest developments in several important areas in dynamical systems, with full development and historical context. The lectures of Chow and Mallet-Paret focus on the area of lattice differential systems, the lectures of Conto and Galleotti treat the classical problem of classification of orbits for two-dimensional autonomous systems with polynomial right sides, the lectures of  Nussbaum focus on applications of fixed point theorems to the problem of limiting profiles for the solutions of singular perturbations of delay differential equations, and the lectures of Johnson and Mantellini deal with the existence of periodic and quasi-periodic orbits to non-autonomous systems. The volume will be of interest to researchers and graduate students working in these areas. 

List of contents

Preface.- S.-N. Chow: Lattice Dynamical Systems.- R. Conti, M. Galeotti: Totally bounded cubic systems in R2.- R. Johnson, F. Mantellini: Non-Autonomous Differential Equations.- J. Mallet-Paret: Traveling Waves in Spatially Discrete Dynamical Systems of Diffuse Type.- R.D. Nussbaum: Limiting Profiles For Solutions of Differential-Delay Equations.

Report

From the reviews:

"This volume contains the lectures given at the CIME summer school held in Cetraro, Italy June 19-26, 2000. The summer school focused on recent developments in some areas of dynamical systems. ... can be recommended to researchers and graduate students working in these areas." (Tibor Krisztin, Acta Scientiarum Mathematicarum, Vol. 74, 2008)

Product details

• Authors: S. -N. Chow, S.-N. Chow, Roberto Conti, R. Johnson, J. Mallet-Paret, R. Nußbaum
• Assisted by: J. W. Macki (Editor), Pietro Zecca (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 23.10.2003
• EAN: 9783540407867
• ISBN: 978-3-540-40786-7
• No. of pages: 354
• Dimensions: 157 mm x 235 mm x 22 mm
• Weight: 554 g
• Illustrations: XIV, 354 p.
• Series: Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; C, Dynamics, Mathematics and Statistics, Ordinary Differential Equations, Dynamical Systems and Ergodic Theory, Partial Differential Equations, Ergodic theory, Differential calculus & equations, Differential equations, Dynamical systems