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TitleDynamical Systems [electronic resource] : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-26, 2000
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 2003
Connect tohttp://dx.doi.org/10.1007/b13403
Descript XIV, 354 p. online resource

SUMMARY

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.


CONTENT

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


Mathematics Dynamics Ergodic theory Differential equations Partial differential equations Mathematics Dynamical Systems and Ergodic Theory Ordinary Differential Equations Partial Differential Equations



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