Introduction to the Theory of Infinite-Dimensional Dissipative Systems
by Constantin I. Chueshov
Publisher: ACTA 2002
Number of pages: 419
This book is an exhaustive introduction to the main ideas of infinite-dimensional dissipative dynamical systems. The author outlines a variety of interlaced tools applied in the study of nonlinear dynamical phenomena in distributed systems. The results presented have direct applications to many developing areas of physics, mechanical engineering and biology.
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by A. T. Baraviera, R. Leplaideur, A. O. Lopes - arXiv
We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of max-plus algebra, in order to exhibit some properties of equilibrium measures when temperature goes to zero.
by Thomas Ward - University of East Anglia
These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit hyperbolicity. This approach goes a little beyond simply providing a convenient language.
by Bai-Lin Hao - World Scientific
This is a monograph on chaos in dissipative systems written for those working in the physical sciences. Emphasis is on symbolic description of the dynamics and characteristics of the attractors, written from the view-point of practical applications.
by Julio C. Rebelo, Helena Reis - arXiv
Informal lecture notes intended for graduate students about the standard local theory of holomorphic foliations and vector fields. Though the material presented here is well-known some of the proofs differ slightly from the classical arguments.