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 Jaime E. Villate
In this book we explore some topics on dynamical systems, using an active teaching approach, supported by computing tools. The subject of this book on dynamical systems is at the borderline of physics, mathematics and computing.
by M.W. Hirsch, Hal Smith
From the table of contents: Introduction; Strongly Order-Preserving Semiflows; Generic Convergence and Stability; Ordinary Differential Equations; Delay Differential Equations; Monotone Maps; Semilinear Parabolic Equations.
by Eric Tesse - arXiv
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must possess in order for the formalism to hold.
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The monograph presents a generalization of the well-known Lyapunov function method and related concepts to the matrix function case within the framework of systematic stability analysis of dynamical systems (differential equations).