Stochastic and Spatial Structures of Dynamical Systems

Stochastic and Spatial Structures of Dynamical Systems PDF Author: Sebastian van Strien
Publisher: Elsevier Science & Technology
ISBN:
Category : Mathematics
Languages : en
Pages : 250

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Book Description
Paperback. Recently great progress has been made in the field of dynamical systems. Several new developments in dynamical systems are important or will become so in the near future.The areas that are covered are close to the applications and related to noise, randomness and spatial structures.This book comprises of articles by most of the speakers at the meeting and is divided into three parts; I. the effect of noise on data generated by dynamical systems and testing whether these dynamical systems adequately model reality; II. spatial structures which can be generated by dynamical systems and which act on a network of coupled systems (coupled lattice maps); III. random differential equations and applications to biology.

Stochastic and Spatial Structures of Dynamical Systems

Stochastic and Spatial Structures of Dynamical Systems PDF Author: Sebastian van Strien
Publisher: Elsevier Science & Technology
ISBN:
Category : Mathematics
Languages : en
Pages : 250

Get Book Here

Book Description
Paperback. Recently great progress has been made in the field of dynamical systems. Several new developments in dynamical systems are important or will become so in the near future.The areas that are covered are close to the applications and related to noise, randomness and spatial structures.This book comprises of articles by most of the speakers at the meeting and is divided into three parts; I. the effect of noise on data generated by dynamical systems and testing whether these dynamical systems adequately model reality; II. spatial structures which can be generated by dynamical systems and which act on a network of coupled systems (coupled lattice maps); III. random differential equations and applications to biology.

From Finite to Infinite Dimensional Dynamical Systems

From Finite to Infinite Dimensional Dynamical Systems PDF Author: James Robinson
Publisher: Springer Science & Business Media
ISBN: 9780792369752
Category : Mathematics
Languages : en
Pages : 240

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Book Description
This volume contains six papers originally presented at a NATO Advanced Study Institute held in Cambridge, U.K. in 1995 on the fundamental properties of partial differential equations and modeling processes involving spatial dynamics. The contributors, from academic institutions in Europe and the U.S., discuss such topics as lattice dynamical systems, low-dimensional models of turbulence, and nonlinear dynamics of extended systems. The volume is not indexed. c. Book News Inc.

Dynamical Systems

Dynamical Systems PDF Author: S.-N. Chow
Publisher: Springer
ISBN: 3540452044
Category : Mathematics
Languages : en
Pages : 362

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Book Description
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.

Fractal Geometry and Stochastics II

Fractal Geometry and Stochastics II PDF Author: Christoph Bandt
Publisher: Birkhäuser
ISBN: 3034883803
Category : Mathematics
Languages : en
Pages : 286

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Book Description
A collection of contributions by outstanding mathematicians, highlighting the principal directions of research on the combination of fractal geometry and stochastic methods. Clear expositions introduce the most recent results and problems on these subjects and give an overview of their historical development.

Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems

Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems PDF Author: Jean-René Chazottes
Publisher: Springer Science & Business Media
ISBN: 9783540242895
Category : Science
Languages : en
Pages : 380

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Book Description
This book is about the dynamics of coupled map lattices (CML) and of related spatially extended systems. It will be useful to post-graduate students and researchers seeking an overview of the state-of-the-art and of open problems in this area of nonlinear dynamics. The special feature of this book is that it describes the (mathematical) theory of CML and some related systems and their phenomenology, with some examples of CML modeling of concrete systems (from physics and biology). More precisely, the book deals with statistical properties of (weakly) coupled chaotic maps, geometric aspects of (chaotic) CML, monotonic spatially extended systems, and dynamical models of specific biological systems.

Difference Equations and Discrete Dynamical Systems with Applications

Difference Equations and Discrete Dynamical Systems with Applications PDF Author: Martin Bohner
Publisher: Springer Nature
ISBN: 3030355020
Category : Mathematics
Languages : en
Pages : 363

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Book Description
This book presents the proceedings of the 24th International Conference on Difference Equations and Applications, which was held at the Technical University in Dresden, Germany, in May 2018, under the auspices of the International Society of Difference Equations (ISDE). The conference brought together leading researchers working in the respective fields to discuss the latest developments, and to promote international cooperation on the theory and applications of difference equations. This book appeals to researchers and scientists working in the fields of difference equations and discrete dynamical systems and their applications.

Equadiff 2003 - Proceedings Of The International Conference On Differential Equations

Equadiff 2003 - Proceedings Of The International Conference On Differential Equations PDF Author: Freddy Dumortier
Publisher: World Scientific
ISBN: 9814480916
Category : Mathematics
Languages : en
Pages : 1180

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Book Description
This comprehensive volume contains the state of the art on ODE's and PDE's of different nature, functional differential equations, delay equations, and others, mostly from the dynamical systems point of view.A broad range of topics are treated through contributions by leading experts of their fields, presenting the most recent developments. A large variety of techniques are being used, stressing geometric, topological, ergodic and numerical aspects.The scope of the book is wide, ranging from pure mathematics to various applied fields. Examples of the latter are provided by subjects from earth and life sciences, classical mechanics and quantum-mechanics, among others.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

Concepts and Results in Chaotic Dynamics: A Short Course

Concepts and Results in Chaotic Dynamics: A Short Course PDF Author: Pierre Collet
Publisher: Springer Science & Business Media
ISBN: 3540347062
Category : Mathematics
Languages : en
Pages : 238

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Book Description
The study of dynamical systems is a well established field. This book provides a panorama of several aspects of interest to mathematicians and physicists. It collects the material of several courses at the graduate level given by the authors, avoiding detailed proofs in exchange for numerous illustrations and examples. Apart from common subjects in this field, a lot of attention is given to questions of physical measurement and stochastic properties of chaotic dynamical systems.

Nonlinear and Stochastic Climate Dynamics

Nonlinear and Stochastic Climate Dynamics PDF Author: Christian L. E. Franzke
Publisher: Cambridge University Press
ISBN: 1316883213
Category : Science
Languages : en
Pages : 612

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Book Description
It is now widely recognized that the climate system is governed by nonlinear, multi-scale processes, whereby memory effects and stochastic forcing by fast processes, such as weather and convective systems, can induce regime behavior. Motivated by present difficulties in understanding the climate system and to aid the improvement of numerical weather and climate models, this book gathers contributions from mathematics, physics and climate science to highlight the latest developments and current research questions in nonlinear and stochastic climate dynamics. Leading researchers discuss some of the most challenging and exciting areas of research in the mathematical geosciences, such as the theory of tipping points and of extreme events including spatial extremes, climate networks, data assimilation and dynamical systems. This book provides graduate students and researchers with a broad overview of the physical climate system and introduces powerful data analysis and modeling methods for climate scientists and applied mathematicians.

Exploration of a Nonlinear World

Exploration of a Nonlinear World PDF Author: Kung-sik Chan
Publisher: World Scientific
ISBN: 9812836276
Category : Mathematics
Languages : en
Pages : 412

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Book Description
Extensions of Howell Tong's threshold approach to other fields of statistics abound. This volume is dedicated to his 65th birthday and consists of in-depth contributions from leading experts in a variety of fields of statistics, ecology, economics and finance as well as some of Tong's reprints.