Author: Volker Matthias Gundlach
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Symbolic Dynamics, Shadowing and Gibbs States for Some Spatio-temporal Chaotic Systems
Author: Volker Matthias Gundlach
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Spatio-temporal chaos
Author: Volker Matthias Gundlach
Publisher:
ISBN:
Category :
Languages : de
Pages : 33
Book Description
Publisher:
ISBN:
Category :
Languages : de
Pages : 33
Book Description
Spatio-temporal chaos
Author: Volker Matthias Gundlach
Publisher:
ISBN:
Category :
Languages : de
Pages : 11
Book Description
Publisher:
ISBN:
Category :
Languages : de
Pages : 11
Book Description
Chaotic Numerics
Author: Peter E. Kloeden
Publisher: American Mathematical Soc.
ISBN: 0821851845
Category : Mathematics
Languages : en
Pages : 290
Book Description
Much of what is known about specific dynamical systems is obtained from numerical experiments. Although the discretization process usually has no significant effect on the results for simple, well-behaved dynamics, acute sensitivity to changes in initial conditions is a hallmark of chaotic behavior. How confident can one be that the numerical dynamics reflects that of the original system? Do numerically calculated trajectories always shadow a true one? What role does numerical analysis play in the study of dynamical systems? And conversely, can advances in dynamical systems provide new insights into numerical algorithms? These and related issues were the focus of the workshop on Chaotic Numerics, held at Deakin University in Geelong, Australia, in July 1993. The contributions to this book are based on lectures presented during the workshop and provide a broad overview of this area of research.
Publisher: American Mathematical Soc.
ISBN: 0821851845
Category : Mathematics
Languages : en
Pages : 290
Book Description
Much of what is known about specific dynamical systems is obtained from numerical experiments. Although the discretization process usually has no significant effect on the results for simple, well-behaved dynamics, acute sensitivity to changes in initial conditions is a hallmark of chaotic behavior. How confident can one be that the numerical dynamics reflects that of the original system? Do numerically calculated trajectories always shadow a true one? What role does numerical analysis play in the study of dynamical systems? And conversely, can advances in dynamical systems provide new insights into numerical algorithms? These and related issues were the focus of the workshop on Chaotic Numerics, held at Deakin University in Geelong, Australia, in July 1993. The contributions to this book are based on lectures presented during the workshop and provide a broad overview of this area of research.
Gibbs States for Bundle Systems with an Application to Spatio-temporal Chaos
Nonlinearity
Author:
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 516
Book Description
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 516
Book Description
Chaos And Forecasting - Proceedings Of The Royal Society Discussion Meeting
Author: Howell A M Tong
Publisher: World Scientific
ISBN: 9814549762
Category :
Languages : en
Pages : 358
Book Description
It is now generally recognised that very simple dynamical systems can produce apparently random behaviour. In the last couple of years, attention has turned to focus on the flip side of this coin: random-looking time series (or random-looking patterns in space) may indeed be the result of very complicated processes or “real noise”, but they may equally well be produced by some very simple mechanism (a low-dimensional attractor). In either case, a long-term prediction will be possible only in probabilistic terms. However, in the very short term, random systems will still be unpredictable but low-dimensional chaotic ones may be predictable (appearances to the contrary). The Royal Society held a two-day discussion meeting on topics covering diverse fields, including biology, economics, geophysics, meteorology, statistics, epidemiology, earthquake science and many others. Each topic was covered by a leading expert in the field. The meeting dealt with different basic approaches to the problem of chaos and forecasting, and covered applications to nonlinear forecasting of both artificially-generated time series and real data from context in the above-mentioned diverse fields. This book marks a rather special and rare occasion on which prominent scientists from different areas converge on the same theme. It forms an informative introduction to the science of chaos, with special reference to real data.
Publisher: World Scientific
ISBN: 9814549762
Category :
Languages : en
Pages : 358
Book Description
It is now generally recognised that very simple dynamical systems can produce apparently random behaviour. In the last couple of years, attention has turned to focus on the flip side of this coin: random-looking time series (or random-looking patterns in space) may indeed be the result of very complicated processes or “real noise”, but they may equally well be produced by some very simple mechanism (a low-dimensional attractor). In either case, a long-term prediction will be possible only in probabilistic terms. However, in the very short term, random systems will still be unpredictable but low-dimensional chaotic ones may be predictable (appearances to the contrary). The Royal Society held a two-day discussion meeting on topics covering diverse fields, including biology, economics, geophysics, meteorology, statistics, epidemiology, earthquake science and many others. Each topic was covered by a leading expert in the field. The meeting dealt with different basic approaches to the problem of chaos and forecasting, and covered applications to nonlinear forecasting of both artificially-generated time series and real data from context in the above-mentioned diverse fields. This book marks a rather special and rare occasion on which prominent scientists from different areas converge on the same theme. It forms an informative introduction to the science of chaos, with special reference to real data.
Physics Briefs
Elementary Symbolic Dynamics and Chaos in Dissipative Systems
Author: Bai-Lin Hao
Publisher: World Scientific Publishing
ISBN: 9789971506827
Category : Mathematics
Languages : en
Pages : 460
Book Description
Publisher: World Scientific Publishing
ISBN: 9789971506827
Category : Mathematics
Languages : en
Pages : 460
Book Description
From Finite to Infinite Dimensional Dynamical Systems
Author: James Robinson
Publisher: Springer Science & Business Media
ISBN: 9780792369752
Category : Mathematics
Languages : en
Pages : 240
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.
Publisher: Springer Science & Business Media
ISBN: 9780792369752
Category : Mathematics
Languages : en
Pages : 240
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.