Chaotic Behaviour of Deterministic Dissipative Systems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Chaotic Behaviour of Deterministic Dissipative Systems PDF full book. Access full book title Chaotic Behaviour of Deterministic Dissipative Systems by Milos Marek. Download full books in PDF and EPUB format.
Author: Milos Marek
Publisher: Cambridge University Press
ISBN: 9780521438308
Category : Science
Languages : en
Pages : 384
Get Book Here
Book Description
This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.
Author: Milos Marek
Publisher: Cambridge University Press
ISBN: 9780521438308
Category : Science
Languages : en
Pages : 384
Get Book Here
Book Description
This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.
Author: Gérard Iooss
Publisher: North-Holland
ISBN:
Category : Science
Languages : en
Pages : 752
Get Book Here
Book Description
Author: S. S. E. H. Elnashaie
Publisher: CRC Press
ISBN: 9782884490788
Category : Science
Languages : en
Pages : 676
Get Book Here
Book Description
Author: Sergio Elaskar
Publisher: Springer
ISBN: 3319478370
Category : Technology & Engineering
Languages : en
Pages : 208
Get Book Here
Book Description
One of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in one-dimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data. As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittency type, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases of non standard intermittencies are included in the same frame work. This methodology is extended to evaluate the noisy reinjection probability density function (NRPD), the noisy probability of the laminar length and the noisy characteristic relation. This is an important difference with respect to the classical approach based on the Fokker-Plank equation or Renormalization Group theory, where the noise effect was usually considered just on the local Poincaré map. Finally, in Chapter 9, a new scheme to evaluate the RPD function using the Perron-Frobenius operator is developed. Along the book examples of applications are described, which have shown very good agreement with numerical computations.
Author: Heinz Georg Schuster
Publisher: Jacaranda
ISBN:
Category : Science
Languages : en
Pages : 304
Get Book Here
Book Description
Author: Eryk Infeld
Publisher: Cambridge University Press
ISBN: 9780521582018
Category : Mathematics
Languages : en
Pages : 358
Get Book Here
Book Description
The physics and mathematics of nonlinear dynamics, chaotic and complex systems constitute some of the most fascinating developments of late twentieth century science. It turns out that chaotic bahaviour can be understood, and even utilized, to a far greater degree than had been suspected. Surprisingly, universal constants have been discovered. The implications have changed our understanding of important phenomena in physics, biology, chemistry, economics, medicine and numerous other fields of human endeavor. In this book, two dozen scientists and mathematicians who were deeply involved in the "nonlinear revolution" cover most of the basic aspects of the field.
Author: M Lakshmanan
Publisher: World Scientific
ISBN: 9814500917
Category : Science
Languages : en
Pages : 339
Get Book Here
Book Description
This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits. Recent exciting developments in chaos research are also discussed, such as the control and synchronization of chaos and possible technological applications.
Author: Max-Olivier Hongler
Publisher: Springer Science & Business Media
ISBN: 3540581219
Category : Science
Languages : en
Pages : 92
Get Book Here
Book Description
Inspired by the general configuration characteristics of automatic production lines, the author discusses the modelisation of important sectors of a factory. Typical topics such as parts feeders, part orienting devices, insertion mechanisms and buffered flows are analysed using random evolution models and non-linear dynamical systems theory.
Author:
Publisher: Academic Press
ISBN: 008092445X
Category : Science
Languages : en
Pages : 505
Get Book Here
Book Description
Dissipative Structure and Weak Turbulence provides an understanding of the emergence and evolution of structures in macroscopic systems. This book discusses the emergence of dissipative structures. Organized into 10 chapters, this book begins with an overview of the stability of a fluid layer with potentially unstable density stratification in the field of gravity. This text then explains the theoretical description of the dynamics of a given system at a formal level. Other chapters consider several examples of how such simplified models can be derived, complicating the picture progressively to account for other phenomena. This book discusses as well the theory and experiments on plain Rayleigh–Bénard convection by setting first the theoretical frame and deriving the analytical solution of the marginal stability problem. The final chapter deals with building a bridge between chaos as studied in weakly confined systems and more advanced turbulence in the most conventional sense. This book is a valuable resource for physicists.
Author: Bai-Lin Hao
Publisher: World Scientific
ISBN: 9789971506988
Category : Mathematics
Languages : en
Pages : 488
Get Book Here
Book Description
This book 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 various characteristics of the attractors, and written from the view-point of practical applications without going into formal mathematical rigour. The author used elementary mathematics and calculus, and relied on physical intuition whenever possible. Substantial attention is paid to numerical techniques in the study of chaos. Part of the book is based on the publications of Chinese researchers, including those of the author's collaborators.
