Bifurcations and Symmetry in Dissipative Dynamics
Author | : Philip Conway Hirschberg |
Publisher | : |
Total Pages | : 542 |
Release | : 1994 |
Genre | : Dissertations, Academic |
ISBN | : |
Download Bifurcations And Symmetry In Dissipative Dynamics full books in PDF, epub, and Kindle. Read online free Bifurcations And Symmetry In Dissipative Dynamics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author | : Philip Conway Hirschberg |
Publisher | : |
Total Pages | : 542 |
Release | : 1994 |
Genre | : Dissertations, Academic |
ISBN | : |
Author | : Iuliana Oprea |
Publisher | : World Scientific |
Total Pages | : 405 |
Release | : 2004-11-17 |
Genre | : Science |
ISBN | : 9814482099 |
Understanding the spontaneous formation and dynamics of spatiotemporal patterns in dissipative nonequilibrium systems is one of the major challenges in nonlinear science. This collection of expository papers and advanced research articles, written by leading experts, provides an overview of the state of the art. The topics include new approaches to the mathematical characterization of spatiotemporal complexity, with special emphasis on the role of symmetry, as well as analysis and experiments of patterns in a remarkable variety of applied fields such as magnetoconvection, liquid crystals, granular media, Faraday waves, multiscale biological patterns, visual hallucinations, and biological pacemakers. The unitary presentations, guiding the reader from basic fundamental concepts to the most recent research results on each of the themes, make the book suitable for a wide audience.
Author | : Michael J. Field |
Publisher | : CRC Press |
Total Pages | : 168 |
Release | : 2020-02-17 |
Genre | : Mathematics |
ISBN | : 1000657752 |
This book is an expanded version of a Master Class on the symmetric bifurcation theory of differential equations given by the author at the University of Twente in 1995. The notes cover a wide range of recent results in the subject, and focus on the dynamics that can appear in the generic bifurcation theory of symmetric differential equations. This text covers a wide range of current results in the subject of bifurcations, dynamics and symmetry. The style and format of the original lectures has largely been maintained and the notes include over 70 exercises.
Author | : Martin Golubitsky |
Publisher | : Birkhäuser |
Total Pages | : 338 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 3034881673 |
The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS
Author | : Bai-Lin Hao |
Publisher | : World Scientific |
Total Pages | : 488 |
Release | : 1989 |
Genre | : Mathematics |
ISBN | : 9789971506988 |
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.
Author | : L.M. Pismen |
Publisher | : Springer Science & Business Media |
Total Pages | : 383 |
Release | : 2006-07-07 |
Genre | : Science |
ISBN | : 3540304312 |
Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium occurs in a variety of settings in nature and technology, and has applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book explores the forefront of current research, describing in-depth the analytical methods that elucidate the complex evolution of nonlinear dissipative systems.
Author | : G Dangelmayr |
Publisher | : CRC Press |
Total Pages | : 292 |
Release | : 1996-08-01 |
Genre | : Mathematics |
ISBN | : 9780582229297 |
The mathematical description of complex spatiotemporal behaviour observed in dissipative continuous systems is a major challenge for modern research in applied mathematics. While the behaviour of low-dimensional systems, governed by the dynamics of a finite number of modes is well understood, systems with large or unbounded spatial domains show intrinsic infinite-dimensional behaviour --not a priori accessible to the methods of finite dimensionaldynamical systems. The purpose of the four contributions in this book is to present some recent and active lines of research in evolution equations posed in large or unbounded domains. One of the most prominent features of these systems is the propagation of various types of patterns in the form of waves, such as travelling and standing waves and pulses and fronts. Different approaches to studying these kinds of phenomena are discussed in the book. A major theme is the reduction of an original evolution equation in the form of a partial differential equation system to a simpler system of equations, either a system of ordinary differential equation or a canonical system of PDEs. The study of the reduced equations provides insight into the bifurcations from simple to more complicated solutions and their stabilities. .
Author | : Len Pismen |
Publisher | : Springer Nature |
Total Pages | : 402 |
Release | : 2023-06-12 |
Genre | : Science |
ISBN | : 303129579X |
Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium occurs in a variety of settings in nature and technology, and has applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book explores the forefront of current research, describing in-depth the analytical methods that elucidate the complex evolution of nonlinear dissipative systems.
Author | : F.Eugene Yates |
Publisher | : Springer Science & Business Media |
Total Pages | : 658 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461308836 |
Technological systems become organized by commands from outside, as when human intentions lead to the building of structures or machines. But many nat ural systems become structured by their own internal processes: these are the self organizing systems, and the emergence of order within them is a complex phe nomenon that intrigues scientists from all disciplines. Unfortunately, complexity is ill-defined. Global explanatory constructs, such as cybernetics or general sys tems theory, which were intended to cope with complexity, produced instead a grandiosity that has now, mercifully, run its course and died. Most of us have become wary of proposals for an "integrated, systems approach" to complex matters; yet we must come to grips with complexity some how. Now is a good time to reexamine complex systems to determine whether or not various scientific specialties can discover common principles or properties in them. If they do, then a fresh, multidisciplinary attack on the difficulties would be a valid scientific task. Believing that complexity is a proper scientific issue, and that self-organizing systems are the foremost example, R. Tomovic, Z. Damjanovic, and I arranged a conference (August 26-September 1, 1979) in Dubrovnik, Yugoslavia, to address self-organizing systems. We invited 30 participants from seven countries. Included were biologists, geologists, physicists, chemists, mathematicians, bio physicists, and control engineers. Participants were asked not to bring manu scripts, but, rather, to present positions on an assigned topic. Any writing would be done after the conference, when the writers could benefit from their experi ences there.