Dynamics and Bifurcation of Patterns in Dissipative Systems

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Release : 2004
Genre : Science
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Book Rating : 466/5 ( reviews)

Dynamics and Bifurcation of Patterns in Dissipative Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamics and Bifurcation of Patterns in Dissipative Systems write by Gerhard Dangelmayr. This book was released on 2004. Dynamics and Bifurcation of Patterns in Dissipative Systems available in PDF, EPUB and Kindle. Contains a collection of expository papers and advanced research articles which provide an overview the state of the art. Topics include new approaches to the mathematical characterization of spatiotemporal complexity as well as analysis of patterns in a variety of applied fields.

Dynamics And Bifurcation Of Patterns In Dissipative Systems

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Release : 2004-11-17
Genre : Science
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Book Rating : 099/5 ( reviews)

Dynamics And Bifurcation Of Patterns In Dissipative Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamics And Bifurcation Of Patterns In Dissipative Systems write by Iuliana Oprea. This book was released on 2004-11-17. Dynamics And Bifurcation Of Patterns In Dissipative Systems available in PDF, EPUB and Kindle. 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.

Pattern Formation and Dynamics in Nonequilibrium Systems

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Release : 2009-07-16
Genre : Mathematics
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Book Rating : 505/5 ( reviews)

Pattern Formation and Dynamics in Nonequilibrium Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pattern Formation and Dynamics in Nonequilibrium Systems write by Michael Cross. This book was released on 2009-07-16. Pattern Formation and Dynamics in Nonequilibrium Systems available in PDF, EPUB and Kindle. An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.

Dynamics of Nonlinear Waves in Dissipative Systems Reduction, Bifurcation and Stability

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Release : 1996-08-01
Genre : Mathematics
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Book Rating : 297/5 ( reviews)

Dynamics of Nonlinear Waves in Dissipative Systems Reduction, Bifurcation and Stability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamics of Nonlinear Waves in Dissipative Systems Reduction, Bifurcation and Stability write by G Dangelmayr. This book was released on 1996-08-01. Dynamics of Nonlinear Waves in Dissipative Systems Reduction, Bifurcation and Stability available in PDF, EPUB and Kindle. 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. .

Patterns and Interfaces in Dissipative Dynamics

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Release : 2006-07-07
Genre : Science
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Book Rating : 312/5 ( reviews)

Patterns and Interfaces in Dissipative Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Patterns and Interfaces in Dissipative Dynamics write by L.M. Pismen. This book was released on 2006-07-07. Patterns and Interfaces in Dissipative Dynamics available in PDF, EPUB and Kindle. 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.