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Attractors Under Discretisation
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Book Synopsis Attractors Under Discretisation by : Xiaoying Han
Download or read book Attractors Under Discretisation written by Xiaoying Han and published by Springer. This book was released on 2017-08-11 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle points and by Kloeden & Lorenz for attractors. One-step numerical schemes with a constant step size were considered, so the resulting discrete time dynamical system was also autonomous. One of the aims of this book is to present new findings on the discretisation of dissipative nonautonomous dynamical systems that have been obtained in recent years, and in particular to examine the properties of nonautonomous omega limit sets and their approximations by numerical schemes – results that are also of importance for autonomous systems approximated by a numerical scheme with variable time steps, thus by a discrete time nonautonomous dynamical system.
Book Synopsis The Structure of Attractors in Dynamical Systems by : N.G. Markley
Download or read book The Structure of Attractors in Dynamical Systems written by N.G. Markley and published by Springer. This book was released on 2007-01-05 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Coexistence and Persistence of Strange Attractors by : Antonio Pumarino
Download or read book Coexistence and Persistence of Strange Attractors written by Antonio Pumarino and published by Springer. This book was released on 2006-11-13 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although chaotic behaviour had often been observed numerically earlier, the first mathematical proof of the existence, with positive probability (persistence) of strange attractors was given by Benedicks and Carleson for the Henon family, at the beginning of 1990's. Later, Mora and Viana demonstrated that a strange attractor is also persistent in generic one-parameter families of diffeomorphims on a surface which unfolds homoclinic tangency. This book is about the persistence of any number of strange attractors in saddle-focus connections. The coexistence and persistence of any number of strange attractors in a simple three-dimensional scenario are proved, as well as the fact that infinitely many of them exist simultaneously.
Book Synopsis Persistence of Attractors for One-step Discretization of Ordinary Differential Equations by : Lars Grüne
Download or read book Persistence of Attractors for One-step Discretization of Ordinary Differential Equations written by Lars Grüne and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dimensions of Attractors for Discretizations for Partial Differential Equations by : Yin Yan
Download or read book Dimensions of Attractors for Discretizations for Partial Differential Equations written by Yin Yan and published by . This book was released on 1990 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Gallery of Chua Attractors by : Eleonora Bilotta
Download or read book A Gallery of Chua Attractors written by Eleonora Bilotta and published by World Scientific. This book was released on 2008 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos is considered as one of the most important concepts in modern science. It originally appeared only in computer simulation (the famous Lorenz equation of 1963), but this changed with the introduction of Chua''s oscillator (1986) OCo a simple electronic circuit with the ability to generate a vast range of chaotic behaviors. With Chua''s circuit, chaos became a physical phenomenon, readily understood and represented in mathematical language. Yet, even so, it is still difficult for the non-specialist to appreciate the full variety of behaviors that the system can produce.This book aims to bridge the gap. A gallery of nearly 900 OC chaotic attractorsOCO OCo some generated by Chua''s physical circuit, the majority through computer simulation of the circuit and its generalizations OCo are illustrated as 3D color images, time series and fast Fourier transform algorithms. For interested researchers, also presented is the information necessary to replicate the behaviors and images. Finally, how the fractal richness can be plied to artistic ends in generating music and interesting sounds is shown; some examples are included in the DVD-ROM which comes with the book.The contents have also appeared in the International Journal of Bifurcation and Chaos (2007)."
Book Synopsis Coexistence and Persistence of Strange Attractors by : Antonio Pumarino
Download or read book Coexistence and Persistence of Strange Attractors written by Antonio Pumarino and published by . This book was released on 2014-01-15 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Attractors Under Perturbation and Discretization by : Lars Grüne
Download or read book Attractors Under Perturbation and Discretization written by Lars Grüne and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :David N. Cheban Publisher :World Scientific Publishing Company Incorporated ISBN 13 :9789812560285 Total Pages :502 pages Book Rating :4.5/5 (62 download)
Book Synopsis Global Attractors of Non-autonomous Dissipative Dynamical Systems by : David N. Cheban
Download or read book Global Attractors of Non-autonomous Dissipative Dynamical Systems written by David N. Cheban and published by World Scientific Publishing Company Incorporated. This book was released on 2004-01-01 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: First volume in a new series presents an overview of both autonomous and non-autonomous dynamical systems. Chapter topics include the method of Lyapunov functions, triangular maps, pullback attractors under discretization, and upper semi-continuity of attractors.
Book Synopsis On Embeddings and Dimensions of Global Attractors Associated with Dissipative Partial Differential Equations by : Eleonora Pinto de Moura
Download or read book On Embeddings and Dimensions of Global Attractors Associated with Dissipative Partial Differential Equations written by Eleonora Pinto de Moura and published by . This book was released on 2010 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Global Attractor of One Dimension for Discretization of Damped Sine Gordon Equation by : Min Qian
Download or read book Global Attractor of One Dimension for Discretization of Damped Sine Gordon Equation written by Min Qian and published by . This book was released on 1994 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Attractors Under Autonomous and Nonautonomous Perturbations by : Matheus Cheque Bortolan
Download or read book Attractors Under Autonomous and Nonautonomous Perturbations written by Matheus Cheque Bortolan and published by . This book was released on 2020 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive study of how attractors behave under perturbations for both autonomous and non-autonomous problems. Furthermore, the forward asymptotics of non-autonomous dynamical systems is presented here for the first time in a unified manner. When modelling real world phenomena imprecisions are unavoidable. On the other hand, it is paramount that mathematical models reflect the modelled phenomenon, in spite of unimportant neglectable influences discounted by simplifications, small errors introduced by empirical laws or measurements, among others. The authors deal with th.
Book Synopsis New Dynamical Insights on the Global Behavior of Chaotic Attractors by : Timothy Douglas Jones
Download or read book New Dynamical Insights on the Global Behavior of Chaotic Attractors written by Timothy Douglas Jones and published by . This book was released on 2012 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advisor: Robert Gilmore.
Book Synopsis Attraction Rates, Robustness, and Discretization of Attractors by : Lars Grüne
Download or read book Attraction Rates, Robustness, and Discretization of Attractors written by Lars Grüne and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lyapunov Functions and Attractors Under Variable Time-step Discretization by : Peter Eris Kloeden
Download or read book Lyapunov Functions and Attractors Under Variable Time-step Discretization written by Peter Eris Kloeden and published by . This book was released on 1995 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discretization, Inflation and Perturbation of Attractors by : Lars Grüne
Download or read book Discretization, Inflation and Perturbation of Attractors written by Lars Grüne and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonautonomous Systems, Cocycle Attractors and Variable Time Step Discretization by : Peter E. Kloeden
Download or read book Nonautonomous Systems, Cocycle Attractors and Variable Time Step Discretization written by Peter E. Kloeden and published by . This book was released on 1996 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
