The Lorenz Equations
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The Lorenz Equations
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Author : Colin Sparrow
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Lorenz Equations written by Colin Sparrow and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The equations which we are going to study in these notes were first presented in 1963 by E. N. Lorenz. They define a three-dimensional system of ordinary differential equations that depends on three real positive parameters. As we vary the parameters, we change the behaviour of the flow determined by the equations. For some parameter values, numerically computed solutions of the equations oscillate, apparently forever, in the pseudo-random way we now call "chaotic"; this is the main reason for the immense amount of interest generated by the equations in the eighteen years since Lorenz first presented them. In addition, there are some parameter values for which we see "preturbulence", a phenomenon in which trajectories oscillate chaotically for long periods of time before finally settling down to stable stationary or stable periodic behaviour, others in which we see "intermittent chaos", where trajectories alternate be tween chaotic and apparently stable periodic behaviours, and yet others in which we see "noisy periodicity", where trajectories appear chaotic though they stay very close to a non-stable periodic orbit. Though the Lorenz equations were not much studied in the years be tween 1963 and 1975, the number of man, woman, and computer hours spent on them in recent years - since they came to the general attention of mathematicians and other researchers - must be truly immense.
The Lorenz Equations
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Author : Colin Sparrow
language : en
Publisher:
Release Date : 1982-12-01
The Lorenz Equations written by Colin Sparrow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-12-01 with categories.
Rigorous Models For The Lorenz Equations
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Author :
language : sv
Publisher:
Release Date : 1996
Rigorous Models For The Lorenz Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Chaos And Strange Attractors Of The Lorenz Equations
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Author : Nurul Hidayah Salim
language : en
Publisher:
Release Date : 2014
Chaos And Strange Attractors Of The Lorenz Equations written by Nurul Hidayah Salim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Lorenz equations categories.
The Lorenz Attractor Exists
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Author : Warwick Tucker
language : en
Publisher:
Release Date : 1998
The Lorenz Attractor Exists written by Warwick Tucker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Lorenz equations categories.
From Nonlinear Dynamics To Trigonometry S Magic
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Author : Belkacem Meziane
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2021-12-21
From Nonlinear Dynamics To Trigonometry S Magic written by Belkacem Meziane and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-21 with Science categories.
The book develops new methodologies to unravel the mathematics of nonlinear dynamics using simple trigonometry. It offers a complete tutorial for neophytes, as well as experts, in nonlinear dynamics, as it examines, using an original and simple approach, the fundamental example of Chaos, the Lorenz-Haken equations, with high order trigonometry. The book will appeal to physicists, mathematicians, and graduate and undergraduate students alike.
The Complex Lorenz Equations And Orbit Following Methods
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Author : Michael Forward
language : en
Publisher:
Release Date : 1989
The Complex Lorenz Equations And Orbit Following Methods written by Michael Forward and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Numerical Computing With Matlab
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Author : Cleve B. Moler
language : en
Publisher: SIAM
Release Date : 2010-08-12
Numerical Computing With Matlab written by Cleve B. Moler and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-12 with Computers categories.
A revised textbook for introductory courses in numerical methods, MATLAB and technical computing, which emphasises the use of mathematical software.
The Essence Of Chaos
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Author : Flavio Lorenzelli
language : en
Publisher: CRC Press
Release Date : 2003-09-02
The Essence Of Chaos written by Flavio Lorenzelli and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-02 with Science categories.
The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field. Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals. As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?" is published for the first time.
The Theory Of Chaotic Attractors
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Author : Brian R. Hunt
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-08
The Theory Of Chaotic Attractors written by Brian R. Hunt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-08 with Mathematics categories.
The editors felt that the time was right for a book on an important topic, the history and development of the notions of chaotic attractors and their "natu ral" invariant measures. We wanted to bring together a coherent collection of readable, interesting, outstanding papers for detailed study and comparison. We hope that this book will allow serious graduate students to hold seminars to study how the research in this field developed. Limitation of space forced us painfully to exclude many excellent, relevant papers, and the resulting choice reflects the interests of the editors. Since James Alan Yorke was born August 3, 1941, we chose to have this book commemorate his sixtieth birthday, honoring his research in this field. The editors are four of his collaborators. We would particularly like to thank Achi Dosanjh (senior editor math ematics), Elizabeth Young (assistant editor mathematics), Joel Ariaratnam (mathematics editorial), and Yong-Soon Hwang (book production editor) from Springer Verlag in New York for their efforts in publishing this book.