Attractors, Bifurcations, and Chaos

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Release : 2013-04-17
Genre : Business & Economics
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Book Rating : 948/5 ( reviews)

Attractors, Bifurcations, and Chaos - 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 Attractors, Bifurcations, and Chaos write by Tönu Puu. This book was released on 2013-04-17. Attractors, Bifurcations, and Chaos available in PDF, EPUB and Kindle. Attractors, Bifurcations, & Chaos - now in its second edition - begins with an introduction to mathematical methods in modern nonlinear dynamics and deals with differential equations. Phenomena such as bifurcations and deterministic chaos are given considerable emphasis, both in the methodological part, and in the second part, containing various applications in economics and in regional science. Coexistence of attractors and the multiplicity of development paths in nonlinear systems are central topics. The applications focus on issues such as business cycles, oligopoly, interregional trade dynamics, and economic development theory.

Attractors, Bifurcations, & Chaos

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Release : 2013-03-19
Genre : Mathematics
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Book Rating : 991/5 ( reviews)

Attractors, Bifurcations, & Chaos - 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 Attractors, Bifurcations, & Chaos write by Tönu Puu. This book was released on 2013-03-19. Attractors, Bifurcations, & Chaos available in PDF, EPUB and Kindle. Attractors, Bifurcations, & Chaos - now in its second edition - begins with an introduction to mathematical methods in modern nonlinear dynamics and deals with differential equations. Phenomena such as bifurcations and deterministic chaos are given considerable emphasis, both in the methodological part, and in the second part, containing various applications in economics and in regional science. Coexistence of attractors and the multiplicity of development paths in nonlinear systems are central topics. The applications focus on issues such as business cycles, oligopoly, interregional trade dynamics, and economic development theory.

The Lorenz Equations

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Release : 2012-12-06
Genre : Science
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Book Rating : 670/5 ( reviews)

The Lorenz Equations - 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 The Lorenz Equations write by Colin Sparrow. This book was released on 2012-12-06. The Lorenz Equations available in PDF, EPUB and Kindle. 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.

Nonlinear Phenomena in Power Electronics

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Release : 2001-07-16
Genre : Mathematics
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Book Rating : /5 ( reviews)

Nonlinear Phenomena in Power Electronics - 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 Nonlinear Phenomena in Power Electronics write by Soumitro Banerjee. This book was released on 2001-07-16. Nonlinear Phenomena in Power Electronics available in PDF, EPUB and Kindle. Brings the knowledge of 24 experts in this maturing field out from the narrow confines of academic circles, and makes it accessible to graduate students and power electronics professionals alike. * Provides practicing engineers with the knowledge to predict power requirement behavior. * The insights gained from this all-inclusive compilation will ultimately lead to better design methodologies.

Chaos, Bifurcations And Fractals Around Us: A Brief Introduction

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Release : 2003-11-11
Genre : Technology & Engineering
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Book Rating : 63X/5 ( reviews)

Chaos, Bifurcations And Fractals Around Us: A Brief Introduction - 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 Chaos, Bifurcations And Fractals Around Us: A Brief Introduction write by Wanda Szemplinska-stupnicka. This book was released on 2003-11-11. Chaos, Bifurcations And Fractals Around Us: A Brief Introduction available in PDF, EPUB and Kindle. During the last twenty years, a large number of books on nonlinear chaotic dynamics in deterministic dynamical systems have appeared. These academic tomes are intended for graduate students and require a deep knowledge of comprehensive, advanced mathematics. There is a need for a book that is accessible to general readers, a book that makes it possible to get a good deal of knowledge about complex chaotic phenomena in nonlinear oscillators without deep mathematical study.Chaos, Bifurcations and Fractals Around Us: A Brief Introduction fills that gap. It is a very short monograph that, owing to geometric interpretation complete with computer color graphics, makes it easy to understand even very complex advanced concepts of chaotic dynamics. This invaluable publication is also addressed to lecturers in engineering departments who want to include selected nonlinear problems in full time courses on general mechanics, vibrations or physics so as to encourage their students to conduct further study.