High-Dimensional Chaotic and Attractor Systems : A Comprehensive Introduction

If we try to describe real world in mathematical terms, we will see that real life is very often a high dimensional chaos. Sometimes, by pushing hard , we manage to make order out of it; yet sometimes, we need simply to accept our life as it is. To be able to still live successfully, we need tounder...

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Auteurs principaux: Ivancevic, Vladimir G., Ivancevic, Tijana T. (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado: Dordrecht : Springer Netherlands [20..].
Cham : Springer Nature
Series:Intelligent Systems, Control and Automation: Science and Engineering 32
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Edition sous un autre format:• High-dimensional chaotic and attractor systems, a comprehensive introduction, by Vladimir G. Ivancevic and Tijana T. Ivancevic, Dordrecht, Springer, 2007, 1 vol. (XV-700 p.), International series on intelligent systems, control and automation, science and engineering, 978-1-402-05455-6
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505 1 |a to Attractors and Chaos Smale Horseshoes and Homoclinic Dynamics 3 Body Problem and Chaos Control Phase Transitions and Synergetics Phase Synchronization in Chaotic Systems Josephson Junctions and Quantum Engineering Fractals and Fractional Dynamics Turbulence Geometry, Solitons and Chaos Field Theory 
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520 |a If we try to describe real world in mathematical terms, we will see that real life is very often a high dimensional chaos. Sometimes, by pushing hard , we manage to make order out of it; yet sometimes, we need simply to accept our life as it is. To be able to still live successfully, we need tounderstand, predict, and ultimately control this high dimensional chaotic dynamics of life. This is the main theme of the present book. In our previous book, Geometrical - namics of Complex Systems, Vol. 31 in Springer book series Microprocessor Based and Intelligent Systems Engineering, we developed the most powerful mathematical machinery to deal with high dimensional nonlinear dynamics. In the present text, we consider the extreme cases of nonlinear dynamics, the high dimensional chaotic and other attractor systems. Although they might look as examples of complete disorder they still represent control systems, with their inputs, outputs, states, feedbacks, and stability. Today, we can see a number of nice books devoted to nonlinear dyn- ics and chaos theory (see our reference list). However, all these books are only undergraduate, introductory texts, that are concerned exclusively with oversimpli?ed low dimensional chaos, thus providing only an inspiration for the readers to actually throw themselves into the real life chaotic dynamics 
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