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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 n...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ivancevic, Vladimir G. (Autor), Ivancevic, Tijana T. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Intelligent Systems, Control and Automation: Science and Engineering, 32
Temas:
Acceso en línea:Texto Completo

MARC

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490 1 |a Intelligent Systems, Control and Automation: Science and Engineering,  |x 2213-8994 ;  |v 32 
505 0 |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. 
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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