High-Dimensional Chaotic and Attractor Systems : A Comprehensive Introduction. 1st ed. 2007

種類:

電子ブック

責任表示:

by Vladimir G. Ivancevic, Tijana T. Ivancevic

出版情報:

Dordrecht : Springer Netherlands : Imprint: Springer, 2007

著者名:

• Ivancevic, Vladimir G.
• Ivancevic, Tijana T.
• SpringerLink (Online service)

シリーズ名:

Intelligent Systems, Control and Automation: Science and Engineering ; 32

ISBN:

9781402054563 [1402054564]    

注記:

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.
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 d

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