High-Dimensional Chaotic and Attractor Systems : A Comprehensive Introduction /
By: Ivancevic, Vladimir G [author.].
Contributor(s): Ivancevic, Tijana T [author.] | SpringerLink (Online service).
Material type:
BookSeries: Intelligent Systems, Control and Automation: Science and Engineering: 32Publisher: Dordrecht : Springer Netherlands, 2007.Description: XV, 697 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781402054563.Subject(s): Physics | System theory | Statistical physics | Dynamical systems | Applied mathematics | Engineering mathematics | Biomedical engineering | Physics | Statistical Physics, Dynamical Systems and Complexity | Systems Theory, Control | Mathematical Methods in Physics | Appl.Mathematics/Computational Methods of Engineering | Biomedical EngineeringDDC classification: 621 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Available | EBK8134 |
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 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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