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001 978-1-4020-5456-3
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020 _a9781402054563
_9978-1-4020-5456-3
024 7 _a10.1007/978-1-4020-5456-3
_2doi
050 4 _aQC174.7-175.36
072 7 _aPHS
_2bicssc
072 7 _aPHDT
_2bicssc
072 7 _aSCI055000
_2bisacsh
082 0 4 _a621
_223
100 1 _aIvancevic, Vladimir G.
_eauthor.
245 1 0 _aHigh-Dimensional Chaotic and Attractor Systems
_h[electronic resource] :
_bA Comprehensive Introduction /
_cby Vladimir G. Ivancevic, Tijana T. Ivancevic.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2007.
300 _aXV, 697 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aIntelligent Systems, Control and Automation: Science and Engineering ;
_v32
505 0 _ato 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 _aIf 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.
650 0 _aPhysics.
650 0 _aSystem theory.
650 0 _aStatistical physics.
650 0 _aDynamical systems.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aBiomedical engineering.
650 1 4 _aPhysics.
650 2 4 _aStatistical Physics, Dynamical Systems and Complexity.
650 2 4 _aSystems Theory, Control.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aBiomedical Engineering.
700 1 _aIvancevic, Tijana T.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781402054556
830 0 _aIntelligent Systems, Control and Automation: Science and Engineering ;
_v32
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4020-5456-3
912 _aZDB-2-PHA
950 _aPhysics and Astronomy (Springer-11651)
999 _c507847
_d507847