000 03878nam a22005175i 4500
001 978-1-4020-5456-3
003 DE-He213
005 20251006084521.0
007 cr nn 008mamaa
008 100301s2007 ne | s |||| 0|eng d
020 _a9781402054563
020 _a99781402054563
024 7 _a10.1007/978-1-4020-5456-3
_2doi
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, 700 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 _aThis is a graduate-level monographic textbook devoted to understanding, prediction and control of high-dimensional chaotic and attractor systems of real life. The objective of the book is to provide the serious reader with a serious scientific tool that will enable the actual performance of competitive research in high-dimensional chaotic and attractor dynamics. The book has nine Chapters. The first Chapter gives a textbook-like introduction into the low-dimensional attractors and chaos. This Chapter has an inspirational character, similar to other books on nonlinear dynamics and deterministic chaos. The second Chapter deals with Smale's topological transformations of stretching, squeezing and folding (of the system's phase-space), developed for the purpose of chaos theory. The third Chapter is devoted to Poincaré's 3-body problem and basic techniques of chaos control, mostly of Ott-Grebogi-Yorke type. The fourth Chapter is a review of both Landau's and topological phase transition theory, as well as Haken's synergetics. The fifth Chapter deals with phase synchronization in high-dimensional chaotic systems. The sixth Chapter presents high-tech Josephson junctions, the basic components for the future quantum computers. The seventh Chapter deals with fractals and fractional Hamiltonian dynamics. The 8th Chapter gives a review of modern techniques for dealing with turbulence, ranging from the parameter-space of the Lorenz attractor to the Lie symmetries. The last, 9th, Chapter attempts to give a brief on the cutting edge techniques of the high-dimensional nonlinear dynamics (including geometries, gauges and solitons, culminating into the chaos field theory).
650 0 _aPHYSICS.
650 0 _aSYSTEMS THEORY.
650 0 _aMATHEMATICAL PHYSICS.
650 0 _aENGINEERING MATHEMATICS.
650 0 _aENGINEERING.
650 0 _aBIOMEDICAL ENGINEERING.
650 1 4 _aPHYSICS.
650 2 4 _aCOMPLEXITY.
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
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-PHA
942 _2ddc
_cER
999 _c61283
_d61283