000 03579nam a22005415i 4500
001 978-3-642-27305-6
003 DE-He213
005 20140220083307.0
007 cr nn 008mamaa
008 120402s2012 gw | s |||| 0|eng d
020 _a9783642273056
_9978-3-642-27305-6
024 7 _a10.1007/978-3-642-27305-6
_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 _aBountis, Tassos.
_eauthor.
245 1 0 _aComplex Hamiltonian Dynamics
_h[electronic resource] /
_cby Tassos Bountis, Haris Skokos.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2012.
300 _aXXIII, 255 p. 76 illus., 14 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Series in Synergetics,
_x0172-7389 ;
_v10
505 0 _aHamiltonian Systems of Few Degrees of Freedom -- Equilibrium Points, Periodic Orbits and Local Stability -- Efficient Indicators of Stable and Chaotic Motion -- FPU Recurrences and the Transition from Weak to Strong Chaos -- Localization and Diffusion in Nonlinear 1-Dimensional Lattices -- The Statistical Mechanics of Quasi-Stationary States -- Conclusion, Open Problems and Future Outlook.
520 _aThis book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion. The role of nonlinear normal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena and distinguish order from strongly and weakly chaotic regimes. The emerging hierarchy of complex structures in such regimes gives rise to particularly long-lived patterns and phenomena called quasi-stationary states, which are explored in particular in the concrete setting of one-dimensional Hamiltonian lattices and physical applications in condensed matter systems.  The self-contained and pedagogical approach is blended with a unique balance between mathematical rigor, physics insights and concrete applications. End of chapter exercises and (more demanding) research oriented  problems provide many opportunities to deepen the reader’s insights into specific aspects of the subject matter.   Addressing a broad audience of graduate students, theoretical physicists and applied mathematicians, this text combines the benefits of a reference work with those of a self-study guide for newcomers to the field.
650 0 _aPhysics.
650 0 _aMathematics.
650 0 _aMathematical physics.
650 0 _aMechanics.
650 0 _aEngineering.
650 1 4 _aPhysics.
650 2 4 _aStatistical Physics, Dynamical Systems and Complexity.
650 2 4 _aComplexity.
650 2 4 _aInformation and Communication, Circuits.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aMechanics.
700 1 _aSkokos, Haris.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642273049
830 0 _aSpringer Series in Synergetics,
_x0172-7389 ;
_v10
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-27305-6
912 _aZDB-2-PHA
999 _c102556
_d102556