000 03668nam a22005415i 4500
003 DE-He213
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008 120930s2013 xxu| s |||| 0|eng d
020 6 4 _a9780817683702
_9978-0-8176-8370-2
024 8 7 _a10.1007/978-0-8176-8370-2
_2doi
050 8 4 _aQA401-425
050 8 4 _aQC19.2-20.85
072 8 7 _aPHU
_2bicssc
072 8 7 _aSCI040000
_2bisacsh
082 _a530.15
_223
100 8 1 _aCordani, Bruno.
_eauthor.
_933423
245 9 7 _aGeography of Order and Chaos in Mechanics
_h[electronic resource] :
_bInvestigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools /
_cby Bruno Cordani.
001 000047989
300 6 4 _aXVIII, 334 p.
_bonline resource.
490 8 1 _aProgress in Mathematical Physics ;
_v64
505 8 0 _aPreface -- List of Figures -- 1 Introductory Survey -- 2 Analytical Mechanics and Integrable Systems -- 3 Perturbation Theory -- 4 Numerical Tools I: ODE Integration -- 5 Numerical Tools II: Detecting Order, Chaos, and Resonances -- 6 The Kepler Problem -- 7 TheKEPLER Program -- 8 Some Perturbed Keplerian Systems -- 9 The Multi-Body Gravitational Problem -- Bibliography -- Index.
520 6 4 _aThis original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systemsincluding for example the hydrogen atom or the solar system, with the associated Arnold webthrough modern tools such as the frequency-modified fourier transform, wavelets, and the frequency-modulation indicator. Meanwhile, it draws heavily on the more standard KAM and Nekhoroshev theorems. Geography of Order and Chaos in Mechanics contains many figures that illuminate its concepts in novel ways, but perhaps its most useful feature is its inclusion of software to reproduce the various numerical experiments. The graphical user interfaces of five supplied MATLAB programs allows readers without any knowledge of computer programming to visualize and experiment with the distribution of order, chaos and resonances in various Hamiltonian systems. This monograph will be a valuable resource for professional researchers and certain advanced undergraduate students in mathematics and physics, but mostly will be an exceptional reference for Ph.D. students with an interest in perturbation theory.
650 8 0 _aMathematics.
_98571
650 8 0 _aDifferential equations, partial.
_99614
650 8 0 _aGlobal differential geometry.
_99530
650 8 0 _aMathematical physics.
_99251
650 _aMathematics.
_98571
650 _aMathematical Physics.
_99251
650 _aDifferential Geometry.
_99532
650 _aNonlinear Dynamics.
_933424
650 _aPartial Differential Equations.
_99616
650 _aNumerical and Computational Physics.
_933425
650 _aMathematical Methods in Physics.
_99252
710 8 2 _aSpringerLink (Online service)
_933426
773 8 0 _tSpringer eBooks
776 _iPrinted edition:
_z9780817683696
830 8 0 _aProgress in Mathematical Physics ;
_v64
_933427
856 _uhttp://dx.doi.org/10.1007/978-0-8176-8370-2
_zde clik aquí para ver el libro electrónico
264 8 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Birkhuser,
_c2013.
336 6 4 _atext
_btxt
_2rdacontent
337 6 4 _acomputer
_bc
_2rdamedia
338 6 4 _aonline resource
_bcr
_2rdacarrier
347 6 4 _atext file
_bPDF
_2rda
516 6 4 _aZDB-2-SMA
999 _c47718
_d47718
942 _c05