000			03636nam a22005657a 4500
001			sulb-eb0021063
003			BD-SySUS
005			20160413122129.0
007			cr nn 008mamaa
008			120930s2013 xxu| s |||| 0|eng d
020			_a9780817683702 _9978-0-8176-8370-2
024	7		_a10.1007/978-0-8176-8370-2 _2doi
050		4	_aQA401-425
050		4	_aQC19.2-20.85
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.15 _223
100	1		_aCordani, Bruno. _eauthor.
245	1	0	_aGeography of Order and Chaos in Mechanics _h[electronic resource] : _bInvestigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools / _cby Bruno Cordani.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Birkhäuser, _c2013.
300			_aXVIII, 334 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Mathematical Physics ; _v64
505	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 The KEPLER Program -- 8 Some Perturbed Keplerian Systems -- 9 The Multi-Body Gravitational Problem -- Bibliography -- Index.
520			_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 systems—including for example the hydrogen atom or the solar system, with the associated Arnold web—through 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		0	_aMathematics.
650		0	_aPartial differential equations.
650		0	_aDifferential geometry.
650		0	_aMathematical physics.
650		0	_aPhysics.
650		0	_aStatistical physics.
650	1	4	_aMathematics.
650	2	4	_aMathematical Physics.
650	2	4	_aDifferential Geometry.
650	2	4	_aNonlinear Dynamics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aNumerical and Computational Physics.
650	2	4	_aMathematical Methods in Physics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817683696
830		0	_aProgress in Mathematical Physics ; _v64
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-8370-2
912			_aZDB-2-SMA
942			_2Dewey Decimal Classification _ceBooks
999			_c43155 _d43155