000			03512nam a22004935i 4500
001			978-0-387-09724-4
003			DE-He213
005			20250710083925.0
007			cr nn 008mamaa
008			100301s2009 xxu| s |||| 0|eng d
020			_a9780387097244 _a99780387097244
024	7		_a10.1007/978-0-387-09724-4 _2doi
082	0	4	_a515.39 _223
082	0	4	_a515.48 _223
100	1		_aMeyer, Kenneth. _eauthor.
245	1	0	_aIntroduction to Hamiltonian Dynamical Systems and the N-Body Problem _h[recurso electrónico] / _cby Kenneth Meyer, Glen Hall, Dan Offin.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aApplied Mathematical Sciences, _x0066-5452 ; _v90
505	0		_aHamiltonian Systems -- Equations of Celestial Mechanics -- Linear Hamiltonian Systems -- Topics in Linear Theory -- Exterior Algebra and Differential Forms -- Symplectic Transformations -- Special Coordinates -- Geometric Theory -- Continuation of Solutions -- Normal Forms -- Bifurcations of Periodic Orbits -- Variational Techniques -- Stability and KAM Theory -- Twist Maps and Invariant Circle.
520			_aThis text grew out of graduate level courses in mathematics, engineering and physics given at several universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. Topics covered include a detailed discussion of linear Hamiltonian systems, an introduction to variational calculus and the Maslov index, the basics of the symplectic group, an introduction to reduction, applications of Poincaré's continuation to periodic solutions, the use of normal forms, applications of fixed point theorems and KAM theory. There is a special chapter devoted to finding symmetric periodic solutions by calculus of variations methods. The main examples treated in this text are the N-body problem and various specialized problems like the restricted three-body problem. The theory of the N-body problem is used to illustrate the general theory. Some of the topics covered are the classical integrals and reduction, central configurations, the existence of periodic solutions by continuation and variational methods, stability and instability of the Lagrange triangular point. Ken Meyer is an emeritus professor at the University of Cincinnati, Glen Hall is an associate professor at Boston University, and Dan Offin is a professor at Queen's University.
650		0	_aMATHEMATICS.
650		0	_aGLOBAL ANALYSIS (MATHEMATICS).
650		0	_aDIFFERENTIABLE DYNAMICAL SYSTEMS.
650		0	_aMATHEMATICAL PHYSICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aDYNAMICAL SYSTEMS AND ERGODIC THEORY.
650	2	4	_aMATHEMATICAL AND COMPUTATIONAL PHYSICS.
650	2	4	_aANALYSIS.
700	1		_aHall, Glen. _eauthor.
700	1		_aOffin, Dan. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387097237
830		0	_aApplied Mathematical Sciences, _x0066-5452 ; _v90
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-09724-4 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56044 _d56044