000			02922nam a22004935i 4500
001			978-3-0348-0657-2
003			DE-He213
005			20140220082506.0
007			cr nn 008mamaa
008			131030s2014 sz | s |||| 0|eng d
020			_a9783034806572 _9978-3-0348-0657-2
024	7		_a10.1007/978-3-0348-0657-2 _2doi
050		4	_aQA372
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.352 _223
100	1		_aLlibre, Jaume. _eauthor.
245	1	0	_aIntroduction to the Qualitative Theory of Differential Systems _h[electronic resource] : _bPlanar, Symmetric and Continuous Piecewise Linear Systems / _cby Jaume Llibre, Antonio E. Teruel.
264		1	_aBasel : _bSpringer Basel : _bImprint: Springer, _c2014.
300			_aXIII, 289 p. 84 illus., 1 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		_aBirkhäuser Advanced Texts Basler Lehrbücher, _x1019-6242
505	0		_aPreface -- 1 Introduction and statement of the main results -- 2 Basic elements of the qualitative theory of ODEs -- 3 Fundamental systems -- 4 Return maps -- 5 Phase portraits -- Index -- Bibliography.  .
520			_aThe book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. These differential systems are symmetric with respect to the origin of coordinates. This class of systems, driven by concrete applications, is of interest in engineering, in particular in control theory and the design of electric circuits. By studying these particular differential systems, we will introduce the basic tools of the qualitative theory of ordinary differential equations, which allow us to describe the global dynamics of these systems including the dynamics at infinity. The behavior of their solutions, their parametric stability or instability and their bifurcations are described. The book is highly suitable for a first course in the qualitative theory of differential equations or dynamical systems, particularly for engineers, mathematicians, and physicists.
650		0	_aMathematics.
650		0	_aDifferential Equations.
650		0	_aDifferential equations, partial.
650		0	_aSystems theory.
650	1	4	_aMathematics.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aSystems Theory, Control.
650	2	4	_aPartial Differential Equations.
700	1		_aTeruel, Antonio E. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034806565
830		0	_aBirkhäuser Advanced Texts Basler Lehrbücher, _x1019-6242
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-0348-0657-2
912			_aZDB-2-SMA
999			_c92445 _d92445