000			01579nam a2200181la 4500
005			20250808114651.0
008			250808s9999 xx 000 0 und d
020			_a9780898715972
082			_a515.35 _bMOR
100			_aMortell, Michael P.
245		0	_aSingular Perturbations and Hysteresis _cMortell, Michael P.; O'Malley, Robert E.; Pokrovskii, Alexei; Sobolev, Vladimir
260			_bSIAM _c2005
300			_a356 pages
520			_aThis book unifies many important recent developments in the analysis of singular perturbation and hysteresis phenomena in an accessible and comprehensive fashion. In April 2002 at University College Cork in Ireland, the editors conducted a workshop to provide a forum for experts to share their interests and knowledge. For this book, the editors have compiled research from those practitioners in areas such as reacting systems, semiconductor lasers, shock phenomena in economic modeling, and fluid mechanics, all with an emphasis on hysteresis and singular perturbations. A basic introduction to hysteresis and singular perturbation theory is included, with simple examples from both physics and mathematics. Later chapters address: applications of hysteresis to economics; various aspects of the asymptotic theory of singularly perturbed systems; typical problems of the asymptotic theory of contrast structures; and the geometrical approach to an investigation of models with singular perturbations and hysteresis.
650			_aMathematics
700	1		_aO'Malley, Robert E. _aPokrovskii, Alexei _aSobolev, Vladimir
942			_cENGLISH
999			_c579308 _d579308