000			01897cam a22002415i 4500
001			21580831
005			20250602152432.0
008			170901s2017 gw |||| o |||| 0|eng
020			_a9783319651835
040			_aCSL _cCSL
084			_aB7: 355 Q7 NBHM _qCSL
245	1	0	_aShadowing and hyperbolicity
264		1	_aCham : _bSpringer International Publishing : _c2017.
300			_axiv, 218 p. : _c24 cm
490	1		_aLecture Notes in Mathematics ; _v2193
520			_aFocusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical systems, this book surveys recent progress in establishing relations between shadowing and such basic notions from the classical theory of structural stability as hyperbolicity and transversality. Special attention is given to the study of "quantitative" shadowing properties, such as Lipschitz shadowing (it is shown that this property is equivalent to structural stability both for diffeomorphisms and smooth flows), and to the passage to robust shadowing (which is also equivalent to structural stability in the case of diffeomorphisms, while the situation becomes more complicated in the case of flows). Relations between the shadowing property of diffeomorphisms on their chain transitive sets and the hyperbolicity of such sets are also described. The book will allow young researchers in the field of dynamical systems to gain a better understanding of new ideas in the global qualitative theory. It will also be of interest to specialists in dynamical systems and their applications.
650		0	_aDynamics. _9453975
650		0	_aErgodic theory. _9811393
650	1	4	_aDynamical Systems and Ergodic Theory. _9811394
700	1		_aSakai, Kazuhiro. _eco-editor _9811395
830		0	_aLecture Notes in Mathematics ; _v2193 _9811396
942			_2CC _cTEXL _hB7: 355 Q7 _n0
999			_c1431301 _d1431301