000			01918cam a2200301 a 4500
001			12085221
005			20210224151616.0
008			000629s2001 nyua b 001 0 eng
010			_a 00058305
020			_a9788181281838
020			_a9780387951164
082	0	0	_a515.353 PER-L
100	1		_aPerko, Lawrence
245	1	0	_aDifferential equations and dynamical systems / _cLawrence Perko
250			_a3rd ed.
260			_aNew York _bSpringer _c2001
300			_a553 p.
365			_aINR _b595.00
365			_aEU _b69.95.
440		0	_aTexts in applied mathematics ; _v7
500			_aThis textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations.
650		0	_aDifferential equations, Nonlinear.
650		0	_aDifferentiable dynamical systems.
856	4	2	_3Publisher description _uhttp://www.loc.gov/catdir/enhancements/fy0826/00058305-d.html
856	4	1	_3Table of contents only _uhttp://www.loc.gov/catdir/enhancements/fy0826/00058305-t.html
906			_a7 _bcbc _corignew _d1 _eocip _f20 _gy-gencatlg
955			_ato ASCD pc17 06-29-00; jp07 06-30-00 sent to subj; jp99 to SL 07-06-00; jp10 ; to Dewey 07-06-00; aa07 07-07-00; CIP ver. pb04 5-10-01 to BCCD; jp01 05-21-01 c. 2 to BCCD
999			_c8240 _d8240