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Geometric studies on the global asymptotic behaviour of dissipative dynamical systems PDF

494 Pages·1993·16.1 MB·English
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’ 7 V ♦ V' * ' • : v i . » • • • 1 • V . • - 1 : > i * >i * 11A \ ‘ \ . * »•••» ■ ■ ■ ;;a,: • ■ v ■ ; ; ■ . .. ' , ■ ., ' ! ‘ ■■■■'■ ■■ ' ■ .: ■ • , v ■ • ■■'■ ■ , • :• v. ; . ' : ' S&v . >. • : : : : :v, s ‘ : : . . • ; . v . • :> ■ : •. iiaMM m ts ■ . .. .■. ■. .. ; V •. •• : . . . ' \; : :\ . . ' ... ' . . ' ■ . , • •> . ■ • - ■ • ■ • *.. • .x .v V V ; -.i. ■ - • • . • •• ■ \V • • ' - T. .. • • • ‘ • • • . ; \s • * V ■ k ■ *' v, V •• ■, . • • •* V ; . : . • ■ -:,v ■ v ■ • . • ■ r. 1 , • ■■■;■ • ■ . . . •• • • . • • • •. • ... • • •1 v - •i.. ■ V\*V '■ \ • ■ , • ■ ' 1- : ' •• ■■■.. ■ ■■ ■ • • :'!v '• . : j> ; . \ . •• . }•■■; .•%■ : • •; .■ v ■ ■ . .. ■■ •• ..•' vv vv ' '.. '' n} .v ■ 1 1 ' II 11 111 SIS I ® mil ■ . , • • . . • ■. •■■■• , .... . ■■ . v , .. :••• ., • ■ ■ " V. . . •' :A ■ • - ' r . •.•••;•..'. ■' ,; : .. \:.K■.’ '• * ... * ■;.^■ ' • ■' ■ ' : ' ■ ' • ■ ■ ' ’ , ; '. ■ ' • ' .'; ,,:V ,-a- y . • cti .• ■■■;'. : ■ :■ ■■■. • ■ ; , ‘'. . • .-v • v- ■ ■■ . . ./ . v-;>y - • ; ,,y: ^ ■■■ ■■ • ' • ; S; V; ■ ■ ■ • ■■■": :• ■ " V. . - V 1 , . «>•/ ; - v >. ■ ' ■ '< r r./i . !\, .f 4 r •< .* '.. j ,r ■ - rr ■; V ? f., f.' ;^/vf'.' i -St'."; : .v/i1 ,1.: i r ■ / ■■ if.•/ 7, v. W-rV* V■■ • ‘ T T-f • '' ' • f ; / ’ , .zj. r t ft st so , ■■' I.J ,) , .• /,»/', , . ,* . .. i • .' : ‘ ; . V •- •] ’• . ■ V;'-v'-AAv ■ : . • • •. " •• : • ;? ■■ ■: ; ■■. ■ . .' \ ' ' • ■ • ; • ■. . - @X UBM$ wwramaffli Digitized by the Internet Archive in 2019 with funding from University of Alberta Libraries https://archive.org/details/Li1993 UNIVERSITY OF ALBERTA RELEASE FORM NAME OF THE AUTHOR: MICHAEL YI LI TITLE OF THESIS: GEOMETRIC STUDIES ON THE GLOBAL ASYMPTOTIC BEHAVIOUR OF DISSIPATIVE DYNAMICAL SYSTEMS DEGREE: DOCTOR OF PHILOSOPHY YEAR THIS DEGREE GRANTED: 1993 Permission is hereby granted to the University of Alberta Library to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. The author reserves all other publication and other rights in association with the copyright in the thesis, and except as hereinbefore provided neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatever without the author’s prior written permission. UNIVERSITY OF ALBERTA GEOMETRIC STUDIES ON THE GLOBAL ASYMPTOTIC BEHAVIOUR OF DISSIPATIVE DYNAMICAL SYSTEMS BY MICHAEL YI LI A thesis submitted to the Faculty of Graduate Studies and Research in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY. DEPARTMENT OF MATHEMATICS Edmonton, Alberta FALL 1993

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