RENDICONTI DEL SEMINARIO MATEMATICO

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DIRETTORECATTERINA DAGNINOCOMMISSIONE SCIENTIFICA (2006–08)C. Dagnino (Direttore), R. Monaco (Vicedirettore), G. Allasia, S. Benenti, A. Collino,F. Fagnani, G. Grillo, C. Massaza, F. Previale, G. ZampieriCOMITATO DIRETTIVO (2006–08)S. Console, S. Garbiero, G. Rossi, G. Tedeschi, D. ZambellaProprietà letteraria riservataAutorizzazione del Tribunale di Torino N. 2962 del 6.VI.1980Direttore Responsabile: CATTERINA DAGNINOQUESTO FASCICOLO È STAMPATO CON IL CONTRIBUTO DI:UNIVERSITÀ DEGLI STUDI DI TORINOPOLITECNICO DI TORINO
PrefaceOn September 19-21, 2005, the Department of Mathematics of the University ofTurin guested a “WORKSHOP ON DYNAMICS”. We invited six among the speakersto write a survey for this special issue of the Journal. Song Jiang, Huseyin Koçak,Jean Mawhin, James Yorke and Fabio Zanolin wrote a paper with coauthors, moreoverMatteo Franca’s survey is based on the seminar delivered by Russell Johnson at theWorkshop.Some of the articles present new results in a more general framework, so theyalso have the character of a survey even if they are research papers.The following topics in Dynamics are studied: Explosion in dimensions 1–3,Periodic solutions of difference equations, Compressible viscous flows, A Dynamicalapproach to the p-Laplace equation, Shadowing in ODEs, Periodic points and chaosfor nonlinear Hill equations.We are grateful to the authors and to all the other speakers of the Workshop fortheir enthusiastic participation.Hisao Fujita Yashima, Gaetano Zampieri
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48 J. Fan - S. JiangNext, we show t
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50 J. Fan - S. Jiangwhich implies u
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52 J. Fan - S. Jiang[42] ROUSSET F.
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54 M. Francawhere F(u,|x|) = ∫ u0
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56 M. FrancaWe start from the speci
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58 M. FrancaY-POXSPẋ=0Figure 1: A
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60 M. Franca0 ≤ u ≤ U and r ≥
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62 M. Francaspeaking, when f is pos
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64 M. Franca0, then, from an elemen
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66 M. FrancaAnalogously assume that
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68 M. FrancaCorollary 3 we easily g
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70 M. Francar > 0. Now we can state
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72 M. Francadynamical system of the
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74 M. FrancaW u (τ)ON8XN 9ẋ=0E(
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78 M. FrancaNote that with this app
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80 M. Francawith slow decay.Moreove
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84 M. Franca0. Furthermore assume t
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86 M. Francah. We denote by f (v, s
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88 M. Franca[32] KABEYA Y., YANAGID
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Periodic points and chaotic dynamic
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RENDICONTI DEL SEMINARIO MATEMATICO

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