03852nam 22007095 450 99646650550331620200702174710.03-540-44971-X10.1007/BFb0104102(CKB)1000000000437273(SSID)ssj0000325480(PQKBManifestationID)12069573(PQKBTitleCode)TC0000325480(PQKBWorkID)10323991(PQKB)11660567(DE-He213)978-3-540-44971-3(MiAaPQ)EBC6297073(MiAaPQ)EBC5591224(Au-PeEL)EBL5591224(OCoLC)1066188018(PPN)155164457(EXLCZ)99100000000043727320121227d2000 u| 0engurnn|008mamaatxtccrOscillatory Integrals and Phenomena Beyond all Algebraic Orders[electronic resource] with Applications to Homoclinic Orbits in Reversible Systems /by Eric Lombardi1st ed. 2000.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2000.1 online resource (XVIII, 418 p.) Lecture Notes in Mathematics,0075-8434 ;1741Bibliographic Level Mode of Issuance: Monograph3-540-67785-2 Includes bibliographical references (pages [405]-410) and index."Exponential tools" for evaluating oscillatory integrals -- Resonances of reversible vector fields -- Analytic description of periodic orbits bifurcating from a pair of simple purely imaginary eigenvalues -- Constructive floquet theory for periodic matrices near a constant one -- Inversion of affine equations around reversible homoclinic connections -- The 02+i? resonance -- The 02+i? resonance in infinite dimensions. Application to water waves -- The (i?0)2i?1 resonance.During the last two decades, in several branches of science (water waves, crystal growth, travelling waves in one dimensional lattices, splitting of separatrices,...) different problems appeared in which the key point is the computation of exponentially small terms. This self-contained monograph gives new and rigorous mathematical tools which enable a systematic study of such problems. Starting with elementary illuminating examples, the book contains (i) new asymptotical tools for obtaining exponentially small equivalents of oscillatory integrals involving solutions of nonlinear differential equations; (ii) implementation of these tools for solving old open problems of bifurcation theory such as existence of homoclinic connections near resonances in reversible systems.Lecture Notes in Mathematics,0075-8434 ;1741Mathematical analysisAnalysis (Mathematics)Statistical physicsDynamical systemsAnalysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Complex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P33000Statistical Physics and Dynamical Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P19090Mathematical analysis.Analysis (Mathematics).Statistical physics.Dynamical systems.Analysis.Complex Systems.Statistical Physics and Dynamical Systems.515.35Lombardi Ericauthttp://id.loc.gov/vocabulary/relators/aut63016MiAaPQMiAaPQMiAaPQBOOK996466505503316Oscillatory integrals and phenomena beyond all algebraic orders78810UNISA01073cam a2200265Ia 4500991001208659707536030605s2003 enka b 001 0 eng d0750309024b13336861-39ule_instDip.to Ingegneria dell'Innovazioneeng666Barsoum, M. W.622679Fundamentals of ceramics /Michel W. BarsoumBristol, UK ;Philadelphia, PA :Institute of Physics Pub.,2003xvii, 603 p. :ill. ;24 cmSeries in materials science and engineeringPrevious ed.: New York : McGraw Hill, c1997Includes bibliographical references and indexCeramic engineering.b1333686121-09-0608-09-05991001208659707536LE026 666 D BAR 01.01200312026000024578le026Prof. Licciulli / BibliotecapE53.72-n- 12020.i1412527412-09-05Fundamentals of ceramics1092637UNISALENTOle02630-06-05ma -engenk00