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vls/2603nrwcece.visuallibrary.netvdTopics in multiple time scale dynamicsWorkshop Topics in Multiple Time Scale Dynamics, November 27-December 2, 2022, Banff International Research Station, Banff, Alberta, CanadaBIRS Workshop "Topics on Multiple Time Scale Dynamics 2022 Banff, AlbertaautEngel, Maximilian1988-HerausgeberedtJardón Kojakhmetov, Hildeberto1985-HerausgeberedtSoresina, Cinzia1986-Herausgeberedttextconference publicationTextKonferenzschriftxxuXD-USProvidence, Rhode IslandAmerican Mathematical Society[2024]© 20242024monographicengprintxxii, 209 Seiten : Illustrationenohne Hilfsmittel zu benutzenBandThis volume contains the proceedings of the BIRS Workshop "Topics in Multiple Time Scale Dynamics," held from November 27– December 2, 2022, at the Banff International Research Station, Banff, Alberta, Canada. The area of multiple-scale dynamics is rapidly evolving, marked by significant theoretical breakthroughs and practical applications. The workshop facilitated a convergence of experts from various sub-disciplines, encompassing topics like blow-up techniques for ordinary differential equations (ODEs), singular perturbation theory for stochastic differential equations (SDE), homogenization and averaging, slow-fast maps, numerical approaches, and network dynamics, including their applications in neuroscience and climate science. This volume provides a wide-ranging perspective on the current challenging subjects being explored in the field, including themes such as novel approaches to blowing-up and canard theory in unique contexts, complex multi-scale challenges in PDEs, and the role of stochasticity in multiple-scale systems.Maximilian Engel, Hildeberto Jardón-Kojakhmetov, Cinzia Soresina, editorsIncludes bibliographical referencesDynamicsMathematical modelsDifferential equationsAsymptotic theoryMultivariate analysisSingular perturbations (Mathematics)OscillationsMathematical modelsOrdinary differential equations -- Asymptotic theory -- Multiple scale methodsOrdinary differential equations -- Asymptotic theory -- Singular perturbations, general theoryOrdinary differential equations -- Asymptotic theory -- Canard solutionsOrdinary differential equations -- Qualitative theory -- Relaxation oscillationsPartial differential equations -- Qualitative properties of solutions -- Singular perturbationsNumerical analysis -- Ordinary differential equations -- Singularly perturbed problemsPartial differential equations -- Qualitative properties of solutions -- Pattern formationDynamical systems and ergodic theory -- Applications -- Dynamical systems in biologyPartial differential equations -- Parabolic equations and systems -- Reaction-diffusion equationsDynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Invariant manifold theory515/.3934E1334E1534E1734C2635B2565L1135B3637N2535K5737D1031.4430.2097814704732732023055741153635619399376906652506441HT031466090Topics in multiple time scale dynamicsBIRS Workshop "Topics on Multiple Time Scale Dynamics (2022 : Banff, Alberta)Providence, Rhode IslandAmerican Mathematical Society20241 Online-Ressource (xxii, 232 Seiten)Online-Ausgabe9781470476847Contemporary mathematics806(DE-605)HT001236816https://zbmath.org/792709449HBZ_PADrda26050720260507210712.02606249ger https://ce.visuallibrary.net//domainresource/static/graphics/connectors/viewerLogo.gif http://193.30.112.129:83/F/?func=find-c&ccl_term=ICS%3D2606249 https://ce.visuallibrary.net/id/1393286 https://ce.visuallibrary.net/i3f/v20/1393286/manifest https://ce.visuallibrary.net/proto_ftsearch/1393286