Periodic Solutions of Singular Lagrangian Systems, A. Ambrosetti; V. Coti-Zelati
Автор: Wells, D.a. Название: Schaum`s outline of lagrangian dynamics ISBN: 0070692580 ISBN-13(EAN): 9780070692589 Издательство: McGraw-Hill Рейтинг: Цена: 5146.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics
Автор: A. Ambrosetti; V. Coti-Zelati Название: Periodic Solutions of Singular Lagrangian Systems ISBN: 1461267056 ISBN-13(EAN): 9781461267058 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Thismonographdealswiththeexistenceofperiodicmotionsof Lagrangiansystemswith ndegreesoffreedom ij + V'(q) =0, where Visasingularpotential.Aprototypeofsuchaproblem, evenifitisnottheonlyphysicallyinterestingone, istheKepler problem .. q 0 q+yqr= . This, jointlywiththemoregeneralN-bodyproblem, hasalways beentheobjectofagreatdealofresearch.Mostofthoseresults arebasedonperturbationmethods, andmakeuseofthespecific featuresoftheKeplerpotential. OurapproachismoreonthelinesofNonlinearFunctional Analysis: ourmainpurposeistogiveafunctionalframefor systemswithsingularpotentials, includingtheKeplerandthe N-bodyproblemasparticularcases.PreciselyweuseCritical PointTheorytoobtainexistenceresults, qualitativeinnature, whichholdtrueforbroadclassesofpotentials.Thishighlights thatthevariationalmethods, whichhavebeenemployedtoob- tainimportantadvancesinthestudyofregularHamiltonian systems, canbesuccessfallyusedtohandlesingularpotentials aswell. Theresearchonthistopicisstillinevolution, andtherefore theresultswewillpresentarenottobeintendedasthefinal ones. Indeedamajorpurposeofourdiscussionistopresent methodsandtoolswhichhavebeenusedinstudyingsuchprob- lems. Vlll PREFACE Partofthematerialofthisvolumehasbeenpresentedina seriesoflecturesgivenbytheauthorsatSISSA, Trieste, whom wewouldliketothankfortheirhospitalityandsupport. We wishalsotothankUgoBessi, PaoloCaldiroli, FabioGiannoni, LouisJeanjean, LorenzoPisani, EnricoSerra, KazunakaTanaka, EnzoVitillaroforhelpfulsuggestions. May26,1993 Notation n 1.For x, yE IR, x. ydenotestheEuclideanScalarproduct, and IxltheEuclideannorm. 2. meas(A)denotestheLebesguemeasureofthesubset Aof n IR - 3.Wedenoteby ST = 0, T]/{a, T}theunitarycirclepara- metrizedby t E 0, T].Wewillalsowrite SI= ST=I. n 1 n 4.Wewillwrite sn = {xE IR +: Ixl =I}andn = IR \{O}. n 5.Wedenoteby LP( O, T], IR ),1 p +00, theLebesgue spaces, equippedwiththestandardnorm lIulip. l n l n 6. H (ST, IR )denotestheSobolevspaceof u E H,2(0, T; IR ) suchthat u(O) = u(T).Thenormin HIwillbedenoted by lIull2 = lIull + lIull - 7.Wedenoteby(-1-)and11-11respectivelythescalarproduct andthenormoftheHilbertspace E. 8.For uE E, EHilbertorBanachspace, wedenotetheball ofcenter uandradiusrby B(u, r) = {vE E: lIu- vii r}.Wewillalsowrite B = B(O, r). r 1 1 9.WesetA (n) = {uE H (St, n)}. k 10.For VE C (1Rxil, IR)wedenoteby V'(t, x)thegradient of Vwithrespectto x. l 11.Given f E C (M, IR), MHilbertmanifold, welet r = {uEM: f(u) a}, f-l(a, b) = {uE E: a f(u) b}. x NOTATION 12.Given f E C1(M, JR), MHilbertmanifold, wewilldenote by Zthesetofcriticalpointsof fon Mandby Zctheset Z U f-l(c, c). 13.Givenasequence UnE E, EHilbertspace, by Un ---"" Uwe willmeanthatthesequence Unconvergesweaklyto u. 14.With (E)wewilldenotethesetoflinearandcontinuous operatorson E. 15.With Ck''''(A, JR)wewilldenotethesetoffunctions ffrom AtoJR, ktimesdifferentiablewhosek-derivativeisHolder continuousofexponent0: . Main Assumptions Wecollecthere, forthereader'sconvenience, themainassump- tionsonthepotential Vusedthroughoutthebook. (VO) VEC1(lRXO, lR), V(t+T, x)=V(t, X) V(t, x)ElRXO, (VI) V(t, x)
Автор: Marco Mazzucchelli Название: Critical Point Theory for Lagrangian Systems ISBN: 3034807821 ISBN-13(EAN): 9783034807821 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Here is a modern account of the application of critical point theory, specifically Morse theory, to Lagrangian dynamics, with particular emphasis on the existence and multiplicity of periodic orbits of non-autonomous and time-periodic systems.
Автор: Lee, Taeyoung Leok, Melvin Mcclamroch, N. Harris Название: Global formulations of lagrangian and hamiltonian dynamics on manifolds ISBN: 3319569511 ISBN-13(EAN): 9783319569512 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold.
Описание: This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from continuum mechanics.
Автор: Eduard Reithmeier Название: Periodic Solutions of Nonlinear Dynamical Systems ISBN: 3540545123 ISBN-13(EAN): 9783540545125 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Addressing mathematicians and engineers working with nonlinear dynamics, this monograph describes the multiple shooting method, which is employed in numerically computing limit cycles. The theory is supported by numerous examples, mainly from the field of nonlinear vibrations.
Автор: P.H. Rabinowitz; A. Ambrosetti; I. Ekeland; E.J. Z Название: Periodic Solutions of Hamiltonian Systems and Related Topics ISBN: 9027725535 ISBN-13(EAN): 9789027725530 Издательство: Springer Рейтинг: Цена: 28929.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Research Workshop, Il Ciocco, Italy, October 13-17, 1986
Описание: Chapter 1. Introduction.- Chapter 2. Positive Periodic Solutions of Nonlinear Functional Differential Equations with Parameter λ.- Chapter 3. Multiple Periodic Solutions of a System of Functional Differential Equations.- Chapter 4. Multiple Periodic Solutions of Nonlinear Functional Differential Equations.- Chapter 5. Asymptotic Behavior of Periodic Solutions of Differential Equations of First Order.- Bibliography.
Автор: Bernold Fiedler Название: Global Bifurcation of Periodic Solutions with Symmetry ISBN: 3540192344 ISBN-13(EAN): 9783540192343 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? This book probes these questions.
Автор: Otto Vejvoda; L. Herrmann; V. Lovicar; M. Sova; I. Название: Partial differential equations: time-periodic solutions ISBN: 9024727723 ISBN-13(EAN): 9789024727728 Издательство: Springer Рейтинг: Цена: 34799.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Liyi Dai Название: Singular Control Systems ISBN: 3540507248 ISBN-13(EAN): 9783540507246 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph is sums up the development of singular system theory and provides the control circle with a systematic theory of the system.
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