Quasi-Periodic Motions in Families of Dynamical Systems, Hendrik W. Broer; George B. Huitema; Mikhail B. Se

Автор: Miklos Farkas
Название: Periodic Motions
ISBN: 1441928383 ISBN-13(EAN): 9781441928382
Издательство: Springer
Рейтинг:
Цена: 11313.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: "The task is done; the Maker rests. And lo The engine turns. A million years shall flow, Ere round its axle shall the wheel run slow And a new cog be needed .... " Mad8.ch: The Tragedy of Man J.C.W. Horne's translation In this book I tried to sum up the facts and results I considered most important concerning periodic solutions of ordinary differential equations (ODEs) produced by this century from Henri Poincare up to the youngest mathematician appearing in the list of references. I have included also some results of my own that did not find their way into monographs in the past. I have done research in this direction for more than 25 years and have given graduate courses about some of the topics covered for many years at the Budapest University of Technology and also at the Universidad Central de Venezuela in Caracas. I hope that people interested in differential equations and applications may use this experience. Some may say that periodic solutions of ODEs has been a closed chapter of mathematics for some time.

Автор: Han-lin Chen
Название: Complex Harmonic Splines, Periodic Quasi-Wavelets
ISBN: 9401058431 ISBN-13(EAN): 9789401058438
Издательство: Springer
Рейтинг:
Цена: 6986.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book, written by our distinguished colleague and friend, Professor Han-Lin Chen of the Institute of Mathematics, Academia Sinica, Beijing, presents, for the first time in book form, his extensive work on complex harmonic splines with applications to wavelet analysis and the numerical solution of boundary integral equations.

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: 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: Valentin Afraimovich; Jos? Ant?nio Tenreiro Machad
Название: Complex Motions and Chaos in Nonlinear Systems
ISBN: 3319287621 ISBN-13(EAN): 9783319287621
Издательство: Springer
Рейтинг:
Цена: 13974.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Detection of the Quasi-Periodic Processes in Experimental Measurements: Reduction to an Ideal Experiment.- Functional Differential Equations with Piecewise Constant Argument.- Singular Phenomena in Aerodynamics and the Bifurcation Analysis.- Plasma Flow Control: Progress and Problems.- Steady State Solution for a Rayleigh's Piston in a Temperature Gradient.- An Inspiration to Craft Networks Which Can Achieve Chaotic States.- Finite Element Simulations of the Nonlinear Fluid-Membrane Interactions Using a Modified Characteristic-Based Split (CBS) Scheme.- Modelling and Predicting Chaos in Local Area Network Traffic.- Centrifugal Compressor Blade Crack Classification by Using Squared Envelope and Experimental Verification.- Numerical Methods on Model Reduction and Lagrangian Coherent Structure in Fluid Dynamics.- Numerical Method for Analysis of Nonlinear Fluid-structure Coupling Effects on the Aerodynamic Performance of Airfoil at Low Reynolds Number.- On periodic motions in a time-delayed, quadratic nonlinear oscillator with periodic excitation.

Автор: Han-lin Chen
Название: Complex Harmonic Splines, Periodic Quasi-Wavelets
ISBN: 0792361377 ISBN-13(EAN): 9780792361374
Издательство: Springer
Рейтинг:
Цена: 12577.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book, written by our distinguished colleague and friend, Professor Han-Lin Chen of the Institute of Mathematics, Academia Sinica, Beijing, presents, for the first time in book form, his extensive work on complex harmonic splines with applications to wavelet analysis and the numerical solution of boundary integral equations.

Автор: Wanda Szemplinska-Stupnicka; Gerard Iooss; Francis
Название: Chaotic Motions in Nonlinear Dynamical Systems
ISBN: 3211820620 ISBN-13(EAN): 9783211820629
Издательство: Springer
Рейтинг:
Цена: 14365.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Discoveries of chaotic, unpredictable behaviour in physical deterministic systems has brought about new analytic and experimental techniques in dynamics. This book presents both viewpoints: that of the analyst and of the experimenter.

Автор: Sergio Bittanti; Patrizio Colaneri
Название: Periodic Systems
ISBN: 1849968055 ISBN-13(EAN): 9781849968058
Издательство: Springer
Рейтинг:
Цена: 22201.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book offers a comprehensive treatment of the theory of periodic systems, including the problems of filtering and control. It covers an array of topics, presenting an overview of the field and focusing on discrete-time signals and systems.

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

Автор: Luo
Название: Periodic Flows to Chaos in Time-delay Systems
ISBN: 331942663X ISBN-13(EAN): 9783319426631
Издательство: Springer
Рейтинг:
Цена: 16070.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book for the first time examines periodic motions to chaos in time-delay systems, which exist extensively in engineering. For a long time, the stability of time-delay systems at equilibrium has been of great interest from the Lyapunov theory-based methods, where one cannot achieve the ideal results. Thus, time-delay discretization in time-delay systems was used for the stability of these systems. In this volume, Dr. Luo presents an accurate method based on the finite Fourier series to determine periodic motions in nonlinear time-delay systems. The stability and bifurcation of periodic motions are determined by the time-delayed system of coefficients in the Fourier series and the method for nonlinear time-delay systems is equivalent to the Laplace transformation method for linear time-delay systems.

Автор: A. Ambrosetti; V. Coti-Zelati
Название: Periodic Solutions of Singular Lagrangian Systems
ISBN: 0817636552 ISBN-13(EAN): 9780817636555
Издательство: Springer
Рейтинг:
Цена: 14673.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: A summary and synthesis of recent research demonstrating that variational methods can be used to successfully handle systems with singular potential, the Lagrangian systems. The classic cases of the Kepler problem and the N-body problem are used as specific examples.

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.