Digest of the Non Linear Science Network, Volume 08, Number 04 March 1, 2008 Editor: Angel Jorba Topics: Advanced Course on Taylor Methods and Computer Assisted Proofs Chaotic Modeling and Simulation International Conference Symmetry & Integrability of Difference Equations Contents, Nonlinearity 21:3 Contents, Discrete and Continuous Dynamical Systems - Series S 1:2 Contents, Discrete and Continuous Dynamical Systems - Series B 9:3/4 Submissions to nls-net must be addressed to: Comments and suggestions are also welcome. General information about nls-net can be found at: http://www.maia.ub.es/cgi-bin/mailman/listinfo/nls-net/ This is a service created and maintained in collaboration with the American Institute of Mathematical Sciences (AIMS) http://www.aimsciences.org/ ------ Subject: Advanced Course on Taylor Methods and Computer Assisted Proofs From: Carles Simo Date: Fri, 29 Feb 2008 15:34:26 +0100 Announcement Advanced Course on Taylor Methods and Computer Assisted Proofs - CAP08 To be held at the Institut de Matematiques de la Universitat de Barcelona from June 3 to 7, 2008, both included. Lectures delivered by Prof. Martin Berz, http://bt.pa.msu.edu/berz, with the collaboration of Prof. Kyoko Makino, http://bt.pa.msu.edu/makino. Main items of the contents: - Foundations of Rigorous Computing Interval methods and Taylor methods. - Rigorous Integration of ODEs and Flows. - Constraint Satisfaction Taylor models for different problems. - Automatic domain decomposition and applications. - Applications in Dynamical Systems. For each of the topics, one shall work out example problems for the participants and provide in depth examples of the use of the methods. For detailed information, registration, location, accomodation, etc see http:www.imub.ub.es/cap08 ------ Subject: Chaotic Modeling and Simulation International Conference From: "Christos H. Skiadas" Date: Thu, 21 Feb 2008 00:52:05 GMT Dear Colleague, This is a call for Abstract/Paper submission (deadline March 10, 2008) to the forthcoming Nonlinear Conference titled: Chaotic Modeling and Simulation International Conference (CHAOS2008), Chania, Crete, Greece, June 3-6, 2008. The forthcoming International Conference (Chaos2008) on Chaotic Modeling, Simulation and Applications will take place at the MAICh Conference Centre, Chania, Crete, Greece (June 3-6, 2008). The general topics and the special sessions proposed for the Conference (Chaos2008) include but are not limited to: Chaos and Nonlinear Dynamics, Stochastic Chaos, Chemical Chaos, Data Analysis and Chaos, Hydrodynamics, Turbulence and Plasmas, Optics and Chaos, Chaotic Oscillations and Circuits, Chaos in Climate Dynamics, Geophysical Flows, Biology and Chaos, Neurophysiology and Chaos, Hamiltonian systems, Chaos in Astronomy and Astrophysics, Chaos and Solitons, Micro- and Nano- Electro-Mechanical Systems, Neural Networks and Chaos, Ecology and Economy. For more information and submission details please visit the conference website at: http://www.asmda.net/chaos2008/ Kind regards Christos H. Skiadas Conference Chair Data Analysis and Forecasting Laboratory Technical University of Crete Chania, Crete, Greece skiadas@asmda.net ------ Subject: Symmetry & Integrability of Difference Equations From: Peter Olver Date: Mon, 25 Feb 2008 11:50:12 -0600 Seminaire de Mathematiques Superieures 2008 Symmetry and Integrability of Difference Equations Universite de Montreal, Quebec, Canada June 9-21, 2008 www.dms.umontreal.ca/sms/ *** NSF funding is available for US based students, postdoctoral fellows and young researchers. Some support is expected to be available for other students *** Talks & Speakers 1- "Isomonodromy Transformations of Linear Difference Equations and Painleve Hierarchy" Alexei Borodin (Caltech) 2- "Symmetry Preserving Discretization of Ordinary and Partial Differential Equations" -Vladimir A. Dorodnitsyn (Keldysh Institute) 3- "Discrete Painleve Equations" -Basile Grammaticos (Paris VII) 4- "Definitions and Predictions of Integrability for Difference Equations" -Jarmo Hietarinta (Turku) 5- "Orthogonal Polynomials and Integrable Systems" -Mourad Ismail (Central Florida) 6- "Discrete Painleve Equations and Random Matrices" -Alexander Its (Indianapolis) 7- "q-Mathematics" -Anatoliy Klimyk (BITP, Kiev) 8- "Generalized Lie Symmetries of Difference Equations" -Decio Levi (Rome TRE) 9- "Complete Integrability of Discrete Nonlinear Systems" -Sergey P. Novikov (Moscow U/U of Maryland) 10- "Moving Frames in Applications" -Peter Olver (Minnesota) 11- "Lie Group Transforms in the Interpolation of Digital Data" -Jiri Patera (CRM, Montreal) 12- "Discrete Differential Geometry" -Yuri Suris (TU Munich) 13- "Geometric Observers for Visual Tracking" -Allen R. Tannenbaum (Georgia Tech) 14- "Lie Point Symmetries of Difference Equations" -Pavel Winternitz (CRM, Montreal) The SMS will be followed by the SIDE 8 International Conference: http://www.crm.umontreal.ca/SIDE8/index_e.shtml ------ Subject: Contents, Nonlinearity 21:3 From: Liz Martin Date: Wed, 20 Feb 2008 11:04:42 +0000 NONLINEARITY Volume 21, Issue 3, March 2008 Individual articles are free for 30 days following their publication on the web. This issue is available at: URL: http://stacks.iop.org/0951-7715/21/i=3 Pages: T27--T36, 381--624 OPEN PROBLEMS T27 Convergence, nonconvergence and adiabatic transitions in fully coupled averaging Yuri Kifer T33 Orbits with historic behaviour, or non-existence of averages Floris Takens PAPERS 381 Spectral stability of Markov systems P Duarte and M J Torres 399 Rotational symmetry breaking in baby Skyrme models I Hen and M Karliner 409 Exponential estimates for oscillatory integrals with degenerate phase functions F Cardin, T Gramchev and A Lovison 435 Periodic and quasi-periodic solutions for the complex Ginzburg--Landau equation K W Chung and Xiaoping Yuan 453 One-dimensional families of projections E J\"arvenp\"a\"a, M J\"arvenp\"a\"a, F Ledrappier and M Leikas 465 The period function of hyperelliptic Hamiltonians of degree 5 with real critical points Chengzhi Li and Kening Lu 485 Canonical Melnikov theory for diffeomorphisms H\'ector E Lomel\'\i, James D Meiss and Rafael Ram\'{\i}rez-Ros 509 Analytic theory of narrow lattice solitons Y Sivan, G Fibich, N K Efremidis and S Bar-Ad 537 Regulatory dynamics on random networks: asymptotic periodicity and modularity A Cros, A Morante and E Ugalde 557 Universal asymptotics in hyperbolicity breakdown Kristian Bjerkl\"ov and Maria Saprykina 587 Some hyperbolicity results for Henon-like diffeomorphisms Ulrich A Hoensch 613 A symbolic representation of the real M\"obius group Petr Kurka ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series S 1:2 From: Liwei Ning Date: Wed, 20 Feb 2008 13:21:25 -0600 Discrete and Continuous Dynamical Systems - Series S (DCDS-S) Volume: 1, Number: 2, June 2008 http://aimsciences.org/journals/dcdsS/all-issues.jsp Francois Alouges pages{187--196} A new finite element scheme for Landau-Lifchitz equations Fatihcan M. Atay pages{197--205} Delayed feedback control near Hopf bifurcation George Avalos pages{207--218} Strong stability of PDE semigroups via a generator resolvent criterion Luis Barreira and Claudia Valls pages{219--223} Delay equations and nonuniform exponential stability Wenxiong Chen and Congming Li pages{225--233} A priori estimate for the Nirenberg problem 6. C. T. Cremins and G. Infante pages{235--242} A semilinear A-spectrum Inger Daniels and Catherine Lebiedzik pages{243--252} Existence and uniqueness of a structural acoustic model involving a nonlinear shell J. I. Diaz and L. Tello pages{253--262} On a climate model with a dynamic nonlinear diffusive boundary condition S. Jacquir, S. Binczak, J. P. Gauthier and J. M. Bilbault pages{263--272} Emergence of travelling waves in smooth nerve fibres A. Jimenez-Casas pages{273--281} Invariant regions and global existence for a phase field model Pavel Krejci and Jurgen Sprekels pages{283--292} Clamped elastic-ideally plastic beams and Prandtl-Ishlinskii hysteresis operators Martin Lara and Sebastian Ferrer pages{293--302} Computing long-lifetime science orbits around natural satellites Benjamin Leard, Catherine Lewis and Jorge Rebaza pages{303--315} Dynamics of ratio-dependent Predator-Prey models with nonconstant harvesting Brenton LeMesurier pages{317--327} Modeling thermal effects on nonlinear wave motion in biopolymers by a stochastic discrete nonlinear Schrodinger equation with phase damping Jochen Merker pages{329--338} Generalizations of logarithmic Sobolev inequalities Sarka Necasova pages{339--351} Stokes and Oseen flow with Coriolis force in the exterior domain Henri Schurz pages{353--363} Analysis and discretization of semi--linear stochastic wave equations with cubic nonlinearity and additive space--time noise ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series B 9:3/4 From: Liwei Ning Date: Thu, 21 Feb 2008 16:54:51 -0600 Discrete and Continuous Dynamical Systems Series B (DCDS-B) Volume: 9, Number: 3/4, May/June 2008 http://aimsciences.org/journals/dcdsB/dcdsb_online.jsp Flaviano Battelli and Ken Palmer pages{431--461} Heteroclinic connections in singularly perturbed systems Arno Berger, Doan Thai Son and Stefan Siegmund pages{463--492} Nonautonomous finite-time dynamics Kristian Bjerklov and Russell Johnson pages{493--516} Minimal subsets of projective flows Juan Campos and Rafael Ortega pages{517--523} Location of fixed points and periodic solutions in the plane T. Caraballo, J. Real and I. D. Chueshov pages{525--539} Pullback attractors for stochastic heat equations in materials with memory Nguyen Dinh Cong and Roberta Fabbri pages{541--554} On the spectrum of the one-dimensional Schrodinger operator L. Dieci, M. S. Jolly, R. Rosa and E. S. Van Vleck pages{555--580} Error in approximation of Lyapunov exponents on inertial manifolds: the Kuramoto-Sivashinsky equation P. E. Kloeden and P. Marin-Rubio pages{581--593} Equi-Attraction and the continuous dependence of attractors on time delays Yuri Latushkin, Jan Pruss and Roland Schnaubelt pages{595--633} Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions Weigu Li and Kening Lu pages{635--642} A Siegel theorem for dynamical systems under random perturbations Grzegorz Lukaszewicz pages{643--659} Pullback attractors and statistical solutions for 2-D Navier-Stokes equations Janusz Mierczynski and Wenxian Shen pages{661--699} Time averaging for nonautonomous/random linear parabolic equations Carmen Nunez and Rafael Obaya pages{701--730} A non-autonomous bifurcation theory for deterministic scalar differential equations J. C. Robinson pages{731--741} A topological time-delay embedding theorem for infinite-dimensional cocycle dynamical systems Chunyou Sun, Daomin Cao and Jinqiao Duan pages{743--761} Non-autonomous wave dynamics with memory --- asymptotic regularity and uniform attractor Xiao-Qiang Zhao and Shengfan Zhou pages{763--785} Kernel sections for processes and nonautonomous lattice systems