Digest of the Non Linear Science Network, Volume 03, Number 11 June 15, 2003 Today's editor: Angel Jorba Today's topics: Summer School in El Escorial on Techniques in Dynamical Systems Workshop on Dynamical Systems in Chile Workshop on Brown on PDE's Conference at Arizona State on Volterra and Delay Equations Postdoctoral Positions at Imperial College London Postdoctoral and Ph. D. Positions at University of Oslo Contents, Physica D: Nonlinear Phenomena, 181 1:2 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: Summer School in El Escorial on Techniques in Dynamical Systems From: Ricardo PEREZ-MARCO Date: Thu, 5 Jun 2003 11:58:25 +0200 Universidad Complutense. Cursos de Verano del Escorial. 2003 Luis A. Santalo Summer School: Techniques in Dynamical Systems El Escorial, 28/7/2003-1/8/2003 The purpose of this summer school is to offer a panoramic view of the modern theory of Dynamical Systems, also called Chaos Theory, and some of the relevant techniques in modern research. We pay special attention to those techniques that discriminate between systems with "tame" dynamics and those with "wild" chaos. This school is addressed not only to mathematicians but also to all researchers and students in scientific fields where Dynamical Systems have an impact, including mathematical biology, physics and chemistry. Each lecture will present an introduction to a main subject. The lecturers are international experts in Dynamical Systems with a solid pedagogical reputation. The courses will be complemented by seminars by the lecturers and other participants. There follows the list of courses with a short description: J.H. Hubbard (Cornell University) Holomorphic Dynamics in one and several variables Holomorphic Dynamics have played an important role in the historic development of Dynamical Systems, and more recently in its popularization. It is both a mathematically deep theory and an attractive subject (even for non scientists) because of the popular colorful computer graphics of fractal sets. The mathematical theory uses sophisticated techniques from potential theory and quasi-conformal geometry. The recent extension of the theory to iteration in several variables uses new techniques that will be presented, along with new computer graphics. A. Katok (Penn State University) Liouvillean phenomena in Dynamics The goal of the researcher in Dynamical Systems is to find order among chaos. This explains the importance of the study of particular systems and examples. The purpose of this course is to present non-standard examples. These present complicated and exotic behavior at the other part of the spectrum of conventional chaos. J. Llibre (Universitat Autonoma de Barcelona) Planar polynomial vector fields Nonlinear ordinary differential equations appear in many branches of applied mathematics, physics and, in general, in applied sciences. From the point of view of pure mathematics, still one question in Hilbert's list of problems remains unresolved in this field. For a vector field defined in the plane the existence of a first integral determines completely its phase portrait. The following natural question arises: Given a vector field on the plane, how to recognize if this vector field has a first integral? A diversity of techniques have been developed in order to answer this question. Some of them will be presented. J.J. Morales-Ruiz (Universitat Politecnica de Catalunya) A differential Galois approach to non-integrability Most of conservative Dynamical Systems arising in applied sciences do have a Hamiltonian character. Their dynamics is particularly simple to understand when the system is integrable, that is, presents enough preserved quantities or first integrals. In this course presents a criterion of non-integrability for analytic Hamiltonian systems based on the variational equation along a particular solution. This builds a bridge between two different concepts of integrability: The complete integrability of Hamiltonian systems and the integrability of complex analytical linear differential equations. R. Perez-Marco (University of California Los Angeles) Small Divisors in Conservative Dynamical Systems The theory of Small Divisors was originally motivated by problems in Celestial Mechanics. Small Divisors phenomena penetrates the world of chaos and is responsible for numerous subtle phenomena appearing in Dynamical Systems related to applied sciences. The goal of this course is to describe some of these phenomena, learn to recognize them, and understand their inside mechanisms by means of simple examples. Numerous techniques have been developed to deal with this type of problems. Some of these will be presented. ------ Subject: Workshop on Dynamical Systems in Chile From: Workshop Date: Fri, 13 Jun 2003 18:20:58 +0000 SECOND ANNOUNCEMENT "III WORKSHOP ON DYNAMICAL SYSTEMS" San Pedro de Atacama, Chile. August 11-15, 2003 ABOUT THE WORKSHOP The III Workshop on Dynamical Systems will be held at the Archeology Museum of Universidad Catolica del Norte (UCN), at San Pedro de Atacama, Chile. It will begin Monday morning of August 11, and it will end Friday afternoon of August 15. This is the third version of a biannual Workshop on Dynamical Systems that has been held since 1999 at Universidad Catolica del Norte, Antofagasta, Chile. The objetive of the Workshop is to stimulate the exchange of new ideas in various topics of dynamical systems. Any topic on Dynamical Systems is welcomed at this workshop, with special emphasis on new directions of research for future development. The topics include: SRB measures. One Dimentional Dynamics. Attractors and Hausdorff measures. Non-uniform hyperbolicity. Complex Dynamics. IMPORTANT DEADLINES Applications for talks: Friday, July 18, 2003. Accommodations: Monday,July 28, 2003. SCIENTIFIC INFORMATION Scientific Committee: R. Bamon. (U. de Chile, Chile) S. Martinez (CMM, Chile) S. Newhouse (Michigan State, USA) J. Palis (IMPA, Brazil) J. Rivera-Letelier (UCN, Chile) J.C. Yoccoz (College de France, France) Outline of Program The scientific program consists of Mini-courses (4 lectures each), communicatios and lectures that will be scheduled starting Monday afternoon August 11. Minicourses: M. Viana (IMPA, Brazil) "Equilibrium States." J.C. Yoccoz (College de France) "Interval Exchange Transformations." Confirmed Speakers: R. Bamon (U. de Chile, Chile) V. Gui\~nez (USaCh, Chile) C. Gutierrez (Sao Carlos, Brazil) A. Hinkkanen (U. of Illinois, USA) V. Horita (UNESP, Brazil) J. Kiwi (PUC, Chile) R. Labarca (USaCh, Chile) M. Lyubich (Stony Brook, USA) R. Markarian (Universidad de la Republica, Uruguay) S. Martinez (CMM, Chile) A. Mass (CMM, Chile) C. Moreira (IMPA, Brazil) A. Navas (ENS- Lyon, France) M.J. Pacifico (UFRJ, Brazil) J. Palis (IMPA, Brazil) S. Plaza (USaCh, Chile) F. Przytycki (IMPAN, Poland) E.Pujals (IMPA, Brazil) C. Vasquez (IMPA, Brazil) Those who wish to give a talk apply to our web page at http://workshop.ucn.cl Please send us the title and the abstract of your talk, together with registration information. The application deadline is Friday, July 25, 2003. FINANCIAL SUPPORT There will be a limited support to cover living expenses for PhD students. A letter of recomendation and a short C.V. will be reqired before July 15. Organizing Committee: E. Fierro (UCN) E. Munoz (UCN) J. Rivera (UCN) B. San Martin (UCN) R. Urzua (UCN) J. Vera. (UCN). Contact information Departamento de Matematica Universidad Catolica del Norte Casilla 1280 Antofagasta. Chile Fono (56)(55) 355597 Fax: (56)(55) 355599 workshop@ucn.cl ------ Subject: Workshop on Brown on PDE's From: Jan S. Hesthaven Date: Tue, 3 Jun 2003 13:14:02 -0400 (EDT) 2003 AFOSR Workshop 2nd Announcement and Update Advances and Challenges in Time-Integration of PDE's www.dam.brown.edu/AFOSR03Workshop.html August 18-20, 2003 Brown University, RI, USA As methods for spatially representing solutions to partial differential equations mature, the current methods for temporal integration emerge as a bottleneck in many areas of large scale computational science. This is of particular concern as the emphasis in many applications and recent technologies requring fully dynamic modeling over extended time periods. It is the purpose of the workshop to focus on the above mentioned issues in more detail and, by bringing together experts in various fields, initiate a discussion on how to effectively address these significant challengdes. The format of the workshop will be as a number of invited lectures. These lecture are intended to delineate the problems encountered as well as presenting a variety of existing and emerging time integration techniques. It will be a priority to attempt to understand the advantages and limitation of the different techniques to suggest directions in which research should be directed. SPEAKERS - U. Ascher (UBC, Canada) J. Bell (LBL) J. Butcher (Auckland, New Zealand) M. Carpenter (NASA Langley) H. Elman (UMCP) S. Gottlieb (UMass Dartmouth) B. Gustafsson (Uppsala, Sweden) E. Hairer (U. Geneve, CH) A. Jameson (Stanford) Z. Jackiewicz (ASU) G. Karniadakis (Brown) C. Kennedy (Sandia Nat. Lab) Y. Kevrekidis (Princeton) D. Knoll (Los Alamos Nat. Lab) H. Najm (Sandia Nat. Lab) G. Russo (Rome, Italy) L. Shampine (SMU) J. Shang (Wright State/WPAFB) R. Teman (U. Indiana; Paris, France) S. Thomas (NCAR) J. Verwer (CWI, The Netherlands) C. Woodward (LLNL) CONTACT AND FURTHER INFORMATION - Further information and prelimenary registration by contacting the workshop secretary Ms. Janice D'Amico 2003 AFOSR Workshop Secretary damico@cfm.brown.edu Best regards The organizing committee M. Carpenter (NASA Langley), David Gottlieb (Brown), Jan S. Hesthaven (Brown), Chi-Wang Shu (Brown) ------ From: Zdzislaw Jackiewicz Date: Thu, 12 Jun 2003 17:31:06 -0700 (MST) Subject: Conference at Arizona State on Volterra and Delay Equations Call for Papers The Third International Conference on The Numerical Solution of Volterra and Delay Equations May 18-21, 2004, Arizona State University, Tempe This conference will be devoted to the computational and applied aspects of Volterra and delay equations. These include functional differential equations (delay, advanced and neutral), Volterra integral equations, and Volterra integro-differential equations. There will be both invited lectures and contributed talks at the meeting. In addition, there will be ample time for informal discussions. Conference topics include but are not limited to: * Convergence and order properties of numerical methods * Stability analysis and construction of highly stable methods * Implementation aspects: software development and testing * Applications of Volterra and delay equations * Partial delay differential equations The Conference is supported by the National Science Foundation and by Arizona State University (Department of Mathematics, College of Liberal Arts and Science, Office of the Vice-President for Research, and Center for Systems Science and Engineering). Limited funds are available for partial support of participants, in particular for students, junior scientists, and members of groups which have traditionally been underrepresented in the mathematical sciences. To apply for such assistance please contact the conference organizers by March 1, 2004. A special issue of Applied Numerical Mathematics will be devoted solely to this Conference. This issue will be similar to Vol. 9, No. 3-5(1992) of this journal that followed the First Conference and Vol. 24, No. 2-3 (1997) that followed the Second Conference (Volterra Centennial). Papers for journal publication will be selected from among invited and contributed papers and will meet the usual high refereeing standards of the journal. The deadline for submitting the manuscripts is July 1, 2004. The deadline for registration and receiving titles and abstracts is April 1, 2004. The regular registration fee for the meeting is $80 and the student registration is $40. Registration fee covers all social functions, including the conference dinner. Interested persons are requested to announce their intention to participate and/or present contributed papers by contacting the organizers by e-mail, by visiting the conference webpage at http://banach.la.asu.edu/~jackiewi/index.html or by contacting the organizers at the address Zdzislaw Jackiewicz Department of Mathematics Arizona State University Tempe, Arizona 85287 e-mail: jackiewi@math.la.asu.edu The organizers, Alan Feldstein and Zdzislaw Jackiewicz ------ Subject: Postdoctoral Positions at Imperial College London From: John W. Barrett Date: Sat, 07 Jun 2003 12:27:02 +0100 There are two 3 year EPSRC postdoctoral positions available in the Mathematics Department at Imperial College, London, UK. (1) Finite Element Approximation of Thin Film Flows John W. Barrett (Maths) and Omar K. Matar (Chem. Eng.). Closing date 30th June 2003. (2) Differential Algebraic Equations Robert E. Beardmore {Maths). Closing date 31st July 2003. For further details and application forms, see www.ma.ic.ac.uk ------ Subject: Postdoctoral and Ph. D. Positions at University of Oslo From: Helge Galdal Date: Tue, 03 Jun 2003 12:53:18 +0200 "Centre of Mathematics for applications (CMA)" - a newly established Centre of Excellence at the University of Oslo, Norway, hereby invites applications for 1-2 post-doc. positions and 1-2 PhD scholarships: All 2-4 positions are available from 1 August 2003, but the start date may be delayed if necessary. Applications with all necessary enclosures must be received by 1 July. For details, please check the full announcement at our web-site: http://www.cma.uio.no/ Regards, Helge Galdal Senior Adviser, CMA ------ Subject: Contents, Physica D: Nonlinear Phenomena, 181 1:2 From: cdmailer@elsevier.co.uk Date: Thu, 12 Jun 2003 13:36:31 +0100 (BST) For more information about this journal visit: http://www.elsevier.com/locate/physd Continuation of periodic orbits in conservative and Hamiltonian systems F.J. Munoz-Almaraz, E. Freire, J. Galan, E. Doedel, A. Vanderbauwhede pp 1-38 Low dimensional attractors arise from forcing at small scales J.C. Robinson pp 39-44 Hamiltonian mappings and circle packing phase spaces: numerical investigations A.J. Scott pp 45-52 Solving the boundary value problem for finite Kirchhoff rods A.F. da Fonseca, M.A.M. de Aguiar pp 53-69 Analytic solitary waves of nonintegrable equations M. Musette, R. Conte pp 70-79 Pattern formation in spatially heterogeneous Turing reaction-diffusion models K. Page, P.K. Maini, N.A.M. Monk pp 80-101 A random asymmetric temporal model of multi-agent interactions: dynamical analysis C.J. Emmanouilides, S. Kasderidis, J.G. Taylor pp 102-120 Quantifying nonequilibrium behavior with varying quenching rates C.J. Gagne, M. Gleiser pp 121-131 Vesicular mechanisms and estimates of firing probability in a network of spiking neurons R. Rodriguez, P. Lansky, V. Di Maio pp 132-145