Digest of the Non Linear Science Network, Volume 03, Number 06 April 1, 2003 Today's editor: Angel Jorba Today's topics: 9th International Workshop on Cellular Automata Anouncement of the second "JORNADES DE SISTEMES DINAMICS" Boundary and Interior Layers Conference Conference on Numerical Simulation of Wave Propagation Conference in Sante Fe on Networks: Structure, Dynamics and Function Special Issue on Nonlinear Problems of Continuum Mechanics Research Position at Uppsala University Postdoctoral Position at INRIA Ph.D. Position at Delft University of Technology Contents, Discrete and Continuous Dynamical Systems - Series A 9:2 Contents, Discrete and Continuous Dynamical Systems - Series A 9:3 Contents, Discrete and Continuous Dynamical Systems - Series A 9:4 Contents, Discrete and Continuous Dynamical Systems - Series A 9:5 Contents, Discrete and Continuous Dynamical Systems - Series B 3:2 Contents, Discrete and Continuous Dynamical Systems - Series B 3:3 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: 9th International Workshop on Cellular Automata From: Ramon Alonso-Sanz Date: Mon, 17 Mar 2003 10:59:11 +0100 AUTOMATA 2003 9th International Workshop on Cellular Automata http://www.esat.kuleuven.ac.be/~gfannes/ca03/ Department of Electrical Engineering, Leuven - Belgium Monday 8 - Wednesday 10 September, 2003 Topics: All aspects of cellular automata, such as * cellular automata in topological dynamics * evolutionary computation in cellular automata * cellular automata in ergodic theory * complexity issues in cellular automata * algebraic and geometric properties in cellular automata * cellular automata as models in the sciences and engineering * generalizations of cellular automata We anticipate that about 25 talks will be given. Presentation time for a talk will be 30 minutes. Invited speakers : Rajarshi Das (IBM T.J. Watson Research Center, formerly at Santa Fe Institute): "Evolutionary design of collective computation in cellular automata". Kellie Michele Evans (California State University, Northridge): "Larger than Life: a family of large range variants of the Game of Life". Andreas Deutsch (Technical University of Dresden): "Cellular automata in biological pattern formation". This workshop, one in a series organized by the "IFIP Working Group 1.5 on Cellular Automata", will take place at the Department of Electrical Engineering ESAT at the Katholieke Universiteit Leuven in Belgium. Deadlines : Registration (intention to participate) and abstracts: as soon as possible, but before May 1. Payment of registration fee, conference dinner,... : before June 30 ------ Subject: Anouncement of the second "JORNADES DE SISTEMES DINAMICS" From: Tere M-Seara Date: Mon, 17 Mar 2003 21:45:20 +0100 The second edition of the JORNADES D'INTRODUCCIO ALS SISTEMES DINAMICS (JISD2003), will be held during June 23-28 2003 at the Universitat Politecnica de Catalunya (UPC), in Barcelona. For more information you can look at the web page http://www-ma1.upc.es/~tere/JISD2002/indexjisd2003.html Tere M-Seara ------ Subject: Boundary and Interior Layers Conference From: BAIL 2004 Conference announcement Date: Wed, 19 Mar 2003 13:09:04 +0100 (MET) BOUNDARY AND INTERIOR LAYERS Conference First announcement Past BAIL Conferences A series of 7 conferences on Boundary And Interior Layers were held around the world from 1980 to 1994 every two years. After an interruption, it has been decided to restart the series. In 2002, a BAIL conference has been organized in Perth, Australia, 8th-12th July. For information on the past conferences, please consult the web-site: http://www.maths.uwa.edu.au/general/BAIL2002/ In 2004, a BAIL Conference will be organized in Toulouse, France. About the BAIL 2004 Conference Date: 5th-9th July, 2004 Location: Toulouse, France Organization: the meeting will be organized jointly by ONERA (J. Cousteix) and IMFT (J. Mauss) http://www.onecert.fr/ http://www.imft.fr Topics: All aspects of computational and analytical methods for boundary and interior layers, and singular perturbation problems. Topics in fluid mechanics involving boundary layers are welcome, including flow modelling (stability, laminar-turbulent transition, turbulence,...), interactive boundary layers, simulation of boundary layer in Navier-Stokes solvers, boundary layer perturbation (vortices, wall perturbations,...), boundary layer receptivity and control. More generally, topics in any filed in which boundary layers and interior layers occur are welcome. Multi-scale problems are also in the scope of the meeting. ------ Subject: Conference on Numerical Simulation of Wave Propagation From: Erkki M S Heikkola Date: Mon, 17 Mar 2003 09:49:09 +0200 (EET) WAVES 2003 Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation June 30 - July 4, 2003 Jyvaskyla, Finland The final announcement and online registration form of the conference are now available at http://www.mit.jyu.fi/waves2003/ Organized by - University of Jyvaskyla - Jyvaskyla Congresses - INRIA The aim of the conference is to provide a forum where mathematicians, scientists, and engineers from academia and industry will have an opportunity to exchange research results and ideas concerning theoretical developments and specific applications in the domain of wave propagation. You are cordially invited to attend the WAVES 2003 conference. In addition to the nine distinguished invited speakers, the conference program consists of 139 oral presentations and 13 poster presentations. Themes of the conference include, for example, acoustic, electromagnetic and elastic waves, scattering and diffraction problems, inverse problems, and various numerical solution techniques. The proceedings of WAVES 2003 will be published by Springer-Verlag. It will include articles on the invited lectures, contributed talks, and posters. The proceedings will be distributed to the participants at the conference site. Important dates: - 30 April, 2003: early registration - 31 May, 2003: hotel reservations ------ Subject: Conference in Sante Fe on Networks: Structure, Dynamics and Function From: Mac Hyman Date: Fri, 28 Mar 2003 17:23:34 -0700 The Center for Nonlinear Studies at Los Alamos National Laboratory is pleased to announce its 23rd Annual Conference on Networks: Structure, Dynamics and Function May 12 - 16, 2003, Hotel La Fonda, Santa Fe, New Mexico, USA http://cnls.lanl.gov/networks Our world is a complex mesh of interacting elements, both natural and man-made. Recent observations suggest that the formation of such complex networks is not random, but rather follows fundamental organizing principles. The 2003 CNLS Annual Conference focuses on the search for underlying principles in the structure, dynamics, and function of complex networks. The conference will facilitate cross-disciplinary interactions by bringing together researchers from a diverse set of fields. The emphasis will be analysis of real-world data from information networks (internet, www, data networks), biological networks (in proteomics, gene networks, metabolic networks), social networks (including epidemiological networks) and infrastructure networks (power grid, transportation networks). Speakers include: Alan Frieze, Albert-L=E1szl=F3 Barab=E1si, Alessandro Vespignani, Andreas Wagner, Andrei Z. Broder, Anil K. Seth, Arnold Levine, Bernardo Huberman, Byungnam Kahng, Christos Papadimitriou, David Aldous, Eric D. Siggia, Eric Davidson, Eugene H. Stanley, Fan Chung Graham, Fred MacKintosh, Geoffrey West, Guido Caldarelli, J=E1nos Kert=E9sz, Jean-Pierre Changeux, John Doyle, John Hopfield, Jon Kleinberg, Jos=E9 F.F. Mendes, Kurt Kohn, Lada A. Adamic, List of Invited Speakers, Marc Vidal, Mark E.J.=A0 Newman, Miguel Aubouy, Paul Krapivsky, Peter Wolynes, Prabhakar Raghavan, R=E9ka Albert, R=E9mi Monasson, Ricard V. Sol=E9, Robert Axtell, Shlomo Havlin, Sidney Redner, Steven Strogatz, Susan Taylor, Tam=E1s Vicsek, Tony Hunter, Uri Alon, William R. Cheswick, Zolt=E1n Oltvai, ------ Subject: Special Issue on Nonlinear Problems of Continuum Mechanics From: Victor Eremeyev Date: Sun, 30 Mar 2003 20:23:48 +0400 CALL for PAPERS 2nd special issue "Nonlinear Problems of Continuum Mechanics" The deadline for submitting of papers for second special issue of journal "Notices of Universities. South of Russia. Natural sciences. Nonlinear Problems of Continuum Mechanics" moved to May 15, 2003. The journal will be published in September-October 2003 (the details are below or on the site http://www.math.rsu.ru/mexmat/mathmodel/eva/npcm/). The journal publishes original papers in all areas of nonlinear mechanics. High quality overviews and the discussion of perspectives in nonlinear mechanics are considered as well. ------ Subject: Research Position at Uppsala University From: Per L|tstedt Date: Mon, 17 Mar 2003 16:30:47 +0100 (MET) The Swedish Research Council announces grants for senior research positions at Swedish universities or research institutes. A grant is intended primarily for an independent, established researcher who is in an active research career. The intention is that nearly all the time should be spent on research. The position is financed for a maximum of six years. One of the grants is for a position in Multiscale methods in Mathematics, Science and Engineering Construction and analysis of methods for representation and computer solution of phenomena with many scales such as turbulent flow, composite materials, high frequency waves and image analysis. Homogenization, multigrid and multipole methods, multiresolution regression, wavelet and scale-space analysis are examples of such methods. Requirements: Qualified to apply for this position are those holding a Ph.D.-degree or corresponding scientific qualifications and who have displayed pedagogical proficiency. Particular emphasis will be placed on scientific ability. Location: The applicant should indicate which Swedish university (or research institute) he or she wants to be appointed to. A requirement is that the chosen university agrees to employ the applicant. Apply at http://www.vr.se no later than May 5, 2003. The application form and a complete guide on requirements and how to apply can be found at http://www.vr.se/english/index.asp?id=3D627 Best regards, Per Lotstedt Department of Information Technology Scientific Computing Uppsala University ------ Subject: Postdoctoral Position at INRIA From: Stephane Lanteri Date: Fri, 21 Mar 2003 09:48:04 +0100 Applications are invited for a one-year postdoctoral position at INRIA Sophia Antipolis in the field of Computational ElectroMagnetism (CEM). Electromagnetics and wave propagation play a increasing role in industrial and domestic contexts (electromagnetic and acoustic pollutions, etc...). Numerical simulation is usually done in the frequency domain or in the time domain. The Caiman team at INRIA Sophia Antipolis: http://www.inria.fr/recherche/equipes/caiman.en.html has been dealing with wave propagation (mainly electromagnetics) for some years now, mainly in the time domain. Recently some promising Computational Fluid Dynamics inspired explicit finite volume methods (FVTD) on unstructured grids, have been proposed by the team. At the same time, the team has also developed a high-level simulation software of CEM in the frequency domain by integral equations. Future research activities will be concerned with the coupling of volumic and surfacic approaches in the time domain as well as in the frequency domain. This link is not the subject of this postdoctoral study, which will be a first step in that direction. More precisely, the objectives here are: - to study implicit time integragtion schemes for the existing FVTD method on unstructured grids, allowing the use of large time steps (useful for locally refined meshes); - to study factorization and resolution algorithms for the resulting algebraic systems (since the focus is on linear electromagnetics, assembled matrices are constant during the simulation, if the time step is held constant); there is here a natural link with the studies in the frequency domain. Many applications of such a study are possible, for example, electromagnetic compatibility of small but far systems~: cellular phones in an airplane, electromagnetic waves in a human brain (with possible heterogeneous, anistropic materials). The candidate is expected to have or receive shortly a PhD in mathematics or applied mathematics with a strong background in the numerical solution of partial differential equations. Experiences in paralle computing would be an asset. Application file: - a detailed scientific program written by the candidate, - a curriculum vitae, - a letter of candidature which includes employment prospects following the post-doctoral period at INRIA, - a copy of (or a pointer to en electronic version of) the doctoral dissertation, - if possible, doctoral committee reports and one to three, letters of recommendation, To be sent by April 14th to: - Dr. Serge Piperno (Serge.Piperno@inria.fr) ------ From: Michel Verhaegen Date: Mon, 31 Mar 2003 09:30:31 +0200 Subject: Ph.D. Position at Delft University of Technology DELFT UNIVERSITY OF TECHNOLOGY Delft Center for Systems and Control Ph.D. position The newly created center for Systems and Control headed by Prof. P. van den Hof and Prof. M. Verhaegen has a vacancy for a Ph.D. student in the area of nonlinear system identification. The goal of the study is to develop numerical solutions for the identification of various classes of nonlinear systems, such as Linear parameter varying systems and composite local linear models. The developments need to focus on the reliability, efficiency and userfriendliness of the algorithms. The developed algorithms will be valied in real-life validation studies on mechatronic macro- and microsystems. The study is embedded in the longterm tradition of the research center in the field of algorithms and system identification. Interested students are invited to send their cv, accompagnied with 3 letters of reference, a summary of their M.Sc thesis and publications to the address below before May 1st, 2003. Prof. dr. ir. Michel Verhaegen M.Verhaegen@its.tudelft.nl Chairman Control Systems Engineering Laboratory Faculty of Information Technology Systems Mekelweg 4, NL-2600 GA Delft, The Netherlands Tel. +31 15 2785204 Fax. +31 15 2786679 ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series A 9:2 From: "Shouchuan Hu" Date: Sat, 15 Mar 2003 13:56:53 -0600 Discrete and Continuous Dynamical Systems - Series A http://AIMsciences.org Volume 9, Number 2, March 2003 L. Biasco and L. Chierchia On the stability of some properly--degenerate Hamiltonian systems with two degrees of freedom 233--262 V. Afraimovich, J.-R. Chazottes and B. Saussol Pointwise dimensions for Poincar{\'e} recurrences associated with maps and special flows 263--280 Martino Prizzi A remark on reaction-diffusion equations in unbounded domains 281--286 S. Yu. Pilyugin, A. A. Rodionova and K. Sakai Orbital and weak shadowing properties 287--308 E. Liz, M. Pinto, G. Robledo, V. Tkachenko and S. Trofimchuk Wright type delay differential equations with negative Schwarzian 309--321 Miguel Mendes Quasi-invariant attractors of piecewise isometric systems 323--338 E. Shustin, E. Fridman and L. Fridman Oscillations in a second-order discontinuous system with delay 339--358 Todd Young Asymptotic measures and distributions of Birkhoff averages with respect to Lebesgue measure 359--378 Yeshun Sun and Chung-Chun Yang Buried points and lakes of Wada Continua 379--382 Mihail Megan, Adina Lumini\c ta Sasu and Bogdan Sasu Discrete admissibility and exponential dichotomy for evolution families 383--397 Shengfan Zhou and Linshan Wang Kernel sections for damped non-autonomous wave equations with critical exponent 399--412 Michele V. Bartuccelli, Guido Gentile and Kyriakos V. Georgiou KAM theory, Lindstedt series and the stability of the upside-down pendulum 413--426 Fabrice Planchon, John G. Stalker, A. Shadi Tahvildar-Zadeh $L^p$ Estimates for the wave equation with the inverse-square potential 427--442 Eugen Mihailescu and Mariusz Urba\'nski Holomorphic maps for which the unstable manifolds depend on prehistories 443--450 Jacky Cresson and Christophe Guillet Periodic orbits and Arnold diffusion 451--470 Hideo Kubo and Kotaro Tsugawa Global solutions and self-similar solutions of the coupled system of semilinear wave equations in three space dimensions 471--482 Jingxian Sun and Shouchuan Hu Flow-invariant sets and critical point theory 483--496 Gabriel Soler L\'opez Accumulation points of flows on the Klein Bottle 497--503 ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series A 9:3 From: "Shouchuan Hu" Date: Sat, 15 Mar 2003 13:56:53 -0600 Discrete and Continuous Dynamical Systems - Series A http://AIMsciences.org Volume 9, Number 3, May 2003 Maria Jo\~ao Costa Chaotic behaviour of one-dimensional saddle-node horseshoes 505--548 H. M. Hastings, S. Silberger, M. T. Weiss, and Y. Wu A twisted tensor product on symbolic dynamical systems and the Ashley's problem 549--558 Jiequan~Li, M\'aria~Luk\'a\v{c}ov\'a - Medvi\v{d}ov\'a, Gerald~Warnecke Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system 559--576 Mikha\"el Balabane, Mustapha Jazar, and Philippe Souplet Oscillatory blow-up in nonlinear second order ODE's: the critical case 577--584 Karsten Matthies Exponentially small splitting of homoclinic orbits of parabolic differential equations under periodic forcing 585--602 Morched Boughariou Closed orbits of Hamiltonian systems on non-compact prescribed energy surfaces 603--616 Christopher Cleveland Rotation sets for unimodal maps of the interval 617--632 Q. Du, M.D. Gunzburger, L.S. Hou, and J. Lee Analysis of a linear fluid-structure interaction problem 633--650 Kosuke Ono Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations 651--662 Frank Jochmann Decay of the polarization field in a Maxwell Bloch system 663--676 R. Fabbri, R. Johnson and C. N\'{u}\~{n}ez On the Yakubovich frequency theorem for linear non-autonomous control processes 677--704 Stefania Gatti and Elena Sartori Well-posedness results for phase field systems with memory effects in the order parameter dynamics 705--726 Bj{\"o}rn Schmalfu{\ss} Attractors for nonautonomous and random dynamical systems perturbed by impulses 727--744 Fabien Durand and Alejandro Maass A note on limit laws for minimal Cantor systems with infinite periodic spectrum 745--750 Zaihong Wang Periodic solutions of the second order differential equations with asymmetric nonlinearities depending on the derivatives 751--770 G. J. Wirsching On the problem of positive predecessor density in 3n+1 dynamics 771-787 Corrigendum 789 ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series A 9:4 From: "Shouchuan Hu" Date: Sat, 15 Mar 2003 13:56:53 -0600 Discrete and Continuous Dynamical Systems - Series A http://AIMsciences.org Volume 9, Number 4, July 2003 Panagiotis Stinis A hybrid method for the inviscid Burgers equation 793--799 Nathaniel D. Emerson Dynamics of polynomials with disconnected Julia sets 801--834 Timoteo Carletti The lagrange inversion formula on non--Archimedean fields, non--analytical form of differential and finite difference equations 835--858 G\'abor Domokos and Domokos Sz\'asz Ulam's scheme revisited: digital modeling of chaotic attractors via micro-perturbations 859--876 Carlos Gutierrez and V\'\i ctor Gu\'\i \~nez Simple umbilic points on surfaces immersed in $\R^4$ 877--900 Patrick Martinez and Judith Vancostenoble Exact controllability in "arbitrarily short time" of the semilinear wave equation 901--924 Jianhua Huang and Xingfu Zou Existence of traveling wavefronts of delayed reaction diffusion systems without monotonicity 925--936 Saulo R.M. Barros, Ant\^onio L. Pereira, Cl\'audio Possani, Adilson Simonis Spatially periodic equilibria for a non local evolution equation 937--948 Federico Mario Vegni Dissipativity of a conserved phase-field system with memory 949--968 Alexander Blokh and Eric Teoh How little is little enough? 969--978 Misha Guysinsky, Boris Hasselblatt and Victoria Rayskin Differentiability of the Hartman--Grobman linearization 979--984 Naoyuki Ishimura and Shin'ya Matsui On blowing-up solutions of the Blasius equation 985--992 Tibor Krisztin A local unstable manifold for differential equations with state-dependent delay 993--1028 Peter Seibt A period formula for torus automorphisms 1029--1048 Kimun Ryu and Inkyung Ahn Positive steady--states for two interacting species models with linear self-cross diffusions 1049--1061 Maya Chhetri, D.D. Hai and R. Shivaji On positive solutions for classes of p-Laplacian semipositone systems 1063--1071 Ming-Chia Li Stability of parameterized Morse-Smale gradient-like flows 1073--1077 ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series A 9:5 From: "Shouchuan Hu" Date: Sat, 15 Mar 2003 13:56:53 -0600 Discrete and Continuous Dynamical Systems - Series A http://AIMsciences.org Volume 9, Number 5, September 2003 Kenneth Hvistendahl Karlsen and Nils Henrik Risebro On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients 1081--1104 Thierry Cazenave, Fl\'avio Dickstein and Fred B.~Weissler Universal solutions of the heat equation on $\Bbb{R}^N$} 1105--1132 Leonardo Mora Homoclinic bifurcations, fat attractors and invariant curves 1133--1148 Martha Alvarez--Ram\'{\i}rez and Joaqu\'{\i}n Delgado Blow up of the isosceles 3--body problem with an infinitesimal mass 1149--1173 Song Shao and Xiangdong Ye Non-wandering sets of the powers of maps of a star 1175--1184 Michihiro Hirayama Periodic probability measures are dense in the set of invariant measures 1185--1192 Y.S. Choi, Roger Lui and Yoshio Yamada Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion 1193--1200 T. Tachim Medjo On the Newton method in robust control of fluid flow 1201--1222 Christian P\"otzsche, Stefan Siegmund, Fabian Wirth A spectral characterization of exponential stability for linear time-invariant systems on time scales 1223--1241 Huijiang Zhao and Yinchuan Zhao Convergence to strong nonlinear rarefaction waves for global smooth solutions of $p-$system with relaxation 1243--1262 T. Gnana Bhaskar, S. K\"oksal, and V. Lakshmikantham Generalized quasilinearization method for semilinear hyperbolic problems 1263--1275 Pavol Quittner and Philippe Souplet A priori estimates of global solutions of superlinear parabolic problems without variational structure 1277--1292 Shigui Ruan, Junjie Wei and Jianhong Wu Bifurcation from a homoclinic orbit in partial functional differential equations 1293--1322 Jaroslav Sm\'{\i}tal and Marta \v Stef\'ankov\'a Omega-chaos almost everywhere 1323--1327 Gisella Croce and Bernard Dacorogna On a generalized Wirtinger inequality 1329--1341 M.~L.~Bertotti and S.~V.~Bolotin Chaotic trajectories for natural systems on a torus 1343--1357 ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series B 3:2 From: "Shouchuan Hu" Date: Sat, 15 Mar 2003 13:56:53 -0600 Discrete and Continuous Dynamical Systems - Series B http://AIMsciences.org Volume 3 Number 2 May 2003 Ka Kit Tung and Wendell Welch Orlando On the differences between 2D and QG turbulence 145--162 Ciprian D. Coman Dissipative effects in piecewise linear dynamics 163--177 Vadym Vekslerchik and V\'{\i}ctor M. P\'erez-Garc\'{\i}a Exact solution of the two-mode model of multicomponent Bose-Einstein condensates 179--192 Michal Fe\v ckan Blue sky catastrophes in weakly coupled chains of reversible oscillators 193--200 C. Wang and J. Liu Positivity property of second-order flux-splitting schemes for the compressible Euler equations 201--228 Dellacherie St\'ephane On the Wang Chang-Uhlenbeck equations 229--253 V.P. Bongolan-Walsh, D. Cheban and Jinqiao ~Duan Recurrent motions in the nonautonomous Navier-Stokes system 255--262 J.R. Stirling Chaotic advection, transport and patchiness in clouds of pollution in an estuarine flow 263--284 Roberto Triggiani The coupled PDE system of a composite (Sandwich) beam revisited 285--298 W.R. Derrick and P. van den Driessche Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population 299--309 ------ Subject: Contents, Discrete and Continuous Dynamical Systems - Series B 3:3 From: "Shouchuan Hu" Date: Sat, 15 Mar 2003 13:56:53 -0600 Discrete and Continuous Dynamical Systems - Series B http://AIMsciences.org Volume 3 Number 3 August 2003 Chjan C. Lim, Joseph Nebus and Syed M. Assad Monte-carlo and polyhedron-based simulations I: Extremal states of the logarithmic N-body problem on a sphere 313--342 Cliburn Chan, Andrew J.T. George and Jaroslav Stark T cell sensitivity and specificity - kinetic proofreading revisited 343--360 Dietmar Szolnoki Set oriented methods for computing reachable sets and control sets 361--382 R. Quintanilla and R. Racke Stability in thermoelasticity of type III 383--400 Shaoyong Lai and YongHong Wu The asymptotic solution of the cauchy problem for a generalized boussinesq equation 401--408 N. Romero, A. Rovella and F. Vilamaj\'o Dynamics of vertical delay endomorphisms 409--422 Kazuyuki Yagasaki Degenerate resonances in forced oscillators 423--438 M. Adimy and L. Pujo-Menjouet Asymptotic behavior of a singular transport equation modelling cell division 439--456 F. Camilli and L. Gr\"une Characterizing attraction probabilities via the stochastic Zubov equation 457--468 Didier Bresch and Jacques Simon Western boundary currents versus vanishing depth 469--477