UK Nonlinear News, May 2002.


Journal: Discrete and Continuous Dynamical Systems

American Institute of Mathematical Sciences (AIMS) is gladly to announce that a gift subscription of the international journal Discrete and Continuous Dynamical Systems (with two series, one on analysis and the other on modelling and computations) can be offered to libraries where sufficient faculty members are interested in the journal and yet, the libraries do not order the journal currently. DCDS covers the areas of analysis, differential equations and dynamics. As an SCI journal, DCDS enjoys a high impact factor. Contributors to the journal include many of the prominent mathematicians and scientists. Detailed information including recent publications can be found at Individual researchers and librarians interested in this offer should contact Dr. Shouchuan Hu at

Source: Shouchuan Hu (

Journal: Invitation to Write an Article for Phil Trans A

Visions of the Future by Young Scientists

About the Journal

The Philosophical Transactions of the Royal Society (Series A: Mathematical, Physical and Engineering Sciences) is the world's longest running scientific journal. Founded in 1665 it was used by Newton to launch his scientific career. It is published monthly by the Royal Society, the UK academy of science. All issues of the journal since 1665 are archived electronically by JSTOR in USA, accessible through most University Libraries.

Background: The Millennium Issues

The 3 Millennium Issues of Phil Trans A, devoted to the work of young scientists, proved to be highly successful. Popular versions have now been published by Cambridge University Press as 3 paper-backed books, all carrying the generic title Visions of the Future (ed. J. M. T. Thompson, 2001). They are devoted to Astronomy & Earth Science, Physics & Electronics, and Chemistry & Life Science. The collections give a unique snap-shot of the state of physical science at the turn of the millennium, of interest to researchers and the public at large. The excitement and enthusiasm of the young scientists is strongly conveyed.

New Triennial Series

To build on this success, the Editor, Michael Thompson, is now planning a rolling series of triennial Christmas Issues. Following the Millennium pattern, he plans to solicit articles from leading young scientists, including holders of Royal Society Research Fellowships. For compatibility with these awards, young will be interpreted as scientists with no more than ten years post doctoral experience. A three year cycle will ensure that the majority of fellows receive a relevant invitation: and this new series will act as a valuable forum for them. It is expected that Cambridge University Press will be adapting these issues as a series of books, as was the case with the Millennium Issues.

Guidelines for the Articles

Young researchers, world-wide, are hereby invited to submit articles reviewing their field of work and looking forward to new developments. They are encouraged to be more speculative, and perhaps more provocative, than they would normally be in a review article. The articles should be timely and topical, and written for a general scientific audience, at about the level of Scientific American. They should be well illustrated with diagrams, photographs, etc, and detailed mathematics should be kept to a minimum. A paper that describes some recent cutting edge research, as well as putting it in its wider context, and looking forward to the future is an ideal candidate. The papers will be subjected to a refereeing process which takes account of the above criteria.

The Triennial Pattern

In selecting 46 articles for the Millennium Issues, it was apparent that 3 issues of the journal are needed to adequately cover the physical sciences. So for this new series the editor is adopting the pattern of publishing one issue each Christmas, rolling cyclically through the physical sciences as follows:
2002 and 2005 to cover Astronomy & Earth Science 2003
2006 to cover Mathematics, Physics & Engineering
2004 and 2007 to cover Chemistry & Life Science

In view of the interdisciplinary nature of much research, this classification will be applied in a flexible manner, and researchers in the biological sciences should not necessarily by deterred. Suggestions for contributions are now welcomed, according to the following timetable.

Timetable for a typical issue
15 Oct year before publicationReceipt of abstracts by Editor
30 Oct year before publicationAcceptance decisions to authors
1 Feb year of publicationReceipt of papers by the Editor
Feb-Mayyear of publicationRefereeing process
15 Jun year of publicationReceipt of final, refereed papers

Submitting an Abstract

Any young scientist, world-wide, who would be interested in contributing an article should send an abstract to the Editor for consideration: submissions by e-mail are strongly encouraged. The abstract should be about one page in length, and a brief CV should also be attached.

Source: Professor J. M. T. Thompson FRS.

New Journal: Multiscale Modelling and Simulation

A SIAM Interdisciplinary Journal

Thomas Y. Hou, California Institute of Technology, Editor-in-Chief

Announcing the first journal to provide a comprehensive forum for multiscale research.

Centered around multiscale phenomena, Multiscale Modelling and Simulation (MMS) is an interdisciplinary journal focusing on the fundamental modelling and computational principles underlying various multiscale methods. Featuring a distinguished, international editorial board, MMS publishes new ideas and methodologies that can be used in various application fields. Particularly emphasised is the interplay between analysis and modelling, modelling and simulation, and mathematics and various applications.

By its nature, multiscale modelling is highly interdisciplinary, with developments occurring independently across fields. A broad range of scientific and engineering problems involve multiple scales. Traditional monoscale approaches have proven to be inadequate, even with the largest supercomputers, because of the range of scales and the prohibitively large number of variables involved. Thus, there is a growing need to develop systematic modelling and simulation approaches for multiscale problems. MMS will provide a single broad, authoritative source for results in this area.

MMS bridges the growing gap in communication between mathematics, chemistry, physics, engineering, computer science, environmental science, and more.

As part of the family of high-quality, distinguished SIAM journals, MMS will benefit from global distribution, accelerated electronic publication, and low subscription prices.

Submit now to the only journal to welcome papers from all disciplines that use multiscale methods

MMS accepts submissions via anonymous ftp. Complete electronic submission instructions, instructions for authors, and a detailed editorial policy are available at Please review the instructions before submitting your paper.

Contact with questions or for more information.

Special issue: IEEE Transactions on Circuits and Systems

IEEE Transactions on Circuits and Systems Part I Special Issue on Analysis, Design and Applications of Switching Circuits and Systems

Content of the special issue

This Special Issue intends to address the growing interest in the analysis, design and applications of switching circuits and systems which include a wide variety of physical and engineering devices such as power electronics systems, switched-capacitor networks, pulse-width modulated systems, chaos generators, sliding-mode systems, relaxation oscillators, relay feedback systems, piecewise linear circuits and systems, etc. Original research and tutorial papers are solicited in (but not limited to) the following areas:

The Guest Editors for this Special Issue are
Dr. Mario di Bernardo
Dr. Henry S.H. Chung
Professor Chi K. Tse
the Guest Associate Editors are Professor A. Ioinovici, Professor M. Kazimierczuk and Professor T. Saito.

Submission Method

Contributions to this Special Issue should be sent to Dr. Mario di Bernardo ( in either PDF or PS format using email attachment. No hardcopies will be accepted. On the first page, clearly state the name, affiliation, address and email address of the corresponding author. All manuscripts should conform to the standard formats as indicated in the ``Information for Authors'' for the IEEE Transactions on Circuits and Systems.


Deadline for submission of manuscripts 31 August 2002
Notification of acceptance 28 February 2003
Tentative publication date September 2003

Source: Mario di Bernardo (

Table of Contents: Nonlinearity Volume 15(3), March 2002

Nonlinearity, 15(2), March 2002
219 Fast and slow blowup in the S2 sigma-model and the (4+1)-dimensional Yang-Mills model
J M Linhart and L A Sadun
239 Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows
R S Ellis, K Haven and B Turkington
257 Fourfold symmetric vortex solutions of the d-wave Ginzburg-Landau equation
Q Han and T-C Lin
271 Exponential mixing for a stochastic partial differential equation driven by degenerate noise
M Hairer
281 Anosov magnetic flows, critical values and topological entropy
K Burns and G P Paternain
315 Stationary solutions of the Navier-Stokes equations in a half-plane downstream of an obstacle: `universality' of the wake
G van Baalen
367 Thermodynamic design of energy models of semiconductor devices
G Albinus, H Gajewski and R Hunlich
385 The 1-soliton in the SO(3) gauged Skyrme model with mass term
Y Brihaye, J Burzlaff, V Paturyan and D H Tchrakian
393 A lower bound for the Hausdorff measure of the Sierpinski gasket
B Jia, Z Zhou and Z Zhu
405 Lighting Arnold flames: resonance in doubly forced periodic oscillators
B B Peckham and I G Kevrekidis
429 On the speed of convergence to equilibrium states for multi-dimensional maps with indifferent periodic points
M Yuri
447 Almost invariant elliptic manifold in a singularly perturbed Hamiltonian system
V Gelfreich and L Lerman
459 Integrable mappings of the plane preserving biquadratic invariant curves II
A Iatrou and J A G Roberts
491 Effective bifurcation analysis: a time-stepper-based approach
O Runborg, C Theodoropoulos and I G Kevrekidis
513 Radiative transport limit for the random Schrodinger equation
G Bal, G Papanicolaou and L Ryzhik

Table of Contents: Nonlinearity Volume 15(3), May 2002

Invited Article
R19 How to prune a horseshoe
A de Carvalho and Toby Hall
531 Unstable manifolds of relative equilibria in Hamiltonian systems with dissipation
G Derks and T Ratiu
551 Statistical analysis of a semilinear hyperbolic system advected by a white in time random velocity field
G Eyink and J Xin
565 Poincare inequalities for linearizations of very fast diffusion equations
J A Carrillo, C Lederman, P A Markowich and G Toscani
581 A stochastic analogue of Aubry-Mather theory
D A Gomes
605 The effect of additive noise on dynamical hysteresis
N Berglund and B Gentz
633 Riddling and invariance for discontinuous maps preserving Lebesgue measure
P Ashwin, X-C Fu and J R Terry
647 Renormalization of flows on the multidimensional torus close to a KT frequency vector
J Lopes Dias
665 Renormalization scheme for vector fields on T2 with a diophantine frequency
J Lopes Dias
681 Hyperbolic scar patterns in phase space
A M F Rivas and A M Ozorio de Almeida
695 Infinitesimal perturbations of rational maps
A Avila
705 Viscous structure of singular shocks
M Sever
727 Hausdorff dimension estimates for infinite conformal IFSs
S-M Heinemann and M Urbanski
735 Lattice equations and tau-functions for a coupled Painleve system
A N W Hone
747 Global existence in the Cauchy problem of the relativistic Chern-Simons-Higgs theory
D Chae and K Choe
759 Scaling, stability and singularities for nonlinear, dispersive wave equations: the critical case
J Angulo, J L Bona, F Linares and M Scialom
787 The dynamics of Pade approximation
Y Tourigny and P G Drazin
807 Weak Lax pair formulation for a new integrable nonlinear equation in 2+1 dimensions
A Maccari
817 Period doubling is the boundary of chaos and of order in the C1-topology of interval maps
V Jimenez Lopez
841 Horseshoe and entropy for C1 surface diffeomorphisms
S Gan
849 An explicit scattering, non-weakly mixing example and weak disjointness
W Huang and X Ye
863 Abelian integrals for quadratic centres having almost all their orbits formed by quartics
W Li, Y Zhao, C Li and Z Zhang
887 Stability, instability, and bifurcation phenomena in non-autonomous differential equations
J A Langa, J C Robinson and A Suarez
905 On the multiplicativity of quantum cat maps
F Mezzadri
923 Structure preserving finite element approximations of Markov operators
J Ding and A Zhou
937 tau-function evaluation of gap probabilities in orthogonal and symplectic matrix ensembles
P J Forrester and N S Witte
955 Publisher's announcement

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Last Updated: 30 April 2002.