UK
Nonlinear News, `November 2000`.

- Backlog of Mathematics Research Journals.
- Approved Comparative Pricing Data for Journals to Be Available Online.
- Call for papers: Applications of Chaos in modern communication systems.
- Dynamic Notes: New issue (2000.02) released.
- Dynamical Systems and Applications.
- Relaunch of Journal of Mathematical Biology.
- NONLINEARITY - Contents list:
Volume
**13**(5&6), September & November 2000 - New Journal: Discrete and Continuous Dynamical Systems (series B).

An update of the American Mathematical Society's review of
backlog of mathematics research journal appears in
`Notices of the American Mathematical Society`,
Volume **47**, Number 8, September 2000, 915-918.
The survey includes print journals, journals available in both
print and electronic forms, and electronic journals.

The AME ((American Mathematical Society)) has announced plans to make available on its Web site comparative raw pricing data for mathematics journals. For each of approximately 250 journals, the plan is to include the subscription price in local currency and the number of pages publisher per year for each of the past four years. The data have been approved by the publishers.

The information is to be available in a form that can be conveniently downloaded to a spreadsheet. The Web address is

http://www.ams.org/membership/journal-survey.html. [...]In each future year the plan is that the data for the past year will be added until ten years of data have been posted, and thereafter only the twn most recent years will be retained.

Anthony W. Knapp.

**Source**: `Notices of the American Mathematical
Society` **47**(6), June/July 2000, 683.

This Special Issue intends to address the growing role of nonlinear dynamics and chaos theory in modern communication systems. The focus is on those elements and/or algorithms in the transmitter-receiver chain which exploit properties of nonlinear systems and chaos. Chaotic signals are characterized by random-like behavior in the time domain, and by continuous broadband power spectrum in the frequency domain. These properties have emerged in several applications in the communication field. Chaos-based communications systems are now in a mature state of development and several possible schemes have been proposed and characterized. A crucial step towards the implementation of practical communication systems includes a good bit-error-rate (BER) performance in the presence of noise and distortion, resistance to multipath propagation, and multi-user capabilities. In these areas there has been recently a great research activity. The aim of this Special Issue is to identify those ideas which might lead to some real engineering applications.

Original research and tutorial papers are solicited in the following areas:

- Nonlinear circuits and systems for chaos-based communications
- Chaos in information theory and processing:
- Estimation of chaotic signals
- Modeling with chaotic signals
- Applications of symbolic dynamics
- Noise filtering exploiting determinism

- Chaos-based modulation techniques:
- Chaotic pulse-position modulation
- Self-synchronizing chaotic communication systems/LI>
- Noncoherent chaos-based communication systems/LI>
- Multiplexing and multiple-access techniques /LI> exploiting chaos/LI>

- Spread-spectrum communications using chaos:
- Direct-sequence spread-spectrum systems based on chaos
- Chaos-based frequency hopping systems

- Chaos and cryptography

The Guest Editors for this Special Issue are:

Dr. Ljupco Kocarev |
kocarev@heisenberg.ucsd.edu |

Dr. Gian Mario Maggio |
gmaggio@ucsd.edu |

Professor Maciej Ogorzalek |
maciej@zet.agh.edu.pl |

Dr. Lou Pecora |
pecora@anvil.nrl.navy.mil |

Professor Kung Yao |
yao@ee.ucla.edu |

Contributions for this Special Issue should be sent to:

Dr. Lou Pecora

Code 6340,

Naval Research Laboratory

Washington, D.C. 20375-5000

U.S.A.

Telephone: +1-202-767-6002

Fax : +1-202-767-1697

E-mail: `
pecora@anvil.nrl.navy.mil`

Manuscripts are subject to peer review and should be submitted by FEBRUARY 15, 2001.

All manuscripts should conform to the standard formats
as indicated in the "Information for Authors" of the
IEEE Transactions on Circuits and Systems (see
`
http://www.ieee.org/organizations/pubs/authors.html`).

**Source**
Gian Mario Maggio
(`
maggio@routh.ucsd.edu`).

The SIAM Activity Group on Dynamical Systems has recently released a
new issue of their newsletter `Dynamic Notes`. It is available
from their new web site:
`
http://math.gmu.edu/html/ds/`.

The journal `Dynamics and Stability of Systems' has changed title and will
be publishing under the new title `Dynamical Systems and Applications`
as from the first issue of volume 16, to be published in early 2001. The
journal's publishers, Taylor and Francis, who took over publication of
last year's issue, have initiated a number of new features. These include
abstracts, editorial and submission information at their website

`
http://www.tandf.co.uk/journals/`

This site can provide on-line full text access to subscribers via Catchword. Subscribing institutions can also access the journal via other databases, for example Ebsco online.

The editorial board encourages readers of `UK Nonlinear News` to consider
`Dynamical Systems and Applications` as a journal for submitting articles
in any area of dynamics, especially where applications or potential
applications can be identified. We will endeavour to provide a rapid and
high quality refereeing process in all cases.

Note that manuscript submissions can now be made to either Dr P. Ashwin, School of Mathematical Sciences, University of Exeter, Laver Building, North Park Road, Exeter EX4 4QE, UK or to Dr M. Nicol, Department of Mathematics and Statistics, University of Surrey, Guildford GU2 7XH, UK.

There follows a list of papers appearing in the current volume (15).

15/1 | S. H. Doole and S.J. Hogan |

A Piecewise Linear Suspension Bridge Model: Nonlinear Dynamics and Orbit Continuation. | |

15/1 | P. Swinnerton-Dyer |

A Note on Liapunov's Method. | |

15/1 | H.L.D. de S. Cavalcante and J.R.Rios Leite |

Bifurcations and Averages in the Logistic Map. | |

15/1 | J. Billingham |

Phase Plane Analysis of One-Dimensional Reaction Diffusion Waves with Degenerate Reaction Terms. | |

15/1 | Y. Cao and S. Kiriki |

The Isolated Saddle-Node Bifurcation Occurring Inside a Horseshoe. | |

15/2 | M. Garcia, A. Chatterjee and A. Ruina |

Efficiency, Speed, and Scaling of Passive Dynamical Bipedal Walking. | |

15/2 | A. Chatterjee and M. Garcia |

Small Slope Implies Low Speed In Passive Dynamic Walking. | |

15/2 | D.J. Chillingworth |

Generic Multiparameter Bifurcation from a Manifold. | |

15/2 | G.H.M. van der Heijden |

Bifurcation Sequences in the Interaction of Resonances in a Model Deriving from Nonlinear Rotordynamics: the Zipper. | |

15/2 | N. Sri Namachchivaya and L. Vedula |

Stabilization of Linear Systems by Noise: Application to Flow Induced Oscillations. | |

15/2 | K. Glass |

Symmetries and Bifurcations in Equilibrium Configurations in the Plane. | |

15/3 | J.H. Merkin, R.A. Satnoianu and S.K. Scott |

The Development of Spatial Structure in an Ionic Chemical System Induced by Applied Electric Fields. | |

15/3 | P. Ashwin and G. Dangelmayr |

Unfolding Isochronicity in Weakly Dissipative Oscillators. | |

15/3 | A.R. Champneys and J. Härterich |

Cascades of Homoclinic Orbits to a Saddle-Centre for Reversible and Perturbed Hamiltonian Systems. | |

15/3 | S.A. Gourley and M.V. Bartuccelli |

Existence and Construction of Travelling Wavefront Solutions of Fisher Equations with Fourth Order Perturbations. | |

15/3 | S.M. Jalnapurkar and J.E. Marsden |

Reduction of Hamilton's Variational Principle. | |

15/4 | R.E. Beardmore |

Double Singularity-Induced Bifurcation points and Singular Hopf Bifurcations. | |

15/4 | A.P.S. Dias, B. Dionne and I. Stewart |

Heteroclinic Cycles and Wreath Product Symmetries. | |

15/4 | O. Mermoud |

Dynamics of the equilateral 5-bars. | |

15/4 | P. Imkeller and C. Lederer |

Some formulas for Lyapunov exponents and rotation numbers in two dimensions and the stability of the harmonic oscillator and the inverted pendulum. |

**Source**:
Peter Ashwin
(`
PAshwin@maths.ex.ac.uk`).

**Editorial**: Vol.40/1, 2000.

Just over 25 years ago, the Journal of Mathematical Biology was founded by Hans Bremermann, F.A. Dodge and Karl-Peter Hadeler to foster the emerging interdisciplinary field by stimulating the development of mathematical tools for the analysis of biological phenomena.

After a period of growth and finding form, the journal has functioned well for many years with a somewhat implicitly defined editorial policy and a very stable editorial and advisory board, in which changes were made only occasionally.

The current three managing editors have recently embarked on a redefinition of the aims and scope and a concurrent renewal and restructuring of the board.

In this issue we present the outcome. It is with gratitude and recognition for everything they have contributed and achieved that we part from the previous board. It is with high hopes for the catalyzing role of the journal that we introduce a new editorial board and the explicit formulation of the journal's aims.

Ultimately, it is the authors and the readers who shape a journal. So this editorial is first and foremost an invitation to everyone with an active interest in mathematical biology to make the journal prosper in the coming years by submitting papers of the highest standards of excellence and by following critically what other authors are publishing there.

Odo Diekmann

Karl-Peter Hadeler

Alan Hastings

**Aims and Scope**

The aim of the `
Journal of Mathematical Biology` is,
on the one hand, to
foster the contribution of mathematical modelling and reasoning to the
understanding of biological systems and the explanation of biological
phenomena, and, on the other hand, to be a forum for the presentation of
biologically inspired problems of a mathematical nature.
Consequently, papers should either provide biological insight as a result of
mathematical analysis or identify and open up challenging new types of
mathematical problems that derive from biological knowledge (in the form of
data, or theory, or simulation results). Mathematical ideas, methods,
techniques and results are welcome provided they show sufficient potential
for usefulness in a biological context.
Areas of biology covered include, but are not restricted to, biofluids, cell
biology, physiology, neurobiology and behaviour, development, ecology,
population biology, genetics and evolution, epidemiology, immunology,
molecular biology, DNA and protein structure and function. It is understood
that research in mathematical biology may rely on advanced computational
methods and visualization tools, as well as on the more traditional
analytical and stochastic approaches.

The
`
Journal of Mathematical Biology`
aims to offer its readers occasionally
(in approximately every second issue) papers in which state-of-the-art
surveys are combined with visionary speculation on topics and problems that,
in the author's opinion, deserve serious attention. Ideally such papers
should be motivated by biological questions and interpretations and at the
same time address substantial mathematical issues. They should provide a
stimulus for future developments and consequently have a relatively long
citation half-life.

To write such an article, one needs to be an expert with a broad overview of the field and its neighbouring areas. Even then a considerable amount of time and energy is involved. As a reward and token of appreciation, the journal offers, for such published papers, a complimentary subscription for one year. Usually the editors will actively encourage potential authors, but anyone planning to write such an article should not hesitate to contact any of the managing editors. A refereeing procedure is followed in all cases, primarily in order to obtain constructive feedback from outside which will contribute to the potential impact.

Honorary Editor | |

S.A. Levin | Princeton, NJ |

Managing Editors | |

O. Diekmann | Utrecht |

K.-P. Hadeler | Tübingen |

A. Hastings | Davis, CA |

Editorial Board | |

R. Buerger | Wien |

G. B. Ermentrout | Pittsburgh, PA |

M. Gyllenberg | Turku |

Y. Iwasa | Kyushu |

M. Lewis | Salt Lake City, UT |

M. Moehle | Mainz |

C. Neuhauser | Minneapolis, MN |

T. J. Pedley | Cambridge |

A. Pugliese | Povo di Trento |

L.A. Segel | Rehovot |

S. Tavar | Los Angeles, CA |

**Source**:
Annette Anlauf
(`
Anlauf@Springer.de`)

1425 | A. Franz |

Hausdorff dimension estimates for non-injective maps using the cardinality of
the pre-image sets | |

1439 | N.S. Witte, P.J. Forrester and C.M. Cosgrove |

Gap probabilities for edge intervals in finite Gaussian and Jacobi unitary
matrix ensembles | |

1465 | B. Sandstede and A. Scheel |

Gluing unstable fronts and backs together can produce stable pulses | |

1483 | \`A. Haro |

The primitive function of an exact symplectomorphism | |

1501 | S. Terracini and G. Verzini |

Oscillating solutions to second-order ODEs with indefinite superlinear
nonlinearities | |

1515 | R. Stoop, K. Schindler and L.A. Bunimovich |

Neocortical networks of pyramidal neurons: from local locking and chaos to
macroscopic chaos and synchronization | |

1531 | S. Galatolo |

Orbit complexity by computable structures | |

1547 | P. Tisseur |

Cellular automata and Lyapunov exponents | |

1561 | E. Fontich and P. Mart\'{rm i} n |

Differentiable invariant manifolds for partially hyperbolic tori and a lambda
lemma | |

1595 | J. Angulo and J.F. Montenegro |

Existence and evenness of solitary-wave solutions for an equation of short
and long dispersive waves | |

1613 | D.S. Saraga and T.S. Monteiro |

Semiclassical Gaussian matrix elements for chaotic quantum wells | |

1645 | A.S. Carstea |

Extension of the bilinear formalism to supersymmetric KdV-type equations | |

1657 | G.L. Alfimov, W.A.B. Evans and L. V\'azquez |

On radial sine-Gordon breathers | |

1681 | C. Maes, F. Redig, F. Takens, A. van Moffaert and E. Verbitski |

Intermittency and weak Gibbs states | |

1699 | T.M. Seara and J. Villanueva |

Asymptotic behaviour of the domain of analyticity of invariant curves of the
standard map | |

1745 | W.J. Cowieson |

Stochastic stability for piecewise expanding maps in
R^{d} | |

1761 | L. Macarini |

Entropy rigidity and harmonic fields | |

1775 | C. Li, W. Li, J. Llibre and Z. Zhang |

Linear estimate for the number of zeros of Abelian integrals for quadratic
isochronous centres | |

1801 | F.V. Andreev and A.V. Kitaev |

Connection formulae for asymptotics of the fifth Painlevé transcendent on
the real axis | |

1841 | J. Kwapisz |

Poincaré rotation number for maps of the real line with almost periodic
displacement | |

1855 | S. Ghosal and J.B. Keller |

A hyperbolic equation for turbulent diffusion | |

1867 | P. Eslami, M. Sarbishaei and W. Zakrzewski |

Baby Skyrme models for a class of potentials |

1883 | C. Gutierrez |

On C^{r}-closing for flows on 2-manifolds | |

1889 | P.R. Killeen and T.J. Taylor |

A stochastic adding machine and complex dynamics | |

1905 | L. Rondoni and E.G.D. Cohen |

Gibbs entropy and irreversible thermodynamics | |

1925 | H. Blohm |

Solution of nonlinear equations by trace methods | |

1965 | N.S. Witte and P.J. Forrester |

Gap probabilities in the finite and scaled Cauchy random matrix ensembles | |

1987 | J. Bolte and R. Glaser |

Quantum ergodicity for Pauli Hamiltonians with spin 1/2 | |

2005 | J. Wei and M. Winter |

On a two-dimensional reaction--diffusion system with hypercyclical structure | |

2033 | T. Carletti and J. Laskar |

Scaling law in the standard map critical function. Interpolating Hamiltonian
and frequency map analysis | |

2063 | E.P. Zemskov, V.S. Zykov, K. Kassner and S.C.Müller |

Stability of travelling fronts in a piecewise-linear reaction--diffusion
system | |

2077 | C.G. Moreira, E. Mu noz Morales and J. Rivera-Letelier |

On the topology of arithmetic sums of regular Cantor sets | |

2089 | G.W. Patrick and R.M. Roberts |

The transversal relative equilibria of a Hamiltonian system with symmetry | |

2107 | R. Mart\'\i nez and C. Sim\'o |

The degree of differentiability of the regularization of simultaneous binary
collisions in some N-body problems | |

2131 | R. Wegmann and D. Crowdy |

Shapes of two-dimensional bubbles deformed by circulation | |

2143 | G. Giacomin, J.L. Lebowitz and R. Marra |

Macroscopic evolution of particle systems with short- and long-range
interactions | |

2163 | S. Krusch |

S^{3} Skyrmions and the rational map ansatz | |

2187 | |

AUTHOR INDEX (with titles), Volume 13 |

Recently the international journal `Discrete and Continuous Dynamical
Systems` joined the prestigious ranks of SCI journals (indexed in Science
Citation Index and all of its relevant subsidiaries), and is ranked in the
60s among all the mathematical journals in the world. Thus
`DCDS` has
established itself as a prime journal on the theory and methods of analysis,
differential equations and dynamical systems. To meet the demand and
complement the current `DCDS`, series B of `DCDS`
is launched as a quarterly
publication on applied mathematics. The new series is intended to
bridge mathematics and sciences (engineering). The link connecting
mathematics and applied sciences is dynamical system.

Series B of `DCDS` is an interdisciplinary journal devoted to
publishing
research articles in mathematics, applied to advance the understanding of
specific scientific problems. The journal is focused on the interplay
between mathematical analysis and scientific applications (computations).

To be considered by the journal, a paper should be in either of the two categories: (1) papers developing and analyzing physical models and/or using numerical simulations or experiments to reveal or explain some new physical phenomena, where mathematical analysis plays a major role in the analysis and process- and (2) papers focused on mathematics with a clear physical motivation and the results must lead to an improved understanding of the underlying physical problem. Manuscript applying standard techniques to slightly new problems or providing mathematical analysis in the absence of significant scientific motivation will not be considered.

To be acceptable by the journal, a paper must be presented in a way that at least 25+ACU- of it can be understood by people from a wide range of fields including mathematics, engineering and science.

The journal is centered around dynamics, covering a broad range of applied areas including physical, engineering, financial, biomedical, and life sciences. A more detailed indication is given by the subject interests of the members of the Editorial Board.

To submit a paper, send a postscript file and three hard copies to an associate editor, who is familiar with the topic of the paper, and send an e-mail message informing the Managing Editor of your action. E-mail addresses of all the Editorial Board members can be found at the journal's home page.

We will set up a high standard so that readers and authors can both benefit from the rigorous refereeing procedure, prompt publication times, and rapid responses to research developments, ensuring that the journal is timely, topical and fully validated.

Your are cordially invited to contribute and participate.

Websites:
`
http://math.smsu.edu/journal`
and
`
http://www.faculty.smsu.edu/s/shh209f`

**Source**:
Professor Shouchuan Hu

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Last updated: 6th November 2000.

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uknonl@amsta.leeds.ac.uk`.