- Web Pages for Nonlinear Journals and Newsletters.
- ``Snapshots of a Lively Character: Mary Lucy Cartwright, 1900-1998''.
- 50 Years since the world's first stored-program computer ran.
- ``Computer Simulation and Beyond --- for the 21st Century".
- RESEARCH-EXPOSITORY SURVEY: Symbolic dynamics and Markov partitions.
- RESEARCH REPORTS: The universal templates of Ghrist.
`Nonlinearity`offers multimedia features to authors.`Nonlinearity`**11**(5): Table of Contents.`Nonlinearity`**11**(6): Table of Contents.

Philip J. Davis reminisces about Mary Cartwright from the
perspective of a decades-long friendship, appreciating her
especially for a ``mind and a tongue sharpened over the years
by the repartee of Oxbridge high table wits.'' The article
appears in `SIAM News`, Volume **31**(6),
July/August 1998, 4.

`UK Nonlinear News` ran a news item on
Topological Methods in ODE's: The Mathematical
Collaboration of M.L. Cartwright and J.E. Littlewood in a
previous issue.

In 1948, the world's first stored-computer performed its first (dramatic) computation at the University of Manchester; this Spring, researchers gathered at Manchester to celebrate 50 years of progress in computers and numerical analysis

SIAM News31(7), September 1998.

The lead article in `SIAM News` **31**(7)
is a report on this conference, co-sponsored by the UK and
Republic of Ireland (UKIE) SIAM Section. Slides from some of the
talks and photographs are available at
`
http://www.ma.man.ac.uk/NAC98"`.

In `Notices of the American Mathematical Society`
**45**(9), October 1998, pages 1120-1123, John Guckenheimer
discusses the need
for a broadening in the scope of the mathematical
theories that provides the foundations for the analysis of
computer simulations. Many of the scientific problems that
computer simulation are increasingly been used for are not
readily modelled using the approach that has been so successful
in dealing with fluid mechanics. New mathematical theories are
required in order to ensure that these complex problems can be
tackled efficiently.

Guckenheimer discusses five issues that will present challenges to twenty-first century mathematics:

- First principles versus data driven models.
- Determinism versus indeterminism.
- Continuous versus discrete models.
- Special structure versus genericity.
- Complexity versus aggregation.

ABSTRACT.

The decimal expansion of real numbers, familiar to us all, has a dramatic generalization to representation of dynamical system orbits by symbolic sequences. The natural way to associate a symbolic sequence with an orbit is to track its history through a partition. But in order to get a useful symbolism, one needs to construct a partition with special properties. In this work we develop a general theory of representing dynamical systems by symbolic systems by means of so-called Markov partitions. We apply the results to one of the more tractable examples: namely, hyperbolic automorphisms of the two dimensional torus. While there are some results in higher dimensions, this area remains a fertile one for research.Roy L. Adler,

Bulletin (New Series) of the American Mathematical Society35(1), January 1998, 1-56.

ABSTRACT.

This is a report on recent work of Robert Ghrist in which he shows that universal templates exist. Put another way, there are many structurally stable flows in the 3-sphere, each of which has periodic orbits representing every knot type. This answers a question raised originally by Mo Hirsh and popularized by the contrary conjecture by John Birman and the present author.R.F. Williams,

Bulletin (New Series) of the American Mathematical Society35(2), April 1998, 145-156.

`Nonlinearity` now offers multimedia features to
authors. The
Paper "Bifurcations of periodic orbits with
spatio-temporal symmetries" by `A.M. Rucklidge` and
`M. Silber` published in
`Nonlinearity` **11**(5) includes two
animations (each in both Animated GIF and MPEG
formats) showing alternating rolls in 3-D compressible
magnetoconvection.

1185 | A renormalization group for Hamiltonians: numerical results. |

J.J. Abad, H. Koch and P. Wittwer
| |

1195 | Singular normal form for the Painlevé equation P1. |

O. Costin and R.D. Costin | |

1209 | Beyond the periodic orbit theory. |

P. Cvitanovi\'c, K. Hansen, J. Rolf
and G. Vattay | |

1233 | Bifurcation structures in maps of Hénon type. |

K.T. Hansen and P. Cvitanovi\'c | |

1263 | Ergodic structure and invariant densities of non-Markovian interval maps with indifferent fixed points. |

R. Zweim\"{u}ller | |

1277 | The Ginzburg--Landau equation III. Vortex dynamics. |

Yu N. Ovchinnikov and I.M. Sigal
| |

1295 | Long-time behaviour of Ginzburg--Landau vortices. |

Yu N. Ovchinnikov and I.M. Sigal | |

1311 | CP^{2} soliton scattering: the collective
coordinate approximation. |

J. Burzlaff and W.J. Zakrzewski | |

1321 | Anomalous transport in a model of Hamiltonian round-off. |

J.H. Lowenstein and F. Vivaldi | |

1351 | Random perturbations of chaotic dynamical systems: stability of the spectrum. |

M. Blank and G. Keller | |

1365 | Geometry of Kapitsa's potentials. |

M. Levi | |

1369 | Attractors for non-compact semigroups via energy equations. |

I. Moise, R. Rosa and Xiaoming Wang | |

1395 | Orbital measures in non-equilibrium statistical mechanics: the Onsager relations. |

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

1407 | Fronts and interfaces in bistable extended mappings. |

R. Coutinho and B. Fernandez | |

1435 | Bifurcations of periodic orbits with spatio-temporal symmetries. |

A.M. Rucklidge and M. Silber |

1457 | The two loop soliton solution of the Vakhnenko equation |

V.O. Vakhnenko and
E.J. Parkes | |

1465 | Nonlinear stability around an elliptic equilibrium point in a Hamiltonian system |

L. Niederman | |

1481 | Instability in Fermi--Ulam `ping-pong' problem |

V. Zharnitsky | |

1489 | Global existence and uniqueness for an optical fibre laser model |

A. Mielke, P. Holmes
and J.N. Kutz | |

1505 | Global study of a family of cubic Li\'enard equations |

A.I. Khibnik, B. Krauskopf
and C. Rousseau | |

1521 | Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians |

E. Horozov
and I.D. Iliev | |

1539 | Localized solutions in lattice systems and their bifurcations caused by spatial interactions |

L.A. Bunimovich and
D. Turaev | |

1547 | The numerical integration of relative equilibrium solutions. Geometric theory |

A. Duràn and J.M. Sanz-Serna | |

1569 | Resonances in a spring-pendulum: algorithms for equivariant singularity theory |

H.W. Broer, I. Hoveijn, G.A. Lunter
and G. Vegter | |

1607 | Billiard systems in three dimensions: the boundary integral equation and the trace formula |

M. Sieber | |

1625 | On the vanishing viscosity limit for the 2D incompressible Navier--Stokes equations with the friction type boundary conditions |

T. Clopeau, A Mikeli\'c
and R. Robert | |

1637 | Stability and persistence of relative equilibria at singular values of the moment map |

E. Lerman and S.F. Singer | |

1651 | Breathers in the weakly coupled topological discrete sine-Gordon system |

M. Haskins and J.M. Speight | |

1673 | Author index with titles |

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Last updated: 1st November 1998.