- Web Pages for Nonlinear Journals and Newsletters.
- Article: Developments in Chaotic Dynamics.
- New issue of Dynamic Notes.
- NONLINEARITY Contents list:
Volume
**12**(4), July 1999.

Lai-Sang Young has written a review aimed at a general mathematics community of some of the developments since the 1960s in the subject of hyperbolic dynamics, using billiards and Hénon attractors as illustrative examples.

"This article is about nonuniformly hyperbolic systems, with emphasis on their ergodic theory. I would like to focus on the following two directions of progress: the development of a general theory and the applications of hyperbolic techniques to specific examples. I will select two sample results from each one of these directions and discuss some of the ideas behind the theorems. The two applications that I have chosen are billiards and Hénon attractors. For the general theory part, my two topics are (1) Lyapunov exponents, entropy, and dimension; and (2) correlation decay and central limit theorem."

`Notices of the American Mathematical Society`,
**45**, Number 10, November 1988, pages 1318-1328.

The SIAM Activity Group on Dynamical Systems has released
`Dynamics Notes` Volume **1999.01**.
The issue has not yet appeared on the Group's infrequently used
Web Pages.

741 | P. Ashwin, I. Melbourne and M. Nicol |

Drift bifurcations of relative equilibria and transitions of spiral waves | |

757 | G.E. Roberts |

Spectral instability of relative equilibria in the planar
n-body problem | |

771 | C.E. Elmer and E.S. Van Vleck |

Analysis and computation of travelling wave solutions of bistable differential-difference equations | |

799 | K. Yagasaki |

The method of Melnikov for perturbations of multi-degree-of-freedom Hamiltonian systems | |

823 | D. Bambusi |

On long time stability in Hamiltonian perturbations of non-resonant linear PDEs | |

851 | N.S. Manton and S.M. Nasir |

Conservation laws in a first-order dynamical system of vortices | |

867 | Y. Brihaye and T.N. Tomaras |

The Goldstone model static solutions on
S^{1} | |

877 | K.J. Falconer |

Generalized dimensions of measures on self-affine sets | |

893 | J.C. Martín |

Hopf bifurcations and homoclinic tangencies | |

903 | R. Martínez and C. Simó |

Simultaneous binary collisions in the planar four-body problem | |

931 | R. Halburd |

Integrable relativistic models and the generalized Chazy equation | |

939 | P. Cvitanovi\'c, C.P. Dettmann, R. Mainieri and G. Vattay |

Trace formulae for stochastic evolution operators: smooth conjugation = method | |

955 | P.R. Gordoa, N. Joshi and A. Pickering |

Mappings preserving locations of movable poles: a new extension of the truncation method to ordinary differential equations | |

969 | S. Slijep\v{c}evi\'{c} |

Monotone gradient dynamics and Mather's shadowing | |

987 | M.A. Singer and P.M. Sutcliffe |

Symmetric instantons and Skyrme fields | |

1005 | P.J. Rippon and G.M. Stallard |

Families of Baker domains: I | |

1013 | M. Blinov and Y. Yomdin |

Generalized centre conditions and multiplicities for polynomial Abel equations of small degrees | |

1029 | G. Froyland |

Ulam's method for random interval maps | |

1053 | E.J. Beggs and P.R. Johnson |

Loop groups and the symplectic form for solitons in integrable theories | |

1071 | M.P. Brenner, P. Constantin, L.P. Kadanoff, A. Schenkel and S.C. Venkataramani |

Diffusion, attraction and collapse | |

1099 | C. Christopher and S. Lynch |

Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces | |

1113 | T. Harayama, A. Shudo and S. Tasaki |

Semiclassical Fredholm determinant for strongly chaotic billiards | |

1151 | Yi Wang, Ling Yang and Huimin Xie |

Complexity of unimodal maps with aperiodic kneading sequences | |

1177 | A. Algaba, E. Freire, E. Gamero and A.J. Rodríguez-Luis |

A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation | |

1207 | G. Yuan and B.R. Hunt |

Optimal orbits of hyperbolic systems | |

1225 | P. Collet, A. Galves and B. Schmitt |

Repetition times for Gibbsian sources |

<< Move to

Last updated: 28th July 1999.