UK Nonlinear News, November 1999.


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New Journal: International Journal of Nonlinear Science and Numerical Simulation

Editorial Policy

The 19th century was the century of Newton, the present century is the century of Einstein, and the coming century will be of nonlinear sciences. Nonlinear phenomena appear everywhere in our daily life and our scientifical works, and represent one of the most important fields of research in science and technology. However, it is still very difficult to solve a nonlinear problem, either numerically or theoretically, and even more difficult to establish a real model for the nonlinear problem. Many assumptions have to be made to make practical engineering problems solvable, leading to loss of information. One of our chief aims is to establish more reasonable nonlinear models for practical engineering problems, social science, the economical sciences and so on, which are of interest to a large readership. The highest priority will given to contributions concerned with the application of variational theory to deduce field equations and boundary/initial conditions, and inverse or hybrid problems of identification of optimal airfoils, cascades and channels with most possible engineering application in 20th century.

The second aim of the journal is to provide a specific medium for the dissemination of research results in various nonlinear analytical methods to find approximate solutions which reveal the main physical understanding and can guide engineers to further experimental works. We are interested in approximate solutions with physical understanding, and we will not accept manuscripts which are of purely mathematical character. Special attention is put on the contributions of new approaches to strongly nonlinear systems though the methods might have still some shortcomings, and some mathematical theories (such as convergence theory ) are left space for mathematician.

Our last important aim is the numerical solution to the nonlinear problems. However, we can not accepted papers dealing with only numerical solution without comparison to experiment results or known results . We hope that the numerical solutions will reveal new phenomena that other methods can not find.

The journal will only publish original contributions, preferably not longer than 10 printed pages, from the entire field of nonlinear sciences and their applications. Survey articles on important issues are only invited by the editors.

Aims and Scope

The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. But manuscripts with purely mathematical characters or without possible exciting applications will not be published.. The highest priority will be given to papers discussing the background of practical problem, the establishment of an appropriate nonlinear model, the determination of a solution, approximate or exact, analytical or numerical, and a discussion of the relevance of the results when applied to the real-life problem.

The following manuscripts are encouraged:

  1. New nonlinear model for a real-life problem with possible exciting applications;
  2. New analytical techniques for new nonlinear problems with physical understanding;
  3. Numerical simulation revealing the possible hidden pears in nonlinear sciences.
Although the journal concentrates mainly on the applications side, review articles dealing with establishment of nonlinear models, new numerical or analytical techniques, with potential for wider application to real-life problems, are invited by the Editor, and will be published from time to time.

Editor in Chief: Ji-Huan He (
149 Yanchang Road
Shanghai Institute of Applied Mathematics and Mechanics
Shanghai University
P.O. Box 189
Shanghai 200072

Source: Gao-Lian Liu (

Dynamics Notes Volume 1999 Number 2 released

The SIAM Activity Group on Dynamical Systems has released Dynamics Notes Volume 1999.02. The issue is not mentioned on the group's SIAM web page. Nor is it available on the Group's defunct Web Pages.

It's possible that you find out more by sending an email to

Special issue of International Journal of Bifurcation and Chaos on: Control and Synchronization of Chaotic Systems (March/April 2000)

Guanrong Chen University of Houston, Texas, USA
Maciej J. Ogorzalek University of Mining and Metallurgy, Krakow, Poland

[0] Editorial (G.Chen and M.J.Ogorzalek)

Tutorials and Overviews -

[1] G.Chen, J.L.Moiola and H.O.Wang:
    "Bifurcation control: Theories, methods, and applications"
[2] M.P.Kennedy, G.Kolumban and G.Kis:
    "Chaotic modulation for robust digital communications over
    multipath channels"
[3] M.Hasler and T.Schimming:
   "Chaos communication over noisy channels"

Regular Papers -

[4] X.F.Wang and G.Chen:
    "Chaotification via arbitrarily small feedback controls"
[5] I.B.Schwartz and I.Triandaf:
    "Tracking sustained chaos"
[6] T.L.Vincent and A.I.Mees:
    "Controlling a bouncing ball"
[7] W.L.Ditto, M.Spano, et al.:
    "Control of human atrial fibrillation"
[8] M.E.Bleich and J.E.S.Socolar:
    "Delay feedback control of a paced excitable oscillator"
[9] Y.P.Tian and X.Yu:
    Stabilizing unstable periodic orbits of chaotic systems with
    unknown parameters"
[10] A.Fradkov, P.Guzenko and A.Pavlov:
     "Adaptive control of recurrent trajectories based on linearization
     of Poincare map"
[11] L.Giovanardi, M.Basso, R.Genesio and A.Tesi:
     "Lower bounds for the stability degree of periodic solutions
     in forced nonlinear systems"
[12] J.H.Xiao, G.Hu and J.H.Gao:
     "Turbulence control and synchronization and controllable
     pattern formation"
[13] N.P.Chau and D.Mestivier:
     "Stabilizing effect of a local defect on chaotic dynamics"
[14] L.A.Aguirre and L.A.B.Torres:
     "Control of nonlinear dynamics: where do models fit in?"
[15] Y.C.Lai and C.Grebogi:
     "Obstruction to deterministic modeling of chaotic systems with
     an invariant subspace"
[16] D.Dedieu and M.J.Ogorzalek:
     "Chaos-based signal processing"
[17] A.S.Dmitriev, G.A.Kassian and A.D.Khilinsky:
     "Chaotic synchronization: Information viewpoint"
[18] C.Cruz and H.Nijmeijer:
     "Synchronization through filtering"
[19] N.Sharma and E.Ott:
     Exploiting synchronization to combat channel distortions in
     communication with chaotic systems"
[20] Y.C.Lai:
     "Encoding digital information using transient chaos"
[21] J.A.K.Suykens and J.Vandewalle:
     "Chaos synchronization: A Lagrange programming network approach"
[22] Z.Galias:
     "Robustness of symbolic dynamics and synchronization properties"
[23] C.W.Wu:
     "Synchronization in arrays of chaotic circuits coupled via dynamic
     coupling elements"
[24] D.Maza, S.Boccaletti and H.Mancini:
     "phase clustering and collective behaviours in globally coupled
     map lattices due to mean field effects"
[25] J.N.Blakely and D.J.Gauthier:
     "Attractor bubbling in coupled hyperchaotic oscillators"
[26] V.Astakhov, A.Shabunin and V.Anishchenko:
     "Antiphase synchronization in symmetrically coupled self-oscillators"
[27] T.Yang and L.O.Chua:
     "Practical stability of impulsive synchronization between two
     nonautonomous chaotic systems"
[28] Z.Tasev, L.Junge, U.Parlitz and L.Kocarev:
     "Synchronization of Kuramoto-Sivashinsky equations using spatially
     local coupling"
[29] L.Pecora and T.Carroll:
     "Detecting chaotic drive-response geometry in generalized
[30] T.Endo, W.Ohno and Y.Ueda:
     "Explosion of strange attractors and crisis-induced intermittency
      from a forced phase-locked loop circuit: Theory and experiment"

Source: Guanrong Chen (

NONLINEARITY Contents list: Volume 12(5), September 1999

Pages: 1239-1448.
1239 Z. Gruji\'c
The role of spatial analyticity in the local alignment of vorticity directions in 3D viscous fluids
1247 J.D.E. Grant and I.A.B. Strachan
Hypercomplex integrable systems
1263 B.R. Hunt and V. Yu Kaloshin
Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces
1277 O.C. Wright
Near homoclinic orbits of the focusing nonlinear Schrödinger equation
1289 S. Galatolo
Pointwise information entropy for metric spaces
1299 À. Haro
Converse KAM theory for monotone positive symplectomorphisms
1323 T. Bogensch\"utz and G. Ochs
The Hausdorff dimension of conformal repellers under random perturbation
1339 A.A. Zevin
Global continuation of Lyapunov centre orbits in Hamiltonian systems
1351 H.E. Cabral and K.R. Meyer
Stability of equilibria and fixed points of conservative systems
1363 S.O. Kamphorst and S.P. de Carvalho
Bounded gain of energy on the breathing circle billiard
1373 J.M. Speight
Topological discrete kinks
1389 L. Almeida
Threshold transition energies for Ginzburg--Landau functionals
1415 A. de Bouard, N. Hayashi, P.I. Naumkin and J-C Saut
Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation
1427 A.J. Morrison, E.J. Parkes and V.O. Vakhnenko
The N loop soliton solution of the Vakhnenko equation
1439 J.J. Szczyrek
Hausdorff dimension of a limit set for a family of nonholomorphic perturbations of the map z \to z2

Source: Tami Freeman (

NONLINEARITY Contents list: Volume 12(6), November 1999

Pages: 1449-1724.
1449 J.P. Boyd and B. Tan
Composite bound states of wide and narrow envelope solitons in the coupled Schrodinger equations through matched asymptotic expansions
1471 L. Rondoni and E. Segre
Fluctuations in two-dimensional reversibly damped turbulence
1489 T. Weidig
The baby Skyrme models and their multi-skyrmions
1505 G. Menon
Gevrey class regularity for the attractor of the laser equations
1511 M. Baillif
Dynamical zeta functions for tree maps
1531 J. Hu and M. Yan
Singularity analysis for integrable systems by their mirrors
1545 M.D. Hirsch
Dense recurrence in area-preserving flows on surfaces
1555 M.A. Peletier
Non-existence and uniqueness results for fourth-order Hamiltonian systems
1571 E. Olivier
Multifractal analysis in symbolic dynamics and distribution of pointwise dimension for g-measures
1587 J. Poschel
On Nekhoroshev estimates for a nonlinear Schrodinger equation and a theorem by Bambusi
1601 G. Friesecke and R.L. Pego
Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit
1629 R.C. Littlewood
Hyperelliptic asymptotics of Painleve-type equations
1643 J. Tabor
Note on possible chaotic dynamics
1647 J.E. Marsden, S. Pekarsky and S. Shkoller
Discrete Euler--Poincare and Lie--Poisson equations
1663 V. Petkov
Analytic singularities of the dynamical zeta function
1683 D. Stoffer and K.J. Palmer
Rigorous verification of chaotic behaviour of maps using validated shadowing
1699 P. Bolle and B. Buffoni
Multibump homoclinic solutions to a centre equilibrium in a class of autonomous Hamiltonian systems
1717 A. Yu Kitaev
Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness
Author index with titles

Source: Tami Freeman (

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Last updated: 17th May 2000.