Quick search Find article
Quick search
Find article

Stable chaotic waves generated by hyperbolic PDEs

A V Babin-+ and L A Bunimovich++

Show affiliations


Recommended by R S MacKay

We study nonlinear wave equations. For some classes of potentials we prove the property of homotopy stability of these equations. This property allows us to construct an infinite collection of families of solutions characterized by complex spatial patterns that are preserved in the course of the dynamics. These classes correspond to elements of a fundamental group generated by a potential.


PACS

05.45.-a Nonlinear dynamics and nonlinear dynamical systems

02.30.Jr Partial differential equations

MSC

34K23 Complex (chaotic) behavior of solutions

35L55 Hyperbolic systems of higher-order PDE

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 4 (July 1996)

Received 17 April 1995, in final form 2 November 1995



  1. Stable chaotic waves generated by hyperbolic PDEs

    A V Babin and L A Bunimovich 1996 Nonlinearity 9 853

  2. Instabilities of twisted strings

    Péter Forgács and Árpád Lukács JHEP12(2009)064

  3. Multifractal fluctuations in earthquake-related geoelectrical signals

    Luciano Telesca et al 2005 New J. Phys. 7 214

  4. Na, Al, and O Abundances of Open Clusters NGC 7142, NGC 6939, and IC 4756

    Heather R. Jacobson et al. 2007 The Astronomical Journal 134 1216

  5. Stability of flux compactifications and the pattern of supersymmetry breaking

    Kiwoon Choi et al JHEP11(2004)076

  6. The tubular conical helix of graphitic boron nitride

    F F Xu et al 2003 New J. Phys. 5 118

  7. The non-equilibrium nature of culinary evolution

    Osame Kinouchi et al 2008 New J. Phys. 10 073020

  8. Long-distance quantum key distribution in optical fibre

    P A Hiskett et al 2006 New J. Phys. 8 193

  9. Coupling of evanescent s-polarized waves to the far field by waveguide modes in metallic arrays

    Marcelo Lester and Diana C Skigin 2007 J. Opt. A: Pure Appl. Opt. 9 81

  10. Causal structure of analogue spacetimes

    Carlos Barceló et al 2004 New J. Phys. 6 186

Users also read

What's this?
This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.

  1. Solvable nonlinear evolution PDEs in multidimensional space involving trigonometric functions
  2. Conditional symmetries and Riemann invariants for hyperbolic systems of PDEs

View by subject




Export






Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.