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  1. Computational Mathematics and Mathematical Physics
  2. Computational Mathematics and Mathematical Physics : Volume 49
  3. Computational Mathematics and Mathematical Physics : Volume 49, Issue 4, April 2009
  4. Features of the dynamics of nonlinear waves in plane domains
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Computational Mathematics and Mathematical Physics : Volume 57
Computational Mathematics and Mathematical Physics : Volume 56
Computational Mathematics and Mathematical Physics : Volume 55
Computational Mathematics and Mathematical Physics : Volume 54
Computational Mathematics and Mathematical Physics : Volume 53
Computational Mathematics and Mathematical Physics : Volume 52
Computational Mathematics and Mathematical Physics : Volume 51
Computational Mathematics and Mathematical Physics : Volume 50
Computational Mathematics and Mathematical Physics : Volume 49
Computational Mathematics and Mathematical Physics : Volume 49, Issue 12, December 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 11, November 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 10, October 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 9, September 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 8, August 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 7, July 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 6, June 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 5, May 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 4, April 2009
Low-rank perturbations of symmetric matrices and their condensed forms under unitary congruences
Acceleration of the convergence of the Laguerre series in the problem of inverting the Laplace transform
An iterative method for minimizing a convex nonsmooth function on a convex smooth surface
Impulse control of temperature in a free convection model
General nonlinear self-adjoint eigenvalue problem for systems of ordinary differential equations
Features of the dynamics of nonlinear waves in plane domains
Parametric continuation of the solitary traveling pulse solution in the reaction-diffusion system using the Newton-Krylov method
Blowup of the solution to a nonlinear system of Sobolev-type equations
An adaptive LSMFE method for Burgers equations
Mortar method for matching grids in a mixed scheme as applied to the biharmonic equation
New fourth-order splitting methods for two-dimensional evolution equations
Splitting algorithms as applied to the Navier-Stokes equations
About one system of integral equations in kinetic theory
Ray expansions of solutions around fronts as a shock-fitting tool for shock loading simulation
A minimum-stencil difference scheme for computing two-dimensional axisymmetric gas flows: Examples of pulsating flows with instabilities
Numerical stability analysis of the Taylor-Couette flow in the two-dimensional case
Computational Mathematics and Mathematical Physics : Volume 49, Issue 3, March 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 2, February 2009
Computational Mathematics and Mathematical Physics : Volume 49, Issue 1, January 2009
Computational Mathematics and Mathematical Physics : Volume 48
Computational Mathematics and Mathematical Physics : Volume 47
Computational Mathematics and Mathematical Physics : Volume 46

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Features of the dynamics of nonlinear waves in plane domains

Content Provider Springer Nature Link
Author Kolesov, Yu. S. Khar’kov, A. E.
Copyright Year 2009
Abstract An analysis of the dynamics of three-dimensional nonlinear waves on a torus has shown that their attractors are the so-called self-organization regimes, which are created from trajectories crowding together and have several remarkable features. Specifically, they are well ordered with respect to spatial and time variables, and their energy is fairly high and decreases gradually with decreasing elasticity coefficient, which itself evolves into a diffusion chaos. The role of this paper is twofold. First, the features of self-organization regimes are analyzed in the case of Neumann boundary conditions. Second, the stages leading to the detection of this phenomenon are described in detail.
Starting Page 606
Ending Page 622
Page Count 17
File Format PDF
ISSN 09655425
Journal Computational Mathematics and Mathematical Physics
Volume Number 49
Issue Number 4
e-ISSN 15556662
Language English
Publisher SP MAIK Nauka/Interperiodica
Publisher Date 2009-04-29
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword multiplicity of the spectrum of the Laplacian quasi-normal form Galerkin method self-organization regimes and their energy Computational Mathematics and Numerical Analysis
Content Type Text
Resource Type Article
Subject Computational Mathematics
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