Dimensional characteristics of diffusion chaos

Automatic Control and Computer Sciences ◽

10.3103/s0146411613070031 ◽

2013 ◽

Vol 47 (7) ◽

pp. 452-469 ◽

Author(s):

S. D. Glyzin

Keyword(s):

Diffusion Chaos

Download Full-text

Finite-dimensional models of diffusion chaos

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542510050076 ◽

2010 ◽

Vol 50 (5) ◽

pp. 816-830 ◽

Author(s):

S. D. Glyzin ◽

A. Yu. Kolesov ◽

N. Kh. Rozov

Keyword(s):

Finite Dimensional ◽

Diffusion Chaos ◽

Dimensional Models

Download Full-text

Some new approaches to the solution of the diffusion chaos problem

Computational Mathematics and Modeling ◽

10.1007/s10598-010-9072-8 ◽

2010 ◽

Vol 21 (3) ◽

pp. 308-319

Author(s):

Keyword(s):

New Approaches ◽

Diffusion Chaos

Download Full-text

Diffusion Chaos in Reaction – Diffusion Boundary Problem in the Dumbbell Domain

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2013-3-43-57 ◽

2015 ◽

Vol 20 (3) ◽

pp. 43-57

Author(s):

S. D. Glyzin ◽

P. L. Shokin

Keyword(s):

Boundary Problem ◽

Reaction Diffusion ◽

Diffusion Boundary ◽

Diffusion Chaos

Download Full-text

Traveling Waves, Impulses and Diffusion Chaos in Excitable Media

Journal of Applied Nonlinear Dynamics ◽

10.5890/jand.2012.07.002 ◽

2012 ◽

Vol 1 (4) ◽

pp. 407-412

Author(s):

T.V. Karamysheva ◽

N.A. Magnitskii

Keyword(s):

Traveling Waves ◽

Excitable Media ◽

Diffusion Chaos ◽

Download Full-text

Transition to Diffusion Chaos in a Model of a “Predator–Prey” System with a Lower Threshold for the Prey Population

Differential Equations ◽

10.1134/s0012266120050122 ◽

2020 ◽

Vol 56 (5) ◽

pp. 671-675

Author(s):

T. V. Karamysheva ◽

N. A. Magnitskii

Keyword(s):

Lower Threshold ◽

Prey Population ◽

Predator Prey ◽

Prey System ◽

Diffusion Chaos

Download Full-text

Traveling waves, impulses and diffusion chaos in excitable media

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2013.09.033 ◽

2014 ◽

Vol 19 (6) ◽

pp. 1742-1745 ◽

Author(s):

T.V. Karamysheva ◽

N.A. Magnitskii

Keyword(s):

Traveling Waves ◽

Excitable Media ◽

Diffusion Chaos ◽

Download Full-text

Passage to diffusion chaos in a model of an ecological system

Differential Equations ◽

10.1134/s0012266112110055 ◽

2012 ◽

Vol 48 (11) ◽

pp. 1477-1482

Author(s):

T. V. Karamysheva ◽

N. A. Magnitskii

Keyword(s):

Ecological System ◽

Diffusion Chaos

Download Full-text

Diffusion chaos in the Lotke-Volterra stochastic model

Theoretical and Experimental Chemistry ◽

10.1007/bf01392182 ◽

1988 ◽

Vol 24 (1) ◽

pp. 1-7 ◽

Author(s):

V. N. Kuzovkov

Keyword(s):

Stochastic Model ◽

Diffusion Chaos

Download Full-text

Relaxation oscillations and diffusion chaos in the Belousov reaction

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542511080100 ◽

2011 ◽

Vol 51 (8) ◽

pp. 1307-1324 ◽

Author(s):

S. D. Glyzin ◽

A. Yu. Kolesov ◽

N. Kh. Rozov

Keyword(s):

Relaxation Oscillations ◽

Diffusion Chaos ◽

And Diffusion ◽

Belousov Reaction

Download Full-text

Dimensional Characteristics of Diffusion Chaos

Modeling and Analysis of Information Systems ◽

10.18255/1818-1015-2013-1-30-51 ◽

2015 ◽

Vol 20 (1) ◽

pp. 30-51 ◽

Author(s):

S. D. Glyzin

Keyword(s):

Dynamical System ◽

Diffusion Coefficient ◽

Lyapunov Dimension ◽

Diffusion Chaos

The phenomenon of multimode diffusion chaos is considered. For a number of examples it is shown that the Lyapunov dimension of the attractor of a distributed dynamical system increases as the diffusion coefficient tends to 0.

Download Full-text