- Tytuł:
- Coloured-noise-induced transitions in nonlinear structures
- Autorzy:
-
Mankin, R.
Laas, T.
Soika, E.
Sauga, A.
Rekker, A.
Ainsaar, A.
Ugaste, U. - Powiązania:
- https://bibliotekanauki.pl/articles/147752.pdf
- Data publikacji:
- 2008
- Wydawca:
- Instytut Chemii i Techniki Jądrowej
- Tematy:
-
non-equilibrium fluctuations
coloured-noise-induced transitions
mean-field approximation
Hopf bifurcation
stochastic Lotka-Volterra system - Opis:
- In a stochastic framework, macroscopic approaches are sought to describe microscopic interaction between different species. Coloured-noise-induced transitions in stochastic N-species Lotka-Volterra systems are considered analytically as an appropriate model extendable to many natural and nano-technological processes. All the results discussed are computed by means of a dynamical mean-field approximation. It is demonstrated that interplay of coloured noise and interaction intensities of species can generate a variety of cooperation effects, such as discontinuous transitions of the mean population density, noise-induced Hopf bifurcations and relaxation oscillation. The necessary conditions for the cooperation effects are also discussed. Particularly, it is established that, in the case of the Beddington functional response, in certain parameter regions of the model an increase in noise correlation time can cause multiple transitions (more than two) between relaxation oscillatory regimes and equilibrium states.
- Źródło:
-
Nukleonika; 2008, 53, 3; 127-134
0029-5922
1508-5791 - Pojawia się w:
- Nukleonika
- Dostawca treści:
- Biblioteka Nauki
Artykuł