Stochastic analysis of a non-normal dynamical system mimicking a laminar-to-turbulent subcritical transition / Fedotov S,Bashkirtseva I,Ryashko L // PHYSICAL REVIEW E. - 2002. - V. 66, l. 6, 2.

ISSN/EISSN:

1539-3755 / нет данных

Type:

Article

Abstract:

The effects of stochastic perturbations on a non-normal dynamical system mimicking a laminar-to-turbulent subcritical transition are investigated both analytically and numerically. It is found that a nonlinear dynamical system with non-normal transient linear growth is very sensitive to the presence of weak random perturbations. The effect of non-normality on the exit probability from the zero fixed point is analyzed numerically for small values of the noise intensity parameter. It is found that an increase in the intensity of the noise, or a decrease of the non-normality parameter leads to qualitative changes in the behavior of the trajectories that can be interpreted as noise-induced phase transitions. By using the Ito formula and the adiabatic elimination procedure a stochastic equation governing the slow evolution of the energy of the non-normal system is derived.

Author keywords:

FRONT PROPAGATION; STABILITY; FLOWS; MODEL

DOI:

10.1103/PhysRevE.66.066310

Web of Science ID:

ISI:000180427100072

Соавторы в МНС:

Другие поля

Поле	Значение
Month	DEC
Publisher	AMER PHYSICAL SOC
Address	ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Language	English
Article-Number	066310
Keywords-Plus	FRONT PROPAGATION; STABILITY; FLOWS; MODEL
Research-Areas	Physics
Web-of-Science-Categories	Physics, Fluids \& Plasmas; Physics, Mathematical
ResearcherID-Numbers	Fedotov, Sergei/H-5880-2012
Number-of-Cited-References	18
Usage-Count-Since-2013	3
Journal-ISO	Phys. Rev. E
Doc-Delivery-Number	635YE