White and Coloured External Noise and Transition Phenomena in Nonlinear Systems

@inproceedings{Arnold2005WhiteAC,
  title={White and Coloured External Noise and Transition Phenomena in Nonlinear Systems},
  author={Lilian Arnold},
  year={2005}
}
The stability properties of non-equilibrium systems have become over the last decade a subject of widespread interest, primarily because of their implications for the understanding of cooperative phenomena in physics, chemistry, biology and even more remote fields [1-3]. Well-known examples of cooperative non-equilibrium systems are the laser [4,5], the Belousov-Zhabotinskii reaction [6], the B6nard instability [7], the glycolytic oscillations [8, 9] and the current instabilities of semi… CONTINUE READING

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-10 of 21 references

Stability of Systems with Random Parameters

Proceedings of the 45th IEEE Conference on Decision and Control • 2006
View 1 Excerpt

On the stability of the undamped oscillator +ft Y = 0 where ft is a positive stationary Markov process

W. Riimelin
Ph. D. Thesis. Bremen • 1978
View 1 Excerpt

On the stability and growth of real noise parameter-excited linear systems. In: K61zow, Kallianput

L. Arnold, V. Wihstutz
Proceedings of the Conference on Measure Theory and Stochastic Analysis, • 1977
View 1 Excerpt

Phys

G. Nicolis, R. Lefever
Lett. 62A, 469 • 1977
View 1 Excerpt

Selforganization in non-equilibrium systems

G. Nicolis, I. Prigogine
London-New York-Sydney-Toronto: Wiley • 1977
View 2 Excerpts

Z

W. Horsthemke, M. Malek-Mansour, L. Brenig
Physik B28, 135 • 1977

J

P. Fife
Chem. Phys. 64, 554 • 1976
View 1 Excerpt

The Belousov-Zhabotinskii Reaction

Lecture Notes in Biomathematics • 1976
View 1 Excerpt

Macroscopic theory of fluctuations and instabilities in optics and hydrodynamics in "Fluctuations, instabilities and phase transitions

R. Graham
ed. T. Riste • 1975
View 1 Excerpt

A general theory of elastic stability. London-New York-Sydney-Toronto

J.M.T. Thompson, G. W. Hunt
1973
View 1 Excerpt

Similar Papers

Loading similar papers…