Chemical Oscillations out of Chemical Noise
نویسندگان
چکیده
منابع مشابه
Chemical Oscillations out of Chemical Noise
The dynamics of one species chemical kinetics is studied. Chemical reactions are modelled by means of continuous time Markov processes whose probability distribution obeys a suitable master equation. A large deviation theory is formally introduced, which allows developing a Hamiltonian dynamical system able to describe the system dynamics. Using this technique we are able to show that the intri...
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Oscillating chemical reactions are common in biological systems and they also occur in artificial non-biological systems. Generally, these reactions are subject to random fluctuations in environmental conditions which translate into fluctuations in the values of physical variables, for example, temperature. We formulate a mathematical model for a nonisothermal minimal chemical oscillator contai...
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چکیده ندارد.
15 صفحه اولInternal noise coherent resonance for mesoscopic chemical oscillations: a fundamental study.
The effect of internal noise for a mesoscopic chemical oscillator is studied analytically in a parameter region outside, but close to, the supercritical Hopf bifurcation. By normal form calculation and a stochastic averaging procedure, we obtain stochastic differential equations for the oscillation amplitude r and phase theta that is solvable. Noise-induced oscillation and internal noise cohere...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Dynamical Systems
سال: 2011
ISSN: 1536-0040
DOI: 10.1137/100814755