Amplification of noise in a cascade chemical reaction

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 5 1, 2004, Pages

  Shibata, Tatsuo ^a,b  

^a FRITZ HABER INSTITUT DER MAX PLANCK GESELLSCHAFT   (Germany)

^b HIROSHIMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; AMPLITUDE MODULATION; FOURIER TRANSFORMS; LYAPUNOV METHODS; OSCILLATIONS; PERTURBATION TECHNIQUES; STABILITY;

CHEMICAL OSCILLATIONS; GENE REGULATORY NETWORKS; LYAPUNOV EXPONENT; SIGNAL TRANSDUCTION;

CHEMICAL REACTIONS;

EID: 42749102580     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

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18. n(ω) in Eq. (30) are considered as a kind of generalized Lyapunov exponent. See Ref. [10].
19. Calculating Eq. (3) with Eq. (29) numerically, round-off errors also grow exponentially along the cascade. Thus, we used the Runge-Kutta method with quadruple precision real numbers in order to calculate the sufficiently large cascade. Here, the size of the cascade is n=120.