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On the Lyapunov Exponent of Monotone Boolean Networks

Institute for Systems Biology, Seattle, WA 98103, USA
Mathematics 2020, 8(6), 1035; https://doi.org/10.3390/math8061035
Received: 8 June 2020 / Revised: 20 June 2020 / Accepted: 23 June 2020 / Published: 24 June 2020
(This article belongs to the Special Issue Boolean Networks Models in Science and Engineering)
Boolean networks are discrete dynamical systems comprised of coupled Boolean functions. An important parameter that characterizes such systems is the Lyapunov exponent, which measures the state stability of the system to small perturbations. We consider networks comprised of monotone Boolean functions and derive asymptotic formulas for the Lyapunov exponent of almost all monotone Boolean networks. The formulas are different depending on whether the number of variables of the constituent Boolean functions, or equivalently, the connectivity of the Boolean network, is even or odd. View Full-Text
Keywords: lyapunov exponent; monotone boolean function; boolean network lyapunov exponent; monotone boolean function; boolean network
MDPI and ACS Style

Shmulevich, I. On the Lyapunov Exponent of Monotone Boolean Networks . Mathematics 2020, 8, 1035.

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