Nonlinear threshold Boolean automata networks and phase transitions

Preprint English OPEN
Demongeot, Jacques; Sené, Sylvain;
(2010)
  • Publisher: HAL CCSD
  • Subject: [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] | [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] | Computer Science - Discrete Mathematics | [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] | Nonlinear Sciences - Cellular Automata and Lattice Gases | Mathematics - Dynamical Systems | [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]

In this report, we present a formal approach that addresses the problem of emergence of phase transitions in stochastic and attractive nonlinear threshold Boolean automata networks. Nonlinear networks considered are informally defined on the basis of classical stochasti... View more
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