Lyapunov Exponents in Random Boolean Networks

Details Lyapunov Exponents in Random Boolean Networks Lyapunov Exponents in Random Boolean Networks

1999-06-30

arxiv.org/abs/adap-org/9907001v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

16 pages, 5 eps-figures included, article submitted to Physica A

Scientific paper

10.1016/S0378-4371(00)00184-9

A new order parameter approximation to Random Boolean Networks (RBN) is introduced, based on the concept of Boolean derivative. A statistical argument involving an annealed approximation is used, allowing to measure the order parameter in terms of the statistical properties of a random matrix. Using the same formalism, a Lyapunov exponent is calculated, allowing to provide the onset of damage spreading through the network and how sensitive it is to minimal perturbations. Finally, the Lyapunov exponents are obtained by means of different approximations: through distance method and a discrete variant of the Wolf's method for continuous systems.

Affiliated with

Also associated with

No associations

Rating

Lyapunov Exponents in Random Boolean Networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lyapunov Exponents in Random Boolean Networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lyapunov Exponents in Random Boolean Networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-462412