Concepts, methods and techniques of statistical physics in the study of correlated, as well as uncorrelated, phenomena are being applied ever increasingly in the natural sciences …
In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems …
B Cessac - International Journal of Bifurcation and Chaos, 2010 - World Scientific
We present some recent investigations resulting from the modeling of neural networks as dynamical systems, and deal with the following questions, adressed in the context of specific …
This survey of experimental findings and theoretical insights of the past 25 years places the brain firmly into the conceptual framework of nonlinear dynamics, operating at the brink of …
R Frigg - Studies in History and Philosophy of Science Part A, 2003 - Elsevier
The last decade and a half has seen an ardent development of self-organised criticality (SOC), a new approach to complex systems, which has become important in many domains …
H Qian - Journal of Physics: Condensed Matter, 2005 - iopscience.iop.org
An integration of the stochastic mathematical models for motor proteins with Hill's steady state thermodynamics yields a rather comprehensive theory for molecular motors as open …
SB Yurchenko - Frontiers in integrative neuroscience, 2022 - frontiersin.org
There are now dozens of very different theories of consciousness, each somehow contributing to our understanding of its nature. The science of consciousness needs …
B Cessac - Journal of Mathematical Biology, 2008 - Springer
We derive rigorous results describing the asymptotic dynamics of a discrete time model of spiking neurons introduced in Soula et al.(Neural Comput. 18, 1, 2006). Using symbolic …
B Cessac, T Viéville - Frontiers in computational neuroscience, 2008 - frontiersin.org
We present a mathematical analysis of a networks with Integrate-and-Fire neurons with conductance based synapses. Taking into account the realistic fact that the spike time is only …