Transition to doubly diffusive chaos

Decay results in a doubly diffusive problem

Sampling diffusive transition paths.

The authors address the problem of sampling double-ended diffusive paths. The ensemble of paths is expressed using a symmetric version of the Onsager-Machlup formula, which only requires evaluation of the force field and which, upon direct time discretization, gives rise to a symmetric integrator that is accurate to second order. Efficiently sampling this ensemble requires avoiding the well-kno...

Title Sampling diffusive transition paths

Transition to chaos in random neuronal networks

Firing patterns in the central nervous system often exhibit strong temporal irregularity and considerable heterogeneity in time averaged response properties. Previous studies suggested that these properties are outcome of the intrinsic chaotic dynamics of the neural circuits. Indeed, simplified rate-based neuronal networks with synaptic connections drawn from Gaussian distribution and sigmoidal...

Subhap~4onics and the Transition to Chaos

We all know that a sinusoidally driven system will respond both at the frequency of the drive and at harmonics of the driving frequency. Physicists are now becoming accustomed to the notion that a driven system can also respond at subharmonics of the driving frequency. This is not a recent discovery. Over 150 years ago Michael Faraday I observed a system responding at one half the frequency of ...