57 citations · 124 across the 8 of their papers we have counts for
3 papers · 1 filter
The stabilizing role of multiplicative noise in non-confining potentials
Ewan T. Phillips, Benjamin Lindner, Holger Kantz
We provide a simple framework for the study of parametric (multiplicative) noise, making use of scale parameters. We show that for a large class of stochastic differential equation…
Phase-Amplitude Description of Stochastic Oscillators: A Parameterization Method Approach
Alberto Pérez-Cervera, Benjamin Lindner, Peter J. Thomas
The parameterization method (PM) provides a broad theoretical and numerical foundation for computing invariant manifolds of dynamical systems. PM implements a change of variables i…
The noise intensity of a Markov chain
Lukas Ramlow, Benjamin Lindner
Stochastic transitions between discrete microscopic states play an important role in many physical and biological systems. Often, these transitions lead to fluctuations on a macros…