3 papers
math.PR2025
-functions, synchronization, and Arnold tongues for coupled stochastic oscillators
Max Kreider, Benjamin Lindner, Peter J. Thomas
Phase reduction is an effective theoretical and numerical tool for studying synchronization of coupled deterministic oscillators. Stochastic oscillators require new definitions of…
math.DS2024
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…
math-ph2024
Generalized dynamical phase reduction for stochastic oscillators
Pierre Houzelstein, Peter J. Thomas, Benjamin Lindner +2
Phase reduction is an important tool for studying coupled and driven oscillators. The question of how to generalize phase reduction to stochastic oscillators remains actively debat…