Asymptotic Phase and Amplitude for Classical and Semiclassical Stochastic Oscillators via Koopman Operator Theory

A Random Dynamical Systems Perspective on Isochronicity for Stochastic Oscillations

(2021) Maximilian Engel et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Existence and uniqueness of global Koopman eigenfunctions for stable fixed points and periodic orbits

(2021) Matthew D. Kvalheim et al.   PHYSICA D-NONLINEAR PHENOMENA

A Partial Differential Equation for the Mean--Return-Time Phase of Planar Stochastic Oscillators

(2020) Alexander Cao et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Phase sensitivity for coherence resonance oscillators

(2020) Jinjie Zhu   NONLINEAR DYNAMICS

On the concept of dynamical reduction: the case of coupled oscillators

(2019) Yoshiki Kuramoto et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Optimal phase control of biological oscillators using augmented phase reduction

(2018) Bharat Monga et al.   BIOLOGICAL CYBERNETICS

Phase reduction and phase-based optimal control for biological systems: a tutorial

(2018) Bharat Monga et al.   BIOLOGICAL CYBERNETICS

Global computation of phase-amplitude reduction for limit-cycle dynamics

(2018) A. Mauroy et al.   CHAOS

Phase oscillator model for noisy oscillators

(2017) Michele Bonnin   European Physical Journal-Special Topics

Amplitude and phase dynamics of noisy oscillators

(2016) Michele Bonnin   INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS

Genuine Quantum Signatures in Synchronization of Anharmonic Self-Oscillators

(2016) Niels Lörch et al.   PHYSICAL REVIEW LETTERS

Phase reduction approach to synchronisation of nonlinear oscillators

(2015) Hiroya Nakao   CONTEMPORARY PHYSICS

Asymptotic Phase for Stochastic Oscillators

(2014) Peter J. Thomas et al.   PHYSICAL REVIEW LETTERS

Isostables, isochrons, and Koopman spectrum for the action–angle representation of stable fixed point dynamics

(2013) A. Mauroy et al.   PHYSICA D-NONLINEAR PHENOMENA

Quantum Synchronization of Quantum van der Pol Oscillators with Trapped Ions

(2013) Tony E. Lee et al.   PHYSICAL REVIEW LETTERS

Phase Description of Stochastic Oscillations

(2013) Justus T. C. Schwabedal et al.   PHYSICAL REVIEW LETTERS

Optimal Waveform for Fast Entrainment of Weakly Forced Nonlinear Oscillators

(2013) Anatoly Zlotnik et al.   PHYSICAL REVIEW LETTERS

On the use of Fourier averages to compute the global isochrons of (quasi)periodic dynamics

(2012) A. Mauroy et al.   CHAOS

Finding the dimension of slow dynamics in a rhythmic system

(2011) S. Revzen et al.   Journal of the Royal Society Interface

Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise

(2010) Hiroya Nakao et al.   CHAOS

Dynamics of Limit-Cycle Oscillators Subject to General Noise

(2010) Denis S. Goldobin et al.   PHYSICAL REVIEW LETTERS

Stochastic Phase Reduction for a General Class of Noisy Limit Cycle Oscillators

(2009) Jun-nosuke Teramae et al.   PHYSICAL REVIEW LETTERS