Robustness of the Noise-Induced Phase Synchronization<? format?> in a General Class of Limit Cycle Oscillators

J Teramae, D Tanaka - Physical review letters, 2004 - APS
We show that a wide class of uncoupled limit-cycle oscillators can be in-phase synchronized
by common weak additive noise. An expression of the Lyapunov exponent is analytically …

Green's functions and first passage time distributions for dynamic instability of microtubules

DJ Bicout - Physical Review E, 1997 - APS
It is shown that the dynamic instability process describing the self-assembly and/or
disassembly of microtubules is a continuous version of a variant of persistent random walks …

Asymptotic power law of moments in a random multiplicative process with weak additive noise

H Nakao - Physical review E, 1998 - APS
It is well known that a random multiplicative process with weak additive noise generates a
power-law probability distribution. It has recently been recognized that this process exhibits …

Low-frequency noise controls on-off intermittency of bifurcating systems

S Aumaître, F Pétrélis, K Mallick - Physical review letters, 2005 - APS
A bifurcating system subject to multiplicative noise can display on-off intermittency. Using a
canonical example, we investigate the extreme sensitivity of the intermittent behavior to the …

Subcritical jump probability and anomalous order parameter autocorrelations

FK Diakonos, YF Contoyiannis… - Europhysics Letters, 2022 - iopscience.iop.org
We study the magnetization dynamics in finite 2D and 3D Ising lattices of size N for
temperatures T just below the pseudo-critical temperature T pc (N) when the free energy, as …

Synchrony of neural oscillators induced by random telegraphic currents

K Nagai, H Nakao, Y Tsubo - Physical Review E—Statistical, Nonlinear, and …, 2005 - APS
When a neuron receives a randomly fluctuating input current, its reliability of spike
generation improves compared with the case of a constant input current [Mainen and …

Effects of the low frequencies of noise on on–off intermittency

S Aumaître, K Mallick, F Pétrélis - Journal of statistical physics, 2006 - Springer
A bifurcating system subject to multiplicative noise can exhibit on–off intermittency close to
the instability threshold. For a canonical system, we discuss the dependence of this …

Intermittency in spin-wave instabilities

J Becker, F Rödelsperger, T Weyrauch, H Benner… - Physical Review E, 1999 - APS
The dynamics of the magnetization of yttrium iron garnet spheres was studied by
ferromagnetic resonance both within the subsidiary absorption regime and the coincidence …

On-off intermittency in an optically injected semiconductor laser

S Osborne, A Amann, D Bitauld, S O'Brien - Physical Review E—Statistical …, 2012 - APS
We report on the observation of on-off intermittency in an optically injected dual-mode
semiconductor laser. It is shown that quasi-single-mode chaotic dynamics of the injected …

Anomalous spatio-temporal chaos in a two-dimensional system of nonlocally coupled oscillators

H Nakao - Chaos: An Interdisciplinary Journal of Nonlinear …, 1999 - pubs.aip.org
A two-dimensional system of nonlocally coupled complex Ginzburg–Landau oscillators is
investigated numerically for the first time. As previously shown for the one-dimensional case …