The effect of noise on phase synchronization in small sets and larger populations of weakly coupled chaotic oscillators is explored. Both independent and correlated noise are found to enhance phase synchronization of two coupled chaotic oscillators below the synchronization threshold; this is in contrast to the behavior of two coupled periodic oscillators. This constructive effect of noise resu...

Abstract A rich repertoire of oscillatory signals is detected from human brains with electro- and magnetoencephalography (EEG/MEG). However, the principles underwriting coherent oscillations their link neural activity remain under debate. Here, we revisit mechanistic hypothesis that transient brain rhythms are a signature metastable synchronization, occurring at reduced collective frequencies d...

Insects inhabiting the temperate zones measure seasonal changes in day or night length to enter the overwintering diapause. Diapause induction occurs after the duration of the night exceeds a critical night length (CNL). Our understanding of the time measurement mechanisms is continuously evolving subsequent to Bünning's proposal that circadian systems play the clock role in photoperiodic time ...

Quantum harmonic oscillators are central to many modern quantum technologies. We introduce a method determine the frequency noise spectrum of oscillator modes through coupling them qubit with continuously driven qubit-state-dependent displacements. reconstruct using series different drive phase and amplitude modulation patterns in conjunction data-fusion routine based on convex optimization. ap...

Recent experiments [1] on two–frequency parametrically excited surface waves exhibit an intriguing “superlattice” wave pattern near a codimension–two bifurcation point where both subharmonic and harmonic waves onset simultaneously, but with different spatial wavenumbers. The superlattice pattern is synchronous with the forcing, spatially periodic on a large hexagonal lattice, and exhibits small...

Abstract Droplet bouncing on special wettability surface is common and important in daily life engineering applications (anti‐icing drag reduction, etc.). However, there are few studies the multiple droplets impact a lack of systematic research interaction oscillation bounce. Here, porous superhydrophobic bionic lotus studied by high‐speed camera system. On (Surf‐1), an impacting droplet can me...

In this paper we revisit the quantum damped harmonic oscillator and construct an interesting approximate solution in the operator algebra level. Namely, we first give the general solution to the Lindblad form (equation) and next construct an approximate solution to the full equation by use of it. Our method is a milestone to construct the general solution. In this paper we revisit dynamics of a...

with t t t j ε ε ε Im Re + = , where } {Re t ε and } {Im t ε are independent real Gaussian white noise processes each with zero mean and variance 2 2 σ . These processes have been widely used to model the noise component in data models consisting of a deterministic signal and an additive noise. The pure harmonic signal, the damped harmonic signal, and the polynomial phase signal can be given as...