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We study the parametric wave interaction in qua- dratic nonlinear media with randomized distribution of the ferroelectric domains. In particular, we discuss properties of second and cascaded third harmonic generation. We derive analytical…

Spiral waves are self-repeating waves that can form in excitable media, propagating outward from their center in a spiral pattern. Spiral waves have been observed in different natural phenomena and have been linked to medical conditions…

Cellular Automata and Lattice Gases · Physics 2020-08-11 Vincent Vangelista , Karl Amjad-Ali , Minhyeok Kwon , Paulo H. Acioli

Rotating spiral waves with a central core composed of phase-randomized oscillators can arise in reaction-diffusion systems if some of the chemical components involved are diffusion-free. This peculiar phenomenon is demonstrated for a…

Pattern Formation and Solitons · Physics 2009-11-10 Shin-ichiro Shima , Yoshiki Kuramoto

We study parametric resonance of interacting waves having the same wave vector and frequency. In addition to the well-known period-doubling instability we show that under certain conditions the instability is caused by a Hopf bifurcation…

patt-sol · Physics 2009-10-30 Franz-Josef Elmer

We study experimentally the dynamics and statistics of capillary waves forced by random steep gravity waves mechanically generated in laboratory. Capillary waves are produced here by gravity waves from nonlinear wave interactions. Using a…

Fluid Dynamics · Physics 2018-08-01 Michael Berhanu , Eric Falcon , Luc Deike

This paper summarises a numerical investigation of phase mixing in time-independent Hamiltonian systems that admit a coexistence of regular and chaotic phase space regions, allowing also for low amplitude perturbations idealised as periodic…

Astrophysics · Physics 2007-05-23 Henry E. Kandrup , Steven J. Novotny

We show that colliding vortex beams instead of (approximate) plane waves can lead to a direct measurement of how the overall phase of the plane wave scattering amplitude changes with the scattering angle. Since vortex beams are coherent…

High Energy Physics - Phenomenology · Physics 2012-04-13 I. P. Ivanov

It is shown that the copropagating three-wave-mixing parametric process, with appropriate type-II extended phase matching and pumped with a short second-harmonic pulse, can perform spectral phase conjugation and parametric amplification,…

Optics · Physics 2009-11-11 Mankei Tsang

Random Phase Approximation (RPA) provides a very convenient tool to study the ensembles of weakly interacting waves, commonly called Wave Turbulence. In its traditional formulation, RPA assumes that phases of interacting waves are random…

Mathematical Physics · Physics 2009-11-10 Yeontaek Choi , Yuri V. Lvov , Sergey Nazarenko

We investigate the decoherence dynamics of continuous variable entanglement as the system-environment coupling strength varies from the weak-coupling to the strong-coupling regimes. Due to the existence of localized modes in the…

Quantum Physics · Physics 2016-10-14 Yu-Chen Lin , Pei-Yun Yang , Wei-Min Zhang

We present the first experimental study on the simultaneous capillary instability amongst viscous concentric rings suspended atop an immiscible medium. The rings ruptured upon annealing, with three types of phase correlation between…

Soft Condensed Matter · Physics 2015-02-12 Zheng Zhang , G. C. Hilton , Ronggui Yang , Yifu Ding

We study bright solitary waves of three dimensional trapped Bose-Einstein condensates and their collisions. For a single solitary wave, in addition to an upper critical number, we also find a {\em lower} cut-off, below which no stable state…

Other Condensed Matter · Physics 2007-05-23 N. G. Parker , A. M. Martin , S. L. Cornish , C. S. Adams

The charge density wave system K_0.3MoO_3 has been studied using variable energy pump-probe spectroscopy, ellipsometry, and inelastic light scattering. The observed transient reflectivity response exhibits quite a complex behavior,…

Strongly Correlated Electrons · Physics 2009-11-11 D. M. Sagar , A. A. Tsvetkov , D. Fausti , S. van Smaalen , P. H. M. van Loosdrecht

A network of propagating nonlinear oscillatory modes (waves) in the human brain is shown to generate collectively synchronized spiking activity (hypersynchronous spiking) when both amplitude and phase coupling between modes are taken into…

Biological Physics · Physics 2021-04-28 Vitaly L. Galinsky , Lawrence R. Frank

Coherence between multiple low-frequency components latent in the flow fields characterizes the nonlinear aspects of fluid dynamics. This study reveals the existance of the distinct frequency components and their interaction relation of the…

Fluid Dynamics · Physics 2025-04-03 Yuto Nakamura , Shintaro Sato , Naofumi Ohnishi

In the modern theory of polarization, polarization itself is given by a geometric phase. In calculations for interacting systems the polarization and its variance are obtained from the polarization amplitude. We interpret this quantity as a…

Strongly Correlated Electrons · Physics 2019-02-20 Balázs Hetényi , Balázs Dóra

The propagation of compressional MHD waves is studied for an externally driven system. It is assumed that the combined action of the external sources and sinks of the entropy results in the harmonic oscillation of the entropy (and…

Astrophysics · Physics 2009-06-23 B. M. Shergelashvili , C. Maes , S. Poedts , T. V. Zaqarashvili

We study effects of the particle-wake interactions on the dispersion and polarization of dust lattice wave modes in two-dimensional plasma crystals. Most notably, the wake-induced coupling between the modes causes the branches to "attract"…

Plasma Physics · Physics 2015-06-17 Thomas Röcker , Alexei Ivlev , Sergey Zhdanov , Gregor Morfill

Three-mode parametric interactions can occur in triply-resonant opto-mechanical systems in which two orthogonal optical modes are coupled with an appropriate mechanical mode. Using an optical cavity with a membrane inside, we report the…

We study the properties of mode-mode interactions for waves propagating in nonlinear disordered one-dimensional systems. We focus on i) the localization volume of a mode which defines the number of interacting partner modes, ii) the overlap…

Disordered Systems and Neural Networks · Physics 2015-05-19 D. O. Krimer , S. Flach