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Coupled excitable systems can generate a variety of patterns. In this work, we investigate coupled Chialvo maps in two dimensions under two types of nearest-neighbor couplings. One coupling produces ringlike patterns, while the other…

Statistical Mechanics · Physics 2026-02-10 Divya D. Joshi , Trupti R. Sharma , Prashant M. Gade

A one species time-delay reaction-diffusion system defined on a complex networks is studied. Travelling waves are predicted to occur as follows a symmetry breaking instability of an homogenous stationary stable solution, subject to an…

Statistical Mechanics · Physics 2015-09-30 Julien Petit , Timoteo Carletti , Mabor Asslani , Duccio Fanelli

We demonstrate a way to generate a two-dimensional rogue waves in two types of broad area nonlinear optical systems subject to time-delayed feedback: in the generic Lugiato-Lefever model and in model of a broad-area surface-emitting laser…

Pattern Formation and Solitons · Physics 2017-03-08 Mustapha Tlidi , Krassimir Panajotov

Laser experiments with optically excited frozen gases entail the excitation of polarization waves. In a continuum approximation the waves are dispersionless, but their frequency depends on the direction of the propagation vector. An outline…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Celli , J. S. Frasier

We report theoretical and experimental evidence of chaotic pulses with excitable-like properties in an opto-radiofrequency oscillator based on a self-injected dual-frequency laser. The chaotic attractor involved in the dynamics produces…

The nonlinear propagation of 3D wave-packets in a 1D Bragg-induced band-gap system, shows that tranverse effects (free space diffraction) affect the interplay of periodicity and nonlinearity, leading to the spontaneous formation of fast and…

Optics · Physics 2008-07-03 A. Di Falco , C. Conti , S. Trillo

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

In order to describe excitable reaction-diffusion systems, we derive a two-dimensional model with a Hopf and a semilocal saddle-node homoclinic bifurcation. This model gives the theoretical framework for the analysis of the saddle-node…

Mathematical Physics · Physics 2007-05-23 Rui Dilao , Andras Volford

We theoretically investigate excitation dynamics in one-dimensional arrays of quantum emitters coupled to a waveguide, focusing on localization and long-time population trapping. By combining time-domain simulations with spectral analysis…

Quantum Physics · Physics 2025-11-05 C. -Y. Lee , K. -T. Lin , G. -D. Lin , H. H. Jen

The time that waves spend inside 1D random media with the possibility of performing L\'evy walks is experimentally and theoretically studied. The dynamics of quantum and classical wave diffusion has been investigated in canonical disordered…

Disordered Systems and Neural Networks · Physics 2020-12-07 L. A. Razo-López , A. A. Fernández-Marín , J. A. Méndez-Bermúdez , J. Sánchez-Dehesa , V. A. Gopar

We characterize the operation of semiconductor microring lasers in an excitable regime. Our experiments reveal a statistical distribution of the characteristics of noise-triggered optical pulses that is not observed in other excitable…

We analyze theoretically the oscillations that the magnetoresistivity of two-dimensional electron systems present when a high intensity direct current is applied. In the model presented here we suggest that a plasma wave is excited in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jesus Inarrea

The phenomenon of wave packet diffraction in space and time is described. It consists in a diffraction pattern whose spatial location progresses with time. The pattern is produced by wave packet quantum scattering off an attractive or…

Quantum Physics · Physics 2008-11-26 G. Kälbermann

Spiral wave, whose rotation center can be regarded as a point defect, widely exists in various two dimensional excitable systems. In this paper, by making use of \emph{Duan's topological current theory}, we obtain the charge density of…

Pattern Formation and Solitons · Physics 2009-05-06 Ji-Rong Ren , Tao Zhu , Shu-Fan Mo

Nonlinear optical signals in optically driven quantum systems can reveal coherences and thereby open up the possibility for manipulation of quantum states. While the limiting cases of ultrafast and continuous-wave excitation have been…

Excitable systems with delayed feedback are important in areas from biology to neuroscience and optics. They sustain multistable pulsing regimes with different number of equidistant pulses in the feedback loop. Experimentally and…

Pattern Formation and Solitons · Physics 2021-01-20 Soizic Terrien , Venkata A. Pammi , Bernd Krauskopf , Neil G. R. Broderick , Sylvain Barbay

From cytoskeletal networks to tissues, many biological systems behave as active materials. Their composition and stress-generation is affected by chemical reaction networks. In such systems, the coupling between mechanics and chemistry…

Biological Physics · Physics 2024-09-25 Luca Barberi , Karsten Kruse

The manuscript reports the observation of time dependent localized and non-propagating structures in the coupled laser plasma system through 1-D fluid and PIC simulations. It is reported that such structures form spontaneously as a result…

Plasma Physics · Physics 2018-01-17 Deepa Verma , Ratan Kumar Bera , Atul Kumar , Bhavesh Patel , Amita Das

In this work, a long-cavity semiconductor laser subject to optical feedback is exploited to generate repetitive temporal patterns with enhanced intra-pattern sample diversity. Stable limit cycle dynamics characterized by multiple frequency…

Optics · Physics 2025-10-14 Apostolos Argyris

It is proposed that the spatial (and temporal) patterns spontaneously appearing in dissipative systems maximize the energy flow through the pattern forming interface. In other words - the patterns maximize the entropy growth rate in an…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kestutis Staliunas