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We study the dynamics of a piecewise-linear second-order delay differential equation that is representative of feedback systems with relays (switches) that actuate after a fixed delay. The system under study exhibits strong…

Dynamical Systems · Mathematics 2023-06-13 Lucas Illing , Pierce Ryan , Andreas Amann

We numerically investigate the formation of soliton pairs (bound states) in mode-locked fiber ring lasers. In the distributed model (complex cubic-quintic Ginzburg-Landau equation) we observe a discrete family of soliton pairs with…

Optics · Physics 2009-06-10 Aleksandr Zavyalov , Rumen Iliew , Oleg Egorov , Falk Lederer

In this paper possibilities of a stabilization of large amplitude fluctuations in an intracavity-doubled solid-state laser are studied. The modification of the cross-saturation coefficient by the effect of spatial hole-burning is taken into…

Chaotic Dynamics · Physics 2015-06-26 Monika E. Pietrzyk , Miltcho B. Danailov

We investigate a bi-directionally coupled system consisting of a Kerr-nonlinear microresonator and a continuous-wave single-mode semiconductor laser. Inside the resonator, a forward-propagating and a backscattered field interact…

Optics · Physics 2026-04-27 L. Bengel , H. Peng , B. de Rijk , C. Koos , W. Reichel

We examine the response of a system localized by disorder to a time dependent local perturbation which varies smoothly with a characteristic timescale $\tau$. We find that such a perturbation induces a non-local response, involving a…

Disordered Systems and Neural Networks · Physics 2015-07-23 Vedika Khemani , Rahul Nandkishore , S. L. Sondhi

Local rearrangements are the elements of plastic deformation in an amorphous solid. In oscillatory shear, they can switch reversibly between two distinct configurations. While these repeating relaxations are typically considered in the…

Soft Condensed Matter · Physics 2025-12-22 Zhicheng Wang , Nathan C. Keim

We study the linear stability properties of spatially localized single- and multi-peak states generated in a subcritical Turing bifurcation in the Meinhardt model of branching. In one spatial dimension, these states are organized in a…

Pattern Formation and Solitons · Physics 2022-12-14 Edgar Knobloch , Arik Yochelis

The stabilization of long-range magnetic order in nominally non-magnetic semi-conductors using femtosecond light pulses is an exciting yet experimentally challenging goal. Theoretical studies indicate that certain non-magnetic…

Materials Science · Physics 2026-02-18 Giovanni Marini

We study local density of state (LDOS) oscillations arising from the scattering of electrons at atomic edge defects in topological insulator (TI) surfaces. To create edge scattering on the surface of a TI, we assume that half of its surface…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 David J. Alspaugh , D. N. Sheng , Mahmoud M. Asmar

A soliton explosion is an instability whereby a dissipative soliton undergoes a sudden structural collapse, but remarkably returns back to its original shape after a short transient. We recently reported the first experimental observation…

Optics · Physics 2016-01-20 Antoine F. J. Runge , Neil G. R. Broderick , Miro Erkintalo

We investigate the effects of a localized constant wake and a localized linear wake on the longitudinal beam distribution in equilibrium. We also examine the effects of the composite wake on the particle distribution when the constant wake…

Accelerator Physics · Physics 2007-05-23 S. -H. Park , H. -Ch. Kim , J. K. Ahn , E. S. Kim

We report the study and demonstration of a new laser pulse shaping system capable of generating linearly polarized picosecond laser pulses with variable temporal profiles including symmetric intensity distributions such as parabolic,…

Optics · Physics 2019-02-20 Fangming Liu , Senlin Huang , Shangyu Si , Gang Zhao , Kexin Liu , Shukui Zhang

We analyze the dynamics of a solid-state laser driven by an injected sinusoidal field. For this type of laser, the cavity round-trip time is much shorter than its fluorescence time, yielding a dimensionless ratio of time scales $\sigma \ll…

chao-dyn · Physics 2009-10-31 M. K. Stephen Yeung , Steven H. Strogatz

We report on the observation of modulation instability induced by cross-phase modulation in a dual-wavelength operation dispersion-managed soliton fiber ring laser with net negative cavity dispersion. The passively mode-locked operation is…

Optics · Physics 2023-11-21 Zhi-Chao Luo , Ai-Ping Luo , Wen-Cheng Xu , Jia-Rui Liu , Hai-Sen Yin

We demonstrate the stabilization of two-dimensional nonlinear wave patterns by means of a dissipative confinement potential. Our analytical and numerical analysis, based on the generalized dissipative Gross-Pitaevskii equation, makes use of…

Optics · Physics 2022-08-22 V. L. Kalashnikov , S. Wabnitz

Fundamental physical phenomena such as laser-induced ionization, driven quantum tunneling, Faraday waves, Bogoliubov quasiparticle excitations, and the control of new states of matter rely on time-periodic driving of the system. A…

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

We investigate the instabilities and bifurcations of traveling pulses in a model excitable medium; in particular we discuss three different scenarios for the loss of stability resp. the disappearance of stable pulses. In numerical…

Pattern Formation and Solitons · Physics 2009-11-07 M. Or-Guil , J. Krishnan , I. G. Kevrekidis , M. Bar

In this work, we propose a unified spatio-temporal model to study the temporal dynamics in continuously pumped ytterbium-doped fiber lasers (YDFLs). Different from previously reported theories, this model is capable of obtaining the…

Optics · Physics 2019-10-29 Wei Liu , Pengfei Ma , Pu Zhou , Zongfu Jiang

We consider a network of delay dynamical systems connected in a ring via unidirectional positive feedback with constant delay in coupling. For the specific case of Mackey-Glass systems on the ring topology, we capture the phenomena of…

Chaotic Dynamics · Physics 2015-06-18 Chiranjit Mitra , G. Ambika , Soumitro Banerjee