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We study dynamical and stationary states of solitons in dual-core waveguides which are locally coupled (fused) at one or several short segments. The model applies to planar optical waveguides, and to BEC in dual traps. Collisions of an…

Optics · Physics 2015-06-19 Alon Harel , Boris A. Malomed

Large systems of coupled oscillators subjected to a periodic external drive occur in many situations in physics and biology. Here the simple, paradigmatic case of equal-strength, all-to-all sine-coupling of phase oscillators subject to a…

Chaotic Dynamics · Physics 2009-11-13 T. M. Antonsen , R. T. Faghih , M. Girvan , E. Ott , J. Platig

We study the synchronization phenomena in a system of globally coupled oscillators with time delay in the coupling. The self-consistency equations for the order parameter are derived, which depend explicitly on the amount of delay. Analysis…

Statistical Mechanics · Physics 2009-10-31 M. Y. Choi , H. J. Kim , D. Kim , H. Hong

We analyze the time evolution of quantum entanglement in a model consisting of two two-level atoms interacting with a two-mode electromagnetic field for a variety of initial states. We study two different coupling schemes motivated by the…

Quantum Physics · Physics 2010-10-08 K. Sinha , N. Cummings , B. L. Hu

We consider a system of two coupled particles evolving in a periodic and spatially symmetric potential under the influence of external driving and damping. The particles are driven individually in such a way that in the uncoupled regime,…

Chaotic Dynamics · Physics 2013-05-27 Colm Mulhern , Dirk Hennig , Andrew D. Burbanks

We investigate the effects of heterogeneous delays in the coupling of two excitable neural systems. Depending upon the coupling strengths and the time delays in the mutual and self-coupling, the compound system exhibits different types of…

Adaptation and Self-Organizing Systems · Physics 2015-06-05 Anastasiia Panchuk , David P. Rosin , Philipp Hövel , Eckehard Schöll

The dynamic response of dendritic solidification to spatially homogeneous time-periodic forcing has been studied. Phase-field calculations performed in two dimensions (2D) and experiments on thin (quasi 2D) liquid crystal layers show that…

Soft Condensed Matter · Physics 2015-06-24 T. Borzsonyi , T. Toth-Katona , A. Buka , L. Granasy

This article reviews recent research on the collective dynamical behavior of colloids with dipolar or multipolar interactions. Indeed, whereas equilibrium structures and static self-assembly of such systems are now rather well understood,…

Soft Condensed Matter · Physics 2016-02-02 Sabine H. L. Klapp

Focusing on the efficient probe and manipulation of single-particle spin states, we investigate the coupled spin and orbital dynamics of a spin 1/2 particle in a harmonic potential subject to ultrastrong spin-orbit interaction and external…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 C. Echeverria-Arrondo , E. Ya. Sherman

The steady state motion of a folded pendulum has been studied using frequencies of drive that are mainly below the natural (resonance) frequency of the instrument. Although the free-decay of this mechanical oscillator appears textbook…

Classical Physics · Physics 2007-05-23 Randall D. Peters

In the tangent space of some spatially extended dissipative systems one can observe "physical" modes which are highly involved in the dynamics and are decoupled from the remaining set of hyperbolically "isolated" degrees of freedom…

Chaotic Dynamics · Physics 2010-03-22 Pavel V. Kuptsov , Ulrich Parlitz

Dynamical stabilization processes (homeostasis) are ubiquitous in nature, but energetic resources needed for their existence were not studied systematically. Here we undertake such a study using the famous model of Kapitza's pendulum, which…

Statistical Mechanics · Physics 2022-09-14 A. E. Allahverdyan , E. Khalafyan

We study the role of continuous measurement in the quantum to classical transition for a system with coupled internal (spin) and external (motional) degrees of freedom. Even when the measured motional degree of freedom can be treated…

In 1665, Huygens observed that two pendulum clocks hanging from the same board became synchronized in antiphase after hundreds of swings. On the other hand, modern experiments with metronomes placed on a movable platform show that they…

Adaptation and Self-Organizing Systems · Physics 2021-02-24 Guillermo H Goldsztein , Alice N Nadeau , Steven H Strogatz

We propose a novel mechanism leading to spatiotemporal oscillations in extended systems that does not rely on local bulk instabilities. Instead, oscillations arise from the interaction of two subsystems of different spatial dimensionality.…

Other Condensed Matter · Physics 2007-05-23 A. Gomez-Marin , J. Garcia-Ojalvo , J. M. Sancho

Control over the quantum dynamics of chaotic kicked rotor systems is demonstrated. Specifically, control over a number of quantum coherent phenomena is achieved by a simple modification of the kicking field. These include the enhancement of…

Quantum Physics · Physics 2009-11-10 Jiangbin Gong , Hans Jakob Worner , Paul Brumer

It has been observed that certain classical chains admit topologically protected zero-energy modes that are localized on the boundaries. The static features of such localized modes are captured by linearized equations of motion, but the…

Soft Condensed Matter · Physics 2018-07-18 Koji Sato , Ryokichi Tanaka

In this contribution we establish a dictionary between terms in two different areas in order to show that many of the topics studied are common ones - just with a different terminology. We further analyze the relations between the…

Dynamical Systems · Mathematics 2020-03-04 Rocío Díaz Martín , Ivan Medri , Ursula Molter

The dynamics of co- and counter-rotating coupled spherical pendulums (two lower pendulums are mounted at the end of the upper pendulum) is considered. Linear mode analysis shows the existence of three rotating modes. Starting from linear…

Classical Physics · Physics 2015-06-19 Blazej Witkowski , Przemyslaw Perlikowski , Awadhesh Prasad , Tomasz Kapitaniak

A theoretical and experimental investigation is presented on the intermodal coupling between the flexural vibration modes of a single clamped-clamped beam. Nonlinear coupling allows an arbitrary flexural mode to be used as a self-detector…

Mesoscale and Nanoscale Physics · Physics 2010-09-14 H. J. R. Westra , M. Poot , H. S. J. van der Zant , W. J. Venstra
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