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The effect of a temporal modulation at three times the critical frequency on a Hopf bifurcation is studied in the framework of amplitude equations. We consider a complex Ginzburg-Landau equation with an extra quadratic term, resulting from…

斑图形成与孤子 · 物理学 2009-11-07 Rafael Gallego , Daniel Walgraef , Maxi San Miguel , Raul Toral

The bifurcation structure of coupled periodically driven double-well Duffing oscillators is investigated as a function of the strength of the driving force $f$ and its frequency $\Omega$. We first examine the stability of the steady state…

混沌动力学 · 物理学 2015-06-26 Anatole Kenfack

Chemical oscillation is an interesting nonlinear dynamical phenomenon which arises due to complex stability condition of the steady state of a reaction far away from equilibrium which is usually characterised by a periodic attractor or a…

动力系统 · 数学 2018-11-13 Sandip Saha , Gautam Gangopadhyay

Oscillator networks found in social and biological systems are characterized by the presence of wide ranges of coupling strengths and complex organization. Yet robustness and synchronization of oscillations are found to emerge on…

物理与社会 · 物理学 2019-12-17 Daniel Monsivais , Kunal Bhattacharya , Rafael A. Barrio , Philip K. Maini , Kimmo K. Kaski

Experiments are conducted in a two-dimensional mono-layer vibrofluidized bed of glass beads, with a goal to understand the transition scenario and the underlying microstructure and dynamics in different patterned-states. At small shaking…

软凝聚态物质 · 物理学 2016-05-18 I. Ansari , M. Alam

Noise can induce coherent oscillations in excitable systems without periodic orbits. Here, we establish a method to derive a hybrid system approximating the noise-induced coherent oscillations in excitable systems and further perform phase…

适应与自组织系统 · 物理学 2022-05-26 Jinjie Zhu , Yuzuru Kato , Hiroya Nakao

Discrete time crystals are novel phases of matter that break the discrete time translational symmetry of a periodically driven system. In this work, we propose a classical system of weakly-nonlinear parametrically-driven coupled oscillators…

统计力学 · 物理学 2025-01-31 Stuart Yi-Thomas , Jay D. Sau

Solid-solid collapse transition in open framework structures is ubiquitous in nature. The real difficulty in understanding detailed microscopic aspects of such transitions in molecular systems arises from the interplay between different…

软凝聚态物质 · 物理学 2015-06-15 Rakesh S. Singh , Biman Bagchi

In this paper, we study the dynamics and stability of a fundamental power system model when a time delay is imposed on the excitation of the generator. It is observed that sustained oscillations can arise in an otherwise stable power system…

混沌动力学 · 物理学 2007-05-23 Rajesh G. Kavasseri

We propose an explanation for the onset of oscillations seen in numerical simulations of dense, inclined flows of inelastic, frictional spheres. It is based on a phase transition between disordered and ordered collisional states that may be…

软凝聚态物质 · 物理学 2013-12-06 Danielle Tan , Patrick Richard , James T. Jenkins

A theoretical analysis is presented to show the general occurrence of phase clusters in weakly, globally coupled oscillators close to a Hopf bifurcation. Through a reductive perturbation method, we derive the amplitude equation with a…

适应与自组织系统 · 物理学 2014-09-17 Hiroshi Kori , Yoshiki Kuramoto , Swati Jain , István Z. Kiss , John Hudson

We study the low-temperature behavior of a simple cluster-crystal forming system through simulation. The phase behavior is found to be hybrid between the Gaussian core and penetrable sphere models. The system additionally exhibits a series…

软凝聚态物质 · 物理学 2015-03-17 Kai Zhang , Patrick Charbonneau , Bianca M. Mladek

A lipid coated bubble (LCB) oscillator is a very interesting non-smooth oscillator with many important applications ranging from industry and chemistry to medicine. However, due to the complex behavior of the coating intermixed with the…

流体动力学 · 物理学 2021-07-28 AJ Sojahrood , H. Haghi , T. M. Porter , R. Karshafian , M. C. Kolios

We present a model of systems of cells with intracellular oscillators (`clocks'). This is motivated by examples from developmental biology and from the behavior of organisms on the threshold to multicellularity. Cells undergo random motion…

偏微分方程分析 · 数学 2024-02-09 Tilmann Glimm , Daniel Gruszka

The dynamics of two traps with ultracold atoms and connected by Josephson type coupling, is shown to exhibit a transition from dispersive dynamics to localized coherent oscillations. This transition is controlled by coupling strength and…

统计力学 · 物理学 2007-05-23 N. M. Bogoliubov , J. Timonen , M. B. Zvonarev

We present molecular dynamics simulations of aggregation kinetics in a colloidal suspension modeled as a highly asymmetric binary mixture. Starting from a configuration with largely uncorrelated colloidal particles the system relaxes by…

统计力学 · 物理学 2007-05-23 Sorin Bastea

In this paper we present an influence of discontinuous coupling on the dynamics of multistable systems. Our model consists of two periodically forced oscillators that can interact via soft impacts. The controlling parameters are the…

混沌动力学 · 物理学 2017-01-19 P. Brzeski , E. Pavlovskaia , T. Kapitaniak , P. Perlikowski

We report an experimental study on the transition between a disordered liquid-like state and a ordered solid-like one, in a collection of magnetically interacting macroscopic grains. A monolayer of magnetized particles is vibrated…

统计力学 · 物理学 2015-06-05 Loreto Oyarte , Pablo Gutiérrez , Sébastien Aumaître , Nicolás Mujica

Time crystal is a class of non-equilibrium phases with broken time-translational symmetry. Here we demonstrate the time crystal in a single-mode nonlinear cavity. The time crystal originates from the self-oscillation induced by a linear…

量子物理 · 物理学 2024-12-05 Yaohua Li , Chenyang Wang , Yuanjiang Tang , Yong-Chun Liu

Exploiting the full potential of MBs for applications requires a good understanding of their complex dynamics. Improved understanding of MB oscillations can lead to further enhancement in optimizing their efficacy in many applications and…

应用物理 · 物理学 2019-02-06 H. Haghi , AJ Sojahrood , M. C. Kolios