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Here we numerically study a model of excitable media, namely, a network with occasionally quiet nodes and connection weights that vary with activity on a short-time scale. Even in the absence of stimuli, this exhibits unstable dynamics,…

Disordered Systems and Neural Networks · Physics 2015-05-19 S. de Franciscis , J. J. Torres , J. Marro

Random magnetic field configurations are ubiquitous in nature. Such fields lead to a variety of dynamical phenomena, including localization and glassy physics in some condensed matter systems and novel transport processes in astrophysical…

High Energy Physics - Theory · Physics 2024-09-11 Tian-Gang Zhou , Michael Winer , Brian Swingle

We use a simple yet Earth-like atmospheric model to propose a new framework for understanding the mathematics of blocking events. Analysing error growth rates along a very long model trajectory, we show that blockings are associated with…

Atmospheric and Oceanic Physics · Physics 2020-01-08 Valerio Lucarini , Andrey Gritsun

The Madden-Julian oscillation (MJO), a gigantic tropical weather system, is marked by eastward travel of cumulus cloud clusters over the Indo-Pacific region and often causes severe weather and climate events worldwide. The physics and…

Atmospheric and Oceanic Physics · Physics 2025-07-01 Daisuke Takasuka , Tamaki Suematsu , Hiroaki Miura , Masuo Nakano

Our work presents a study on the nonlinear dynamical behavior for a microcavity semiconductor containing a quantum well. Using an external periodic perturbation in energy level we observe the periodic-doubling, quasiperiodic, and direct…

Chaotic Dynamics · Physics 2015-06-04 Hichem Eleuch , Awadhesh Prasad

Cluster media are dynamical, not static; observational evidence suggests they are turbulent. High-resolution simulations of the intracluster media (ICMs) and of idealized, similar media help us understand the complex physics and…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-24 T. W. Jones , David H. Porter , Dongsu Ryu , Jungyeon Cho

Metastability is a physical phenomenon ubiquitous in first order phase transitions. A fruitful mathematical way to approach this phenomenon is the study of rare transitions Markov chains. For Metropolis chains associated with Statistical…

Probability · Mathematics 2015-09-30 Emilio Cirillo , Francesca Nardi , Julien Sohier

We propose two potentially viable non-feedback methods, namely (i) constant bias and (ii) weak second periodic forcing as tools to mitigate extreme events. We demonstrate the effectiveness of these two tools in suppressing extreme events in…

Dynamical Systems · Mathematics 2021-08-18 S. Sudharsan , A. Venkatesan , M. Senthilvelan

Entrainment of limit cycles by chaos [1] is discovered numerically through specially designed unidirectional coupling of two glow discharge-semiconductor systems. By utilizing the auxiliary system approach [2], it is verified that the…

Chaotic Dynamics · Physics 2014-06-18 Marat Akhmet , Ismail Rafatov , Mehmet Onur Fen

We use the macroscopic fluctuation theory (MFT) to study large current fluctuations in non-stationary diffusive lattice gases. We identify two universality classes of these fluctuations which we call elliptic and hyperbolic. They emerge in…

Statistical Mechanics · Physics 2015-06-16 Baruch Meerson , Pavel V. Sasorov

We study the dynamics of perturbations in time delayed dynamical systems. Using a suitable space-time coordinate transformation, we find that the time evolution of the linearized perturbations (Lyapunov vector) can be mapped to the linear…

Statistical Mechanics · Physics 2009-11-10 Alejandro D. Sanchez , Juan M. Lopez , Miguel A. Rodriguez , Manuel A. Matias

We consider stationary stochastic processes arising from dynamical systems by evaluating a given observable along the orbits of the system. We focus on the extremal behaviour of the process, which is related to the entrance in certain…

Synchronization transitions are investigated in coupled chaotic maps. Depending on the relative weight of linear versus nonlinear instability mechanisms associated to the single map two different scenarios for the transition may occur. When…

Chaotic Dynamics · Physics 2009-11-11 Massimo Cencini , Alessandro Torcini

Runaway electrons with strongly anisotropic distributions present in post-disruption tokamak plasmas can destabilize the extraordinary electron (EXEL) wave. The present work investigates the dynamics of the quasi-linear evolution of the…

Plasma Physics · Physics 2015-02-26 G. I. Pokol , A. Kómár , A. Budai , A. Stahl , T. Fülöp

A strong analogy is found between the evolution of localized disturbances in extended chaotic systems and the propagation of fronts separating different phases. A condition for the evolution to be controlled by nonlinear mechanisms is…

chao-dyn · Physics 2009-10-28 A. Torcini , P. Grassberger , A. Politi

In this PhD thesis, I investigate the properties of symmetry-breaking dynamical phase transitions that manifest in the fluctuations of time-integrated observables within classical systems. In particular, I analyze how these phase…

Statistical Mechanics · Physics 2024-04-08 Rubén Hurtado-Gutiérrez

Sources of event-by-event elliptic flow fluctuations in relativistic heavy-ion collisions are investigated in a multiphase transport model. Besides the well-known initial eccentricity fluctuations, several other sources of dynamical…

Nuclear Theory · Physics 2013-07-26 Kai Xiao , Feng Liu , Fuqiang Wang

The work examines a special behavior of the magnetic conductivity of metals that arises when chaotic electron trajectories appear on the Fermi surface. This behavior is due to the scattering of electrons at singular points of the dynamic…

Statistical Mechanics · Physics 2024-03-28 A. Ya. Maltsev

Discrete numerical methods with finite time-steps represent a practical technique to solve initial-value problems involving nonlinear differential equations. These methods seem particularly useful to the study of chaos since no analytical…

Chaotic Dynamics · Physics 2010-01-01 Lun-Shin Yao

Basic peculiarities of market price fluctuations are known to be well described by a recently developed random walk model in a temporally deforming quadric potential force whose center is given by a moving average of past price traces…

Statistical Finance · Quantitative Finance 2013-05-29 Kota Watanabe , Hideki Takayasu , Misako Takayasu
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