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We study the nonlinear chaotic dynamics in a system of linear oscillators coupled by social network links with an additional stratification of oscillator energies, or frequencies, and supplementary nonlinear interactions. It is argued that…

Statistical Mechanics · Physics 2026-03-26 Klaus M. Frahm , Dima L. Shepelyansky

Energy level spectrum of protactinium atom (Pa, Z=91) is simulated with a CI calculation. Levels belonging to the separate manifolds of a given total angular momentum and parity $J^\pi$ exhibit distinct properties of many-body quantum…

Atomic Physics · Physics 2017-02-15 A. V. Viatkina , M. G. Kozlov , V. V. Flambaum

The problem of Turing pattern formation has attracted much attention in nonlinear science as well as physics, chemistry and biology. So far all Turing patterns have been observed in stationary and oscillatory media only. In this letter we…

Pattern Formation and Solitons · Physics 2007-05-23 Jinghua Xiao , Junzhong Yang , Gang Hu

Spatio-temporal chaos is predicted to occur in n-doped semiconductor superlattices with sequential resonant tunneling as their main charge transport mechanism. Under dc voltage bias, undamped time-dependent oscillations of the current (due…

Condensed Matter · Physics 2009-10-28 O. M. Bulashenko , L. L. Bonilla

We study the crossover behavior of statistical properties of eigenvalues in a chaotic microcavity with different refractive indices. The level spacing distributions change from Wigner to Poisson distributions as the refractive index of a…

Quantum Physics · Physics 2019-04-03 Jung-Wan Ryu , Sang Wook Kim

Quantized, compact graphs were shown to be excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity we show that they display all the features which characterize scattering systems with an underlying…

chao-dyn · Physics 2009-10-31 Tsampikos Kottos , U. Smilansky

Spectra of the geometric collective model of atomic nuclei are analyzed to identify chaotic correlations among nonrotational states. The model has been previously shown to exhibit a high degree of variability of regular and chaotic…

Quantum Physics · Physics 2009-06-16 Pavel Stransky , Petr Hruska , Pavel Cejnar

Phase-coupled oscillators serve as paradigmatic models of networks of weakly interacting oscillatory units in physics and biology. The order parameter which quantifies synchronization was so far found to be chaotic only in systems with…

Chaotic Dynamics · Physics 2011-12-12 Christian Bick , Marc Timme , Danilo Paulikat , Dirk Rathlev , Peter Ashwin

We calculate near-threshold bound states and Feshbach resonance positions for atom + rigid-rotor models of the highly anisotropic systems Li+CaH and Li+CaF. We perform statistical analysis on the resonance positions to compare with the…

We study an opto-electronic time-delay oscillator that displays high-speed chaotic behavior with a flat, broad power spectrum. The chaotic state coexists with a linearly-stable fixed point, which, when subjected to a finite-amplitude…

Chaotic Dynamics · Physics 2015-05-13 Kristine E. Callan , Lucas Illing , Zheng Gao , Daniel J. Gauthier , Eckehard Schöll

The noise-enhanced trapping is a surprising phenomenon that has already been studied in chaotic scattering problems where the noise affects the physical variables but not the parameters of the system. Following this research, in this work…

Chaotic Dynamics · Physics 2021-06-30 Alexandre R. Nieto , Jesús M. Seoane , Miguel A. F. Sanjuán

The two-dimensional regular and chaotic electro-convective flow states of a dielectric liquid between two infinite parallel planar electrodes are investigated using a two-relaxation-time lattice Boltzmann method. Positive charges injected…

Fluid Dynamics · Physics 2021-08-17 Qi Wang , Yifei Guan , Junyu Huang , Jian Wu

We analyze the origin and properties of the chaotic dynamics of two atomic ensembles in a driven-dissipative experimental setup, where they are collectively damped by a bad cavity mode and incoherently pumped by a Raman laser. Starting from…

Chaotic Dynamics · Physics 2020-10-06 Aniket Patra , Boris L. Altshuler , Emil A. Yuzbashyan

The scattering matrix approach is employed to determine a joint probability density function of reflection eigenvalues for chaotic cavities coupled to the outside world through both ballistic and tunnel point contacts. Derived under…

Mesoscale and Nanoscale Physics · Physics 2012-05-17 Pedro Vidal , Eugene Kanzieper

The phase ordering properties of lattices of band-chaotic maps coupled diffusively with some coupling strength $g$ are studied in order to determine the limit value $g_e$ beyond which multistability disappears and non-trivial collective…

Disordered Systems and Neural Networks · Physics 2009-10-31 Anael Lemaitre , Hugues Chate

A widely accepted definition of ``quantum chaos'' is ``the behavior of a quantum system whose \emph{classical} \emph{limit is chaotic}''. The dynamics of quantum-chaotic systems is nevertheless very different from that of their classical…

Quantum Physics · Physics 2016-08-16 Quentin Thommen , Jean Claude Garreau , Véronique Zehnlé

We investigate the dynamics of passive particles in a two-dimensional incompressible open flow composed of a fixed topographical point vortex and a background current with a periodic component. The tracer dynamics is found to be typically…

Chaotic Dynamics · Physics 2011-11-10 M. Budyansky , M. Uleysky , S. Prants

We study the energy fluctuations of a spatially homogeneous SU(2) Yang-Mills-Higgs system. In particular, we analyze the nearest-neighbour spacing distribution which shows a Wigner-Poisson transition by increasing the value of the Higgs…

Quantum Physics · Physics 2015-06-26 Luca Salasnich

We study the coupled translational, electronic, and field dynamics of the combined system "a two-level atom + a single-mode quantized field + a standing-wave ideal cavity". We derive Hamilton -- Schr\"odinger equations for probability…

Quantum Physics · Physics 2009-11-07 M. Uleysky , L. Kon'kov , S. Prants

It has been shown that, despite being local, a perturbation applied to a single site of the one-dimensional XXZ model is enough to bring this interacting integrable spin-1/2 system to the chaotic regime. Here, we show that this is not…

Statistical Mechanics · Physics 2021-01-13 Lea F. Santos , Francisco Pérez-Bernal , E. Jonathan Torres-Herrera