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We predict synchronization of the chaotic dynamics of two atomic ensembles coupled to a heavily damped optical cavity mode. The atoms are dissipated collectively through this mode and pumped incoherently to achieve a macroscopic population…

Quantum Gases · Physics 2019-09-05 Aniket Patra , Boris L. Altshuler , Emil A. Yuzbashyan

A detailed analysis of the classical nonlinear dynamics of a single driven square potential barrier with harmonically oscillating position is performed. The system exhibits dynamical trapping which is associated with the existence of a…

Chaotic Dynamics · Physics 2009-01-05 Florian R. N. Koch , Florian Lenz , Christoph Petri , Fotis K. Diakonos , Peter Schmelcher

We present effects of an external driving on the tunneling dynamics of interacting bosons confined in a double well potential. At large values of a periodic driving potential, the dynamics become chaotic, with a distinct difference between…

Chaotic Dynamics · Physics 2019-03-07 Sunayana Dutta , Pankaj Kumar Mishra , Budhaditya Chatterjee , Saurabh Basu

Self-sustained time-dependent current oscillations under dc voltage bias have been observed in recent experiments on n-doped semiconductor superlattices with sequential resonant tunneling. The current oscillations are caused by the motion…

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

In this work, we demonstrate the open-loop control of chaotic systems by means of optimized periodic signals. The use of such signals enables us to reduce control power significantly in comparison to simple harmonic perturbations. It is…

chao-dyn · Physics 2009-10-28 Robert Mettin , Thomas Kurz

Many dynamical systems of different complexity, e.g. 1D logistic map, the Lorentz equations, or real phenomena, like turbulent convection, show chaotic behaviour. Despite huge differences, the dynamical scenarios for these systems are…

Solar and Stellar Astrophysics · Physics 2014-03-24 R. Smolec , P. Moskalik

This talk summarises what is currently understood about the phenomenon that has come to be known as {\it chaotic mixing}. The first part presents a concise statement as to what chaotic mixing actually is, and then explains why it should be…

Astrophysics · Physics 2007-05-23 Henry E. Kandrup

We present a new chaotic system of three coupled ordinary differential equations, limited to quadratic nonlinear terms. A wide variety of dynamical regimes are reported. For some parameters, chaotic reversals of the amplitudes are produced…

Chaotic Dynamics · Physics 2012-03-05 Christophe Gissinger

Numerical and experimental evidence is presented to show that many phase synchronized systems of non-identical chaotic oscillators, where the chaotic state is reached through a period-doubling cascade, show rapid convergence of the…

Statistical Mechanics · Physics 2009-11-10 Jörn Davidsen , István Z. Kiss , John L. Hudson , Raymond Kapral

The spin splitting caused by the terms linear in wavevector in the effective Hamiltonian containing can give rise to the new magneto-oscillation phenomena in two-dimensional systems. It is shown that the joint action of the spin-dependent…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. A. Tarasenko , N. S. Averkiev

We demonstrate that the synergistic effect of a gauge field, Rashba spin-orbit coupling (SOC), and Zeeman splitting can generate chaotic cyclotron and Hall trajectories of particles. The physical origin of the chaotic behavior is that the…

Chaotic Dynamics · Physics 2020-05-12 E. V. Kirichenko , V. A. Stephanovich , E. Ya. Sherman

Heteroclinic cycles are widely used in neuroscience in order to mathematically describe different mechanisms of functioning of the brain and nervous system. Heteroclinic cycles and interactions between them can be a source of different…

Adaptation and Self-Organizing Systems · Physics 2023-12-15 Artyom E. Emelin , Evgeny A. Grines , Tatiana A. Levanova

Holographic functional methods are introduced as probes of discrete time-stepped maps that lead to chaotic behavior. The methods provide continuous time interpolation between the time steps, thereby revealing the maps to be…

Chaotic Dynamics · Physics 2010-10-13 Thomas L. Curtright , Cosmas K. Zachos

We uncover and characterize different chaotic transport scenarios on perfect periodic surfaces by controlling the chaotic dynamics of particles subjected to periodic external forces in the absence of a ratchet effect. After identifying…

Chaotic Dynamics · Physics 2010-03-26 R. Chacon , A. M. Lacasta

Synchronization and chaos caused by alternating current and microwave field in a spin torque oscillator consisting of a perpendicularly magnetized free layer and an in-plane magnetized reference layer is comprehensively studied…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Terufumi Yamaguchi , Nozomi Akashi , Kohei Naka jima , Sumito Tsunegi , Hitoshi Kubota , Tomohiro Taniguchi

We present in this paper, the synchronization dynamics observed in a network of mutually coupled simple chaotic systems. The network consisting of chaotic systems arranged in a square matrix network is studied for their different types of…

Chaotic Dynamics · Physics 2019-09-26 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

The harmonic oscillator is an essential tool, widely used in all branches of Physics in order to understand more realistic systems, from classical to quantum and relativistic regimes. We know that the harmonic oscillator is integrable in…

Chaotic Dynamics · Physics 2018-11-15 Ronaldo S. S. Vieira , Tatiana A. Michtchenko

The route to chaos and phase dynamics in a rotating shallow-water model were rigorously examined using a five-mode Galerkin truncated system with complex variables. This system is valuable for investigating how large/meso-scales destabilize…

Chaotic Dynamics · Physics 2024-09-04 Francesco Carbone , Denys Dutykh

The driven double-well Duffing oscillator is a well-studied system that manifests a wide variety of dynamics, from periodic behavior to chaos, and describing a diverse array of physical systems. It has been shown to be relevant in…

Chaotic Dynamics · Physics 2017-12-22 Maximillian Trostel , Moses Misplon , Andrés Aragoneses , Arjendu Pattanayak

A semiclassical analysis based on concepts developed in quantum chaos reveals that anomalous magneto-oscillations in quasi two-dimensional systems with spin-orbit interaction reflect the non-adiabatic spin precession of a classical spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Keppeler , R. Winkler
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