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In this paper we introduce some weak dynamical properties by using subbases for the phase space. Among them, the notion of light chaos is the most significant. Severalexamples, which clarify the relationships between this kind of chaos and…

Dynamical Systems · Mathematics 2021-12-23 Annamaria Miranda

In this article we describe the incoherent and coherent spin and charge dynamics of a single electron quantum dot. We use a stochastic master equation to model the state of the system, as inferred by an observer with access to only the…

Quantum Physics · Physics 2017-11-15 Eliska Greplova , Edward A. Laird , G. Andrew D. Briggs , Klaus Mølmer

We investigate geodesics in non-homogeneous vacuum pp-wave solutions and demonstrate their chaotic behavior by rigorous analytic and numerical methods. For the particular class of solutions considered, distinct "outcomes" (channels to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Podolsky , K. Vesely

Two cases of a phenomenological model for ferromagnetism are considered, discrete and continuous. And the relationship, in general, between discrete and continuous models explored. In a similar way to the logistic map behavior, the…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Eshel Faraggi

We study the conductance of chaotic or disordered wires in a situation where equilibrium transport decomposes into biased diffusion and a counter-moving regular current. A possible realization is a semiconductor nanostructure with…

Chaotic Dynamics · Physics 2007-05-23 Manamohan Prusty , Holger Schanz

We consider continuous observation of the nonlinear dynamics of single atom trapped in an optical cavity by a standing wave with intensity modulation. The motion of the atom changes the phase of the field which is then monitored by homodyne…

Quantum Physics · Physics 2009-11-06 X. M. Liu , M. Hug , G. J. Milburn

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

Biological systems often operate at the boundary between order and chaos, transitioning from directed to irregular dynamics to achieve adaptability and robustness. Reproducing such transitions in artificial soft matter remains a central…

Soft Condensed Matter · Physics 2026-02-27 Praveen Kumar Singh , Salman Ahmad Khan , Soumik Das

We study the interplay between regular and chaotic dynamics at the critical point of a generic first-order quantum phase transition in an interacting boson model of nuclei. A classical analysis reveals a distinct behavior of the coexisting…

Nuclear Theory · Physics 2011-10-13 M. Macek , A. Leviatan

Recently it has been found that different physical systems driven by identical random noise behave exactly identical after a long time. It is also suggested that this is an outcome of finite precision in numerical experiments. Here we show…

chao-dyn · Physics 2009-10-28 P. M. Gade , Chaitali Basu

We study quantum chaos for systems with more than one degree of freedom, for which we present an analysis of the dynamics of entanglement. Our analysis explains the main features of entanglement dynamics and identifies entanglement-based…

Quantum Physics · Physics 2007-05-23 Shohini Ghose , Barry C. Sanders

We demonstrate targeting and control over spatiotemporal chaos in an optical feedback loop experiment. Different stationary target patterns are stabilized in real-time by means of a two dimensional space extended perturbation field driven…

Chaotic Dynamics · Physics 2009-11-10 L. Pastur , L. Gostiaux , U. Bortolozzo , S Boccaletti , P. L Ramazza

Self-sustained order can emerge in complex systems due to internal feedback between coupled subsystems. Here, we present our discovery of a non-monotonic emergence of order amidst chaos in a turbulent thermo-acoustic fluid system.…

Fluid Dynamics · Physics 2025-02-19 Aswin Balaji , Shruti Tandon , Norbert Marwan , Jürgen Kurths , R. I. Sujith

We show that under certain simple assumptions on the topology (structure) of networks of strongly interacting chaotic elements a phenomenon of long range action takes place, namely that the asymptotic (as time goes to infinity) dynamics of…

Dynamical Systems · Mathematics 2009-11-11 Michael Blank , Leonid Bunimovich

It is shown, that at weakly nonlinear interaction of waves are possible as modes with chaotic dynamics, and with increasing degree of coherence. Conditions are found at which they arise. One of the types of such interaction is decays. The…

Chaotic Dynamics · Physics 2012-10-26 Vyacheslav Buts , Igor Kovalchuk , Dmytro Tarasov , Alexander Tolstoluzhsky

A wide variety of experimental results and theoretical investigations in recent years have convincingly demonstrated that several transition metal oxides and other materials, have dominant states that are not spatially homogeneous. This…

Strongly Correlated Electrons · Physics 2009-11-11 Elbio Dagotto

We show that rather simple but non-trivial boundary conditions could induce the appearance of spatial chaos (that is stationary, stable, but spatially disordered configurations) in extended dynamical systems with very simple dynamics. We…

Interrelations between dynamical and statistical laws in physics, on the one hand, and between the classical and quantum mechanics, on the other hand, are discussed with emphasis on the new phenomenon of dynamical chaos. The principal…

chao-dyn · Physics 2008-02-03 Boris Chirikov

We present a perception model of ambiguous patterns based on the chaotic neural network and investigate the characteristics through computer simulations. The results induced by the chaotic activity are similar to those of psychophysical…

Chaotic Dynamics · Physics 2007-05-23 Natsuki Nagao , Haruhiko Nishimura , Nobuyuki Matsui

A novel type of self-organized lattice in which chaotic defects are arranged periodically is reported for a coupled map model of open flow. We find that temporally chaotic defects are followed by spatial relaxation to an almost periodic…

chao-dyn · Physics 2009-10-22 Frederick H. Willeboordse , Kunihiko Kaneko
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