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Brouwer's problem on a heavy particle in a rotating vessel: wave propagation, ion traps, and rotor dynamics
Rotating saddle Quadrupole trap Crystal optics Rotor dynamics Stokes waves
2011/1/18
In 1918 Brouwer considered stability of a heavy particle in a rotating vessel. This was the first demon-stration of a rotating saddle trap which is a mechanical analogue for quadrupole particle traps ...
Lieb-Robinson Bounds and Quasi-locality for the Dynamics of Many-Body Quantum Systems
Lieb-Robinson Bounds Quasi-locality Dynamics Many-Body Quantum Systems
2010/11/23
We review a recently proven Lieb-Robinson bound for general, many-body quantum systems with bounded interactions. Several basic examples are discussed as well as the connection between commutator esti...
Mass media and repulsive interactions in continuous-opinion dynamics
Mass media repulsive interactions continuous-opinion dynamics
2010/4/6
This letter focus on the effect of repulsive interactions on the adoption of an external message in an opinion model. With a simple change in the rules, we modify the Deffuant \emph{et al.} model to i...
The Problem of Modeling of Economic Dynamics (new version)
Economic Dynamics exponential growth
2010/4/27
The correctness of Harrods model in the differential form is studied. The inadequacy of exponential growth of economy is shown; an alternative result is obtained. By example of Phillips model, an appr...
3D Dune Dynamics as a Coupled Dynamics of 2D Cross-Sections
2D Cross-Sections 3D Dune Dynamics wind direction
2010/4/2
To analyze theoretically the stability of the shape and the migration process of transverse dunes and barchans, we propose a {\it skeleton model} of 3D dunes described with coupled dynamics of 2D cros...
The Non-linear Dynamics of Sociological Reflections
Non-linear Dynamics Sociological Reflections
2010/4/2
Actors are embedded in networks of communication: the relations of the actors can be represented as the rows of a matrix, while the column vectors represent their communications. The two systems are s...
The dynamics of laser droplet generation
laser droplet generation underlying dynamics laser pulse
2010/4/2
We propose an experimental setup allowing for the characterization of laser droplet generation in terms of the underlying dynamics, primarily showing that the latter is deterministically chaotic by me...
The turnstile mechanism across the Kuroshio current: analysis of dynamics in altimeter velocity fields
Kuroshio current altimeter velocity fields dynamics
2010/4/2
In this article we explore the ability of dynamical systems tools to describe transport in oceanic flows characterized by data sets measured from satellite. In particular we have studied the geometric...
Order flow dynamics around extreme price changes on an emerging stock market
Order flow dynamics price changes emerging stock market
2010/4/27
We study the dynamics of order flows around large intraday price changes using ultra-high-frequency data from the Shenzhen Stock Exchange. We find a significant reversal of price for both intraday pri...
The Communication of Meaning in Anticipatory Systems: A Simulation Study of the Dynamics of Intentionality in Social Interactions
anticipation social system meaning communication incursion double contingency
2010/4/7
Psychological and social systems provide us with a natural domain for the study of anticipations because these systems are based on and operate in terms of intentionality. Psychological systems can be...