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Nonlinear dynamics of two coupled nano-electromechanical resonators
Nonlinear dynamics coupled nano-electromechanical resonators
2011/7/6
As a model of coupled nano-electromechanical resonantors we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillat...
Urban chaos and replacement dynamics in nature and society
bifurcation chaos fractal dimension logistical map replacement dynamics Volterra-Lotka’s model urbanization
2011/7/7
Many growing phenomena in both nature and society can be predicted with sigmoid function. The growth curve of the level of urbanization is a typical S-shaped one, and can be described by using logisti...
Instabilities in free surface continuous jets of non-Newtonian fluids, although relevant for many industrial processes, remain less well understood in terms of fundamental fluid dynamics.
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
2010/12/28
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 ...
Dynamics of automorphisms on compact Kähler manifolds
holomorphic automorphism Green current laminar current Green measure
2010/12/14
We study holomorphic automorphisms on compact K¨ahler manifolds having simple actions on the Hodge cohomology ring. We show for such automorphisms that the main dynamical Green currents admit complex ...
We present a model problem for benchmarking codes that investigate magma migration in the Earth's interior. This system retains the essential features of more sophisticated models, yet has the advanta...
Adaptive and Recursive Time Relaxed Monte Carlo methods for rarefied gas dynamics
Boltzmann equation Monte Carlo methods Time Relaxed schemes
2010/12/6
Recently a new class of Monte Carlo methods, called Time Relaxed Monte Carlo (TRMC), designed for the simulation of the Boltzmann equation close to fluid regimes have been introduced [16].