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Deterministic Dynamics and Chaos: Epistemology and Interdisciplinary Methodology
Deterministic Dynamics Chaos Epistemology Interdisciplinary Methodology
2011/7/6
We analyze, from a theoretical viewpoint, the bidirectional interdisciplinary relation between mathematics and psychology, focused on the mathematical theory of deterministic dynamical systems, and in...
Pseudo resonance induced quasi-periodic behavior in stochastic threshold dynamics
Pseudo resonance quasi-periodic behavior stochastic threshold dynamics
2011/7/5
Here we present a simple stochastic threshold model consisting of a deterministic slowly
decaying term and a fast stochastic noise term. The process shows a pseudo-resonance,
in the sense that for s...
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...
Random Noise and Pole-Dynamics in Unstable Front Propagation II
Random Noise Pole-Dynamics Propagation analytic tool
2011/7/5
The current paper is a corrected version of our previous paper [1]. Similarly to previous version
we investigate the problem of flame propagation. This problem is studied as an example of unstable
f...
Aggressive shadowing of a low-dimensional model of atmospheric dynamics
shadowing stalking ensemble forecasting inflation
2011/7/6
Predictions of the future state of the Earth's atmosphere suffer from the consequences of chaos: numerical weather forecast models quickly diverge from observations as uncertainty in the initial state...
A Model of Opinion Dynamics with Bounded Confidence and Noise
Bounded Confidence Noise Model of Opinion Dynamics ME numerical integration analysis
2011/7/5
This paper introduces a new model of continuous opinion dynamics with
random noise. The model belongs to the broad class of so called bounded
confidence models. It differs from other popular bounded...
A Model of Opinion Dynamics with Bounded Confidence and Noise
Opinion Dynamics Bounded Confidence Noise
2011/7/20
This paper introduces a new model of continuous opinion dynamics with random noise. The model belongs to the broad class of so called bounded confidence models. It differs from other popular bounded c...
Dynamics near the threshold for blowup in the one-dimensional focusing nonlinear Klein-Gordon equation
threshold for blowup one-dimensional nonlinear Klein-Gordon equation
2011/1/18
We study dynamics near the threshold for blowup in the focusing nonlinear Klein-Gordon equa-
tion utt −uxx +u−|u|2 u = 0 on the line. Using mixed numerical and analytical methods we find
...
The paper is an informal report on joint work with Stefan Haller on Dynamics in relation with Topology and Spectral Geometry. By dynamics one means a smooth vector field on a closed smooth manifold; t...
Equation-Free Multiscale Computational Analysis of Individual-Based Epidemic Dynamics on Networks
Computational Epidemiology Individual-based models Networks
2010/12/28
The surveillance, analysis and ultimately the efficient long-term prediction and control of epidemic dynamics appear to be one of the major challenges nowadays. Detailed atomistic mathematical models ...
The Nonlinear Schroedinger Equation: Existence, Stability and Dynamics of Solitons
Soliton dynamics Nonlinear Schroedinger Equation
2011/2/28
In this paper we present some recent results concerning the existence,the stability and the dynamics of solitons occurring in the nonlinear Schroedinger equation when the parameter h → 0.
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.
Regularity "in Large" for the 3D Salmon's Planetary Geostrophic Model of Ocean Dynamics
planetary geostrophic model global regularity ocean dynamics model global circulation
2011/2/28
It is well known, by now, that the three-dimensional non-viscous planetary geostrophic model,
with vertical hydrostatic balance and horizontal Rayleigh friction, coupled to the heat diffusion and tra...
Dark-Bright Discrete Solitons: A Numerical Study of Existence, Stability and Dynamics
Solitons Dark solitons Discrete Nonlinear Schrodinger equations
2010/12/28
In the present work, we numerically explore the existence and stability properties of di erent types of con gurations of dark-bright solitons, dark-bright soliton pairs
and pairs of dark-bright and d...
Nonlinear dynamics of a coupled micro-ring resonator chain
Nonlinear dynamics coupled micro-ring resonator chain
2010/12/28
We study nonlinear wave phenomena in a coupled ring resonator optical waveguide in the tight coupling regime. The discrete nonlinear Bloch modes of the structure are derived. The switching behavior of...