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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...
A chaotic system under periodic forcing can develop a periodically
visited strange attractor. We discuss simple models in which the phenomenon,
quite easy to see in numerical simulations, can be com...
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...
Collective Phase Chaos in the Dynamics of Interacting Oscillator Ensembles
Oscillator populations Kuramoto transition hyperbolic chaos robust chaos
2010/12/28
We study chaotic behavior of order parameters in two coupled ensembles of selfsustained oscillators. Coupling within each of these ensembles is switched on and off alternately, while the mutual intera...
An SMIB model in the power systems, especially thatconcering the effects of hard limits on bifurcations, chaos andstability is studied. Parameter conditions for bifurcations andchaos in the absence of...
Propagation of Molecular Chaos by Quantum Systems and the Dynamics of the Curie-Weiss Model
Molecular Chaos Quantum Systems Dynamics the Curie-Weiss Model
2010/11/1
The propagation of molecular chaos, a tool of classical kinetic theory, is generalized to apply to quantum systems of distinguishable particles. We prove that the Curie-Weiss model of ferromagnetism ...
Modulated Amplitude Waves and the Transition from Phase to Defect Chaos
Modulated Amplitude Waves Defect Chaos
2010/11/2
The mechanism for transitions from phase to defect chaos in the one-dimensional complex Ginzburg-Landau equation (CGLE) is presented. We introduce and describe periodic coherent structures of the CGL...