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We study extremal black hole solutions of D = 5 Gauss-Bonnet gravity coupled to a system of gauge and scalar fields. As in Einstein gravity, we find that the values of the scalar fields on the horizon...
Abstract: We study the dynamics of the large N limit of the Kuramoto model of coupled phase oscillators, subject to white noise. We introduce the notion of shadow inertial manifold and we prove their ...
On Attractor Flow and Small Black Holes     On Attractor Flow  Small Black Holes       font style='font-size:12px;'> 2010/12/23
We study the attractor flow and near horizon geometry of two-charge small black holes in heterotic string theory. The Hessian of Sen's entropy function with respect to the moduli fields has standard ...
Lorenz cycle for the Lorenz attractor     Lorenz attractor  Lorenz-63 system       font style='font-size:12px;'> 2010/4/7
In this note we study energetics of Lorenz-63 system through its Lie-Poisson structure.
A 3-D four-wing attractor and its analysis     Chaos  four-wing attractor  Lyapunov exponents  bifurcation       font style='font-size:12px;'> 2010/7/8
In this paper, several three dimensional (3-D) four-wing smooth quadratic autonomous chaotic systems are analyzed. It is shown that these systems have a number of similar features. A new 3-D continuou...
As an essential component in the demonstration of an atypical, q-deformed, statistical mechanical structure in the dynamics of the Feigenbaum attractor we expose, at a previously unknown level of deta...

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