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The attractor mechanism in Gauss-Bonnet gravity
A black hole gravitational coupling system the second derivative
2014/12/20
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...
Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators
synchronization Kuramoto model Fokker-Planck PDE global attractor inertial manifold
2011/10/9
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 ...
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 ...
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
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...
Dynamics towards the Feigenbaum attractor
Feigenbaum attractor Supercycles Convergence to attractor Log-periodic oscillation
2010/7/5
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...