arXiv subjects

Wei-Fu Lin

Publications and source records attributed to Wei-Fu Lin.

5 recordsLinked to original sources

arXiv1998

Stochastic Responses of the Stable Period-p Orbits in One-Dimensional Noisy Map Systems

We analytically derive the correlation functions of the stochastic response of period-p orbits in a generic one-dimensional map system under the influence of weak external, additive white noise. Two approaches, a recurrence scheme and a path integral method, are provided. Beside the supercycle, we recognise that the fluctuations on each elements of the period-p orbits are colored noise which have non-vanishing time correlation. The results also indicate that the stochastic responses will be stationary after a large number of period-p iterations. The analytical results are confirmed by numerical simulations.

chao-dyn↗

arXiv1997

Stochastic Response, Cascading and Control of Colored Noise in Dynamical System

We analytically determine the correlation functions of the stochastic response of a generic mapping system driven by colored noise. We also address the issue of noise cascading in coupled-element systems, particularly in a uni-directionally coupled system with dc-filtered coupling. A noise-feedback method and an opposite-pairing method are introduced to control the stochastic response. Excellent agreements are obtained between analytical results and numerical simulations.

chao-dyn↗

arXiv1993

Dyonic Black Holes in String Theory

An exact solution of the low-energy string theory representing static, spherical symmetric dyonic black hole is found. The solution is labeled by their mass, electric charge, magnetic charge and asymptotic value of the scalar dilaton. Some interesting properties of the dyonic black holes are studied. In particular, the Hawking temperature of dyonic black holes depends on both the electric and magnetic charges, and the extremal ones, which have nonzero electric and magnetic charges, have zero temperature but nonzero entropy. These properties are quite different from those of electrically (or magnetically) charged dilaton black holes found by Gibbons {\it et al.} and Garfinkle {\it et al.}, but are the same as those of the dyonic black holes found by Gibbons and Maeda. After this paper was submitted for publication, D. Wiltshire told us that solutions, eqs.(22)-(28), are related to Gibbons-Maeda dyonic black hole solutions by a coordinate transformation and some parameters reparametization \cite{26}. And, we were also informed that many of our results were previously obtained by Kallosh {\it et al.} \cite{27}. The dyonic black hole solutions, eqs.(22)-(28), are also related to those of reference \cite{27} by another coordinate

hep-th↗

arXiv1992

Uniqueness of the Axionic Kerr Black Hole

Under the axisymmetry and under the invarance of simultaneous inversion of time and azimuthal angle, we show that the axionic Kerr black hole is the ${\it unique}$ stationary solution of the minimal coupling theory of gravity and the Kalb-Ramond field, which has a regular event horizon, is asymptotically flat and has a finite axion field strength at event horizon.

hep-th↗

arXiv1992

Stability Analysis of a Stringy Black Hole

We investigate the stability of charged black holes in two-dimensional heterotic string theories that were recently discussed by McGuidan, Nappi and Yost. In the framework of small time-dependent perturbation, we find that these black holes are linearly stable.

hep-th↗