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We investigate synchronization in the presence of delay time modulation for application to communication. We have observed that the robust synchronization is established by a common delay signal and its threshold is presented using Lyapunov exponents analysis. The influence of the delay time modulation in chaotic oscillators is also discussed.(More)
We propose a new quantum key distribution scheme that uses the blind polarization basis. In our scheme the sender and the receiver share key information by exchanging qubits with arbitrary polarization angles without basis reconciliation. As only random polarizations are transmitted, our protocol is secure even when a key is embedded in a not-so-weak(More)
We semiclassically calculate the entropy of a scalar field in the background of the BTZ black hole, and derive the perimeter law of the entropy within a restricted range for the angular momentum of the black hole. The proper length from the horizon to the ultraviolet cutoff is independent of both the mass and the angular momentum of the black hole.(More)
We introduce a new attractor mechanism to find the entropy for spherically symmetric extremal black holes. The key ingredient is to find a two-dimensional (2D) dilaton gravity with the dilaton potential V (φ). The condition of an attractor is given by ∇ 2 φ = V (φ 0) and ¯ R 2 = −V ′ (φ 0) and for a constant dilaton φ = φ 0 , these are also used to find the(More)
We investigate nonlinear dynamical behaviors of operational amplifiers. When the output terminal of an operational amplifier is connected to the inverting input terminal, the circuit exhibits period-doubling bifurcation, chaos, and periodic windows, depending on the voltages of the positive and the negative power supplies. We study these nonlinear dynamical(More)
The resonance patterns and lasing modes in a spiral-shaped dielectric microcavity are investigated through passive and active medium calculations. We find that the high-Q resonance modes are whispering-gallery-like modes, and these resonance modes can be easily excited as lasing modes. We also find that the quasi-scarred resonance mode, which shows strong(More)
We apply the generalized uncertainty principle to the black hole thermodynamics. Here we have a black hole system with UV and IR cutoffs. In order to describe the system as a whole, we incorporate the UV thermodynamics with the IR thermodynamics by introducing the geometric means of thermodynamic quantities. As a result, we show that the minimal length(More)
We study the transition route to complete synchronization through phase synchronization in generic coupled nonidentical chaotic oscillators. Through numerical studies, two routes are found, i.e., one, via lag synchronization, the other, via the intermittent chaotic burst state without lag synchronization. We claim that these two routes are universal. As(More)