We study the dynamical formation of scalar monopole and dipole hair in Gauss-Bonnet theory Chern-Simons theory. prove that spherically-symmetric mode is completely determined by product mass spacetime value hair. then show dynamics $\ell=1$ intimately tied to appearance event horizon during axisymmetric collapse, which results radiation certain modes could have been divergent future collapse. c...

The training of Generative Adversarial Networks (GANs) is a difficult task mainly due to the nature of the networks. One such issue is when the generator and discriminator start oscillating, rather than converging to a fixed point. Another case can be when one agent becomes more adept than the other which results in the decrease of the other agent’s ability to learn, reducing the learning capac...

Synchronization of chaotic oscillations between external-cavity and injected semiconductor lasers is experimentally observed in a low-frequency fluctuation regime. Not only from the occurrence of power drop events between their waveforms but also from the detailed structures of mode transition in power recovery processes of low-frequency fluctuations, it is confirmed that the two systems are sy...

The linear instability and nonlinear dynamics of collisional (resistive) and collisionless (due to electron inertia) double tearing modes (DTMs) are compared with the use of a reduced cylindrical model of a tokamak plasma. We focus on cases where two q = 2 resonant surfaces are located a small distance apart. It is found that regardless of the magnetic reconnection mechanism, resistivity or ele...

Generative adversarial networks (GANs) nowadays are capable of producing images incredible realism. Two concerns raised whether the state-of-the-art GAN’s learned distribution still suffers from mode collapse and what to do if so. Existing diversity tests samples GANs usually conducted qualitatively on a small scale and/or depend access original training data as well trained model parameters. T...

We investigate the stability of self-similar solutions for a gravitationally collapsing isothermal sphere in Newtonian gravity by means of a normal mode analysis. It is found that the Hunter series of solutions are highly unstable, while neither the Larson-Penston solution nor the homogeneous collapse one have an analytic unstable mode. Since the homogeneous collapse solution is known to suffer...

A perturbative analysis is used to investigate the effect of rotation on the instability of a steady accretion shock (SASI) in a simple toy-model, in view of better understanding supernova explosions in which the collapsing core contains angular momentum. A cylindrical geometry is chosen for the sake of simplicity. Even when the centrifugal force is very small, rotation can have a strong effect...