A bstract In this work, we investigate the quantum chaos in various $$ T\overline{T} T ¯ -deformed SYK models with finite N , including 4 supersymmetric and 2 models. We numerically study evolution of spectral form factor (SFF), out-of-time ordered correlator (OTOC), ...

The Internet has triggered the Fourth Information Revolution, which is leading to fundamental and irreversible changes in the way we do business and in the requirements for the supporting core technologies. Business-to-Business (B2B) e-commerce, the Information Revolution driver, is estimated to be between a $2.7 and a $7.3 trillion market in 2004. This pot of gold is resulting in massive compe...

The dynamical evolution of the solar system is chaotic with a Lyapunov time only $\sim$5 Myr for inner planets. Due to chaos it fundamentally impossible accurately predict system's orbital beyond $\sim$50 based on present astronomical observations. We have recently developed method overcome problem by using geologic record constrain solutions in past. Our resulting optimal solution (called ZB18...

– Temperature chaos is an extreme sensitivity of the equilibrium state to a change of temperature. It arises in several disordered systems that are described by the so called scaling theory of spin glasses, while it seems to be absent in mean field models. We consider a model spin glass on a tree and show that although it has mean field behavior with replica symmetry breaking, it manifestly has...

Noise-induced chaos is an interesting phenomenon. However, it is a subtle issue because of the difficulty in distinguishing between true low-dimensional chaos and noise. In this review article, we consider how to define noise-induced chaos and what constitutes a test for noise-induced chaos. The mechanism for noise-induced chaos is studied by considering the long-term growth rate of the logarit...

Chaotic home lives are correlated with behavior problems in children. In the study reported here, we tested whether there was a cross-lagged relation between children's experience of chaos and their disruptive behaviors (conduct problems and hyperactivity-inattention). Using genetically informative models, we then tested for the first time whether the influence of household chaos on disruptive ...

The problem discussed in this paper is the effect of latency time on the OGY chaos control methodology in multi chaotic systems. The Smith predictor, rhythmic and memory strategies are embedded in the OGY chaos control method to encounter loop latency. A comparison study is provided and the advantages of the Smith predictor approach are clearly evident from the closed loop responses. The comple...

Studies of nonlinear dynamical systems with many degrees of freedom show that the behavior of these systems is significantly different as compared with the behavior of systems with less than two degrees of freedom. These findings motivated us to carry out a survey of research focusing on the behavior of high-dimensional chaos, which include onset of chaos, routes to chaos, and the persistence o...