Periodically fluctuating environments occur in various ways in nature but have not, however, been studied in detail yet in the context of the color of environmental noise and extinction risk of populations. We use a stochastic model to simulate population dynamics with compensatory density regulation under four different patterns of periodically fluctuating environments. We found that extinctio...

We review recent developments in the research of nonlinear and nonequilibrium phenomena solids focusing on their geometrical aspects. start with introducing basic concepts phases Bloch electrons Floquet theory for periodically driven systems. Then we attempts to engineer topological matters such as graphene, magnets, superconductors irradiated circularly polarized light. next a bulk photovoltai...

Most epidemic spreading models assume memoryless systems and statistically independent infections. Nevertheless, many real-life cases are manifestly time-sensitive and may be strongly correlated. We study the effect of non-Markovian stochastic dynamics on the SIS model, in random and scale-free networks, and propose a novel microscopic description to account for cooperation. Initial exploratory...