The route to chaos as the pump power is raised in the Lorenz-like 15 N H 3 laser is studied using transients and compared with the route which is expected in the Lorenz Haken equations. The differences between the routes to chaos, as normally displayed by the experimental system and the Lorenz Haken equations, is described in terms of the bifurcations experienced in each system. It is also show...

Experiments on the Belousov-Zhabotinsky reaction in a well-stirred flow reactor elucidate one of the routes to chaos, subharmonic intermittency (type III interminency). Measurements conducted as a function of two independent control parameters demonstrate how difficult it is in practice to distinguish this route to chaos from subcritical period doubling transitions with similar chaotic time sig...

In this paper, the problem of controlling for sudden occurrence of chaos (SOC) is considered. SOC is completely different from the three routes from regular motion to chaos.We prove that this new kind of chaos can be controlled. Furthermore, according to its specific characteristic, SOC is precisely controlled to different s-cycle through predictive control. Its efficacy is demonstrated via num...

We visit a previously proposed discontinuous, two-parameter generalization of the continuous, one-parameter logistic map and present exhaustive numerical studies behavior for different values two parameters initial points. In particular, routes to chaos exist that do not exhibit period-doubling whereas is sole route in map. Aperiodic maps are found lead cobwebs with x = infinity as accumulation...

It is known from many theoretical studies that ecological chaos may have numerous significant impacts on the population and community dynamics. Therefore, identification of the factors potentially enhancing or suppressing chaos is a challenging problem. In this paper, we show that chaos can be enhanced by the Allee effect. More specifically, we show by means of computer simulations that in a ti...

Chaos has revolutionized the field of nonlinear science and stimulated foundational studies from neural networks, extreme event statistics, to physics of electron transport. Recent studies in cavity optomechanics provide a new platform to uncover quintessential architectures of chaos generation and the underlying physics. Here, we report the generation of dynamical chaos in silicon-based monoli...

This paper applies the mathematics of chaos to the task of designing indoor rock-climbing routes. Chaotic variation has been used to great advantage on music and dance, but the challenges here are quite different, beginning with the representation. We present a formalized system for transcribing rock climbing problems and then describe a variation generator that is designed to support human rou...

In the last decades, renormalization group (RG) ideas have been applied to describe universal properties of different routes to chaos (quasi-periodic, period doubling or tripling, Siegel disk boundaries, etc.). Each of the RG theories leads to universal scaling exponents which are related to the action of certain RG operators. The goal of this announcement is to show that there is a principle t...

– In recent years it has been observed that some power converters can exhibit deterministic chaos. Since converters have wide industrial applications, it is useful to study their bifurcation phenomena in order to understand the change of behaviors as circuit parameters are varied. Therefore this paper aims to investigate some complex dynamic phenomena that can occur in currentprogrammed DC-DC b...