A New Five Parameter Lifetime Distribution: Properties and Application

This paper deals with a new generalization of the Weibull distribution. This distribution is called exponentiated exponentiated exponential-Weibull (EEE-W) distribution. Various structural properties of the new probabilistic model are considered, such as hazard rate function, moments, moment generating function, quantile function, skewness, kurtosis, Shannon entropy and Rényi entropy. The maximum likelihood estimates of its unknown parameters are obtained. Finally, areal data set is analyzed and it observed that the present distribution can provide a better fit than some other known distributions

Periodic orbits of the generalized Friedmann-Robertson-Walker potential in galactic dynamics in a rotating reference frame

In this work, we study analytically the existence of periodic solution for Friedmann- Robertson-Walker Hamiltonian systems in a rotating frame using average theory of first order. The stability of these periodic solutions is investigated. Moreover, the Friedmann-Robertson-Walker Hamiltonian systems in a rotating frame is proved to be non-integrable

Combined modified function projective synchronization of different systems through adaptive control

This work describes a new study to achieve a combination of modified function projective synchronization between three different chaotic systems through adaptive control. Using the Lyapunov function theory, the asymptotic stability of the error dynamics is obtained and discussed. Further, we set some appropriate initial conditions for the state variables and assigning specific values to the parameters and obtain the graphical results, which shows the efficiencies of the new method. Finally, we summarized our work with conclusion and references