Stabilization of dynamics of a system is of great concern to the researchers and practitioners over the years. It is observed that the system is more viscous if one adds a noise in the system. In the present situation the system is perturbed by a (multiplicative) noise and the stable/unstable behavior is examined. It is then observed, one can stabilize or destablize a large class of (autonomous...

gaston bachelard, the philosopher, mathematician, physicist and french literary critic, relying on the four elements of water, wind, earth and fire, provided a new way of critique in the literature .in his critique, the poet in his mind envisions the idea of ​​dreams and imagination, and thought into words, then, he converts these ideas into poetic images in the shape of words. according to him...

This paper introduces a new method for solving ordinary differential equations (ODEs) that enhances existing methods that are primarily based on finding integrating factors and/or point symmetries. The starting point of the new method is to find a non-invertible mapping that maps a given ODE to a related higher-order ODE that has an easily obtained integrating factor. As a consequence, the rela...

Ordinary differential equation (ODE) systems are commonly used many different fields. The de-facto method to implement an ODE system in Python programming using SciPy requires the entire system to be implemented as a single function, which only allow for inline documentation. Although each equation can be broken up into sub-equations, there is no compart-mentalization of sub-equations to its OD...