20 citations · 42 across the 5 of their papers we have counts for
5 papers
A new fractional order chaotic dynamical system and its synchronization using optimal control
Madhuri Patil, Sachin Bhalekar
In this work, we introduce a new three-dimensional chaotic differential dynamical system. We find equilibrium points of this system and provide the stability conditions for various…
Nonexistence of invariant manifolds in fractional order dynamical systems
Sachin Bhalekar, Madhuri Patil
Invariant manifolds are important sets arising in the stability theory of dynamical systems. In this article, we take a brief review of invariant sets. We provide some results rega…
Analysis of solution trajectories of linear fractional order systems
Madhuri Patil, Sachin Bhalekar
The behavior of solution trajectories usually changes if we replace the classical derivative in a system by a fractional one. In this article, we throw a light on the relation betw…
Can we split fractional derivative while analyzing fractional differential equations?
Sachin Bhalekar, Madhuri Patil
Fractional derivatives are generalization to classical integer-order derivatives. The rules which are true for classical derivative need not hold for the fractional derivatives, fo…
Singular points in the solution trajectories of fractional order dynamical systems
Sachin Bhalekar, Madhuri Patil
Dynamical systems involving non-local derivative operators are of great importance in Mathematical analysis and applications. This article deals with the dynamics of fractional ord…