On stability, persistence and Hopf bifurcation of fractional order dynamical system

TL;DR

This paper explores the stability, persistence, and Hopf bifurcation phenomena in fractional order dynamical systems, providing preliminary insights into their bifurcation behavior and related functional equations.

Contribution

It offers initial analysis of bifurcation phenomena in fractional order systems, including stability and Hopf bifurcation, with some exploration of associated functional equations.

Findings

Preliminary understanding of bifurcation in fractional systems

Analysis of stability and Hopf bifurcation conditions

Initial study of functional equations related to fractional dynamics

Abstract

This is a preliminary study for bifurcation in fractional order dynamical systems. Stability, persistence and hopf bifurcation are studied. Some studies are also done for functional equations.