Phase-plane analysis of test particle orbits in regular black holes

Abstract

We investigate phase-plane analysis of general relativistic orbits in a gravitational field of the Reissner–Nordström-type regular black hole spacetime. We employ phase-plane analysis to obtain different phase-plane diagrams of the test particle orbits by varying charge q and dimensionless parameter β, where β contains angular momentum of the test particle. We compute numerical values of radii for the innermost stable orbits and corresponding values of energy required to place the test particle in orbits. Later on, we employ similar analysis on an Ayón–Beato–García (ABG) regular black hole and a comparison regarding key results is also included.

Analysis of Electroencephalograms Based on the Phase Plane Method

“…The shape of the boundary cycles expresses the shape of the oscillations. The phase plane method is widely used in the theory of nonlinear devices, as it helps to simply and clearly illustrate the nature of oscillations [11][12][13][14].…”