11 citations · 42 across the 10 of their papers we have counts for
10 papers
The Wavefunction of Continuous-Time Recurrent Neural Networks
Ikjyot Singh Kohli, Michael C. Haslam
In this paper, we explore the possibility of deriving a quantum wavefunction for continuous-time recurrent neural network (CTRNN). We did this by first starting with a two-dimensio…
Dynamics of a Bianchi Type I Model With a Concave Potential
Ikjyot Singh Kohli, Michael C. Haslam
In this paper, we study the dynamics of a Bianchi Type I potential in the presence of a concave potential of the form , where $V…
Einstein's Field Equations as a Fold Bifurcation
Ikjyot Singh Kohli, Michael C. Haslam
It is shown that Einstein's field equations for \emph{all} perfect-fluid FLRW cosmologies have the same form as the topological normal form of a fold bifurcation. In particul…
An Analysis of the Replicator Dynamics for an Asymmetric Hawk-Dove Game
Ikjyot Singh Kohli, Michael C. Haslam
We analyze, using a dynamical systems approach, the replicator dynamics for the asymmetric Hawk-Dove game in which there is a set of four pure strategies with arbitrary payoffs. We…
A Degenerate Bogdanov-Takens Normal Form for FLRW Cosmologies
Ikjyot Singh Kohli, Michael C. Haslam
In this paper, we first show that the Einstein field equations for all perfect-fluid FLRW cosmologies can be written as a planar dynamical system with the equation of state paramet…
Stochastic Eternal Inflation in a Bianchi Type I Universe
Ikjyot Singh Kohli, Michael C. Haslam
The phenomenon of stochastic eternal inflation is studied for a chaotic inflation potential in a Bianchi Type I spacetime background. After deriving the appropriate stochastic Klei…
Mathematical Issues in Eternal Inflation
Ikjyot Singh Kohli, Michael C. Haslam
In this paper, we consider the problem of existence and uniqueness of solutions to the Einstein field equations for a spatially flat FLRW universe in the context of stochastic eter…
On The Dynamics of a Closed Viscous Universe
Ikjyot Singh Kohli, Michael C. Haslam
We use a dynamical systems approach based on the method of orthonormal frames to study the dynamics of a non-tilted Bianchi Type IX cosmological model with a bulk and shear viscous…
A Dynamical Systems Approach to a Bianchi Type I Viscous Magnetohydrodynamic Model
Ikjyot Singh Kohli, Michael C. Haslam
We use the expansion-normalized variables approach to study the dynamics of a non-tilted Bianchi Type I cosmological model with both a homogeneous magnetic field and a viscous flui…
The Future Asymptotic Behaviour of a Non-Tilted Bianchi Type IV Viscous Model
Ikjyot Singh Kohli, Michael C. Haslam
The future asymptotic behaviour of a non-titled Bianchi Type IV viscous fluid model is analyzed. In particular, we consider the case of a viscous fluid without heat conduction, and…