4 citations · 13 across the 12 of their papers we have counts for
7 papers · 1 filter
Large-Scale Structure of Chaotic Attractors in FitzHugh-Rinzel model
Mohammadreza Razvan, Sheida Shahidi
Chaotic bursting behaviors have been observed by many authors in neural dynamics mainly in the transition between different kinds of bursting behavior. As a well-known three-dimens…
The role of resonator neuron in the dynamics of two coupled integrator and resonator neurons of different types of excitability
Mohammad Reza Razvan, Somaye Yasaman
In this manuscript, a silent resonator neuron is coupled with a spiking integrator neuron through the gap junction, when the coupled neurons are of different types of excitability…
Bifurcation structure of two coupled FHN neurons with delay
Niloofar Farajzadeh Tehrani, MohammadReza Razvan
This paper presents an investigation of the dynamics of two coupled non-identical FitzHugh-Nagumo neurons with delayed synaptic connection. We consider coupling strength and time d…
On the Poincare Index of Isolated Invariant Sets
M. R. Razvan, M. Fotouhi Firoozabad
In this paper, we use Conley index theory to examine the Poincare index of an isolated invariant set. We obtain some limiting conditions on a critical point of a planar vector fiel…
Lusternik-Schnirelmann Theory for a Morse Decomposition
M. R. Razvan
Let be a continuous flow on a metric space and be an isolated invariant set with an index pair and a Morse decomposition . For every category…
On Conley's Fundamental Theorem of Dynamical Systems
M. R. Razvan
In this paper, we generalize Conley's fundamental theorem of dynamical systems in Conley index theory. We also conclude the existence of regular index filtration for every Morse de…