8 citations · 14 across the 14 of their papers we have counts for
5 papers · 1 filter
Final state sensitivity and fractal basin boundaries from coupled Chialvo neurons
Bennett Lamb, Brandon B. Le
We investigate and quantify the basin geometry and extreme final state uncertainty of two identical electrically asymmetrically coupled Chialvo neurons. The system's diverse behavi…
Hyperchaos and complex dynamical regimes in -dimensional neuron lattices
Brandon B. Le, Dima Watkins
We study the dynamics of -dimensional lattices of nonchaotic Rulkov neurons coupled with a flow of electrical current. We consider both nearest-neighbor and next-nearest-neighbo…
Asymmetric coupling of nonchaotic Rulkov neurons: Fractal attractors, quasimultistability, and final state sensitivity
Brandon B. Le
Although neuron models have been well studied for their rich dynamics and biological properties, limited research has been done on the complex geometries that emerge from the basin…
Chaotic Dynamics and Fractal Geometry in Ring Lattice Systems of Nonchaotic Rulkov Neurons
Brandon B. Le
This paper investigates the complex dynamics and fractal attractors that arise in a 60-dimensional ring lattice system of electrically coupled nonchaotic Rulkov neurons. While netw…
Exploring Geometrical Properties of Chaotic Systems Through an Analysis of the Rulkov Neuron Maps
Brandon B. Le, Nivika A. Gandhi
While extensive research has been conducted on chaos emerging from a dynamical system's temporal dynamics, our research examines extreme sensitivity to initial conditions in discre…