8 citations · 14 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
Describing chaotic systems
Brandon Le
In this paper, we discuss the Lyapunov exponent definition of chaos and how it can be used to quantify the chaotic behavior of a system. We derive a way to practically calculate th…
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…