6 papers
Quantum Qualifiers for Neural Network Model Selection in Hadronic Physics
Brandon B. Le, D. Keller
As quantum machine-learning architectures mature, a central challenge is no longer their construction, but identifying the regimes in which they offer practical advantages over cla…
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…
Ubiquity of Uncertainty in Neuron Systems
Brandon B. Le, Bennett Lamb, Luke Benfer +3
We demonstrate that final-state uncertainty is ubiquitous in multistable systems of coupled neuronal maps, meaning that predicting whether one such system will eventually be chaoti…
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…