activity
20242026
most citedAsymmetric coupling of nonchaotic Rulkov neurons: Fractal attractors, quasimultistability, and final state sensitivity

8 citations · 14 across the 14 of their papers we have counts for

collaborators

17 papers

hep-ph2026

Octupole parton structure of spin-3/2 targets

Brandon B. Le, Dustin Keller

In spin- targets, octupole polarization can reveal quark and gluon correlations beyond those probed by vector polarization and quadrupole alignment. Here, we construct the com…

cond-mat.str-el2026

Dynamical signatures of deconfined spinons in dimerized sawtooth chains

Nishan Ranabhat, Brandon B. Le, Seung-Hun Lee +1

We study the ground-state properties and dynamical response of the Heisenberg model on the sawtooth chain in and away from the exactly solvable valence-bond-solid (VBS) point. We e…

cond-mat.dis-nn2026

Frustrated neurons: Energy landscapes and relaxation dynamics in repulsive phase oscillators

Brandon B. Le

Geometrical frustration, a central paradigm in condensed matter physics, provides a unifying language for systems in which locally preferred interactions cannot be made globally co…

cond-mat.str-el2026

Schwinger-Boson Mean-Field Study of the Anisotropic Kagome Antiferromagnet

Sankha Subhra Bakshi, Brandon B. Le, Seung-Hun Lee +1

We investigate the effect of spatial exchange anisotropy on the spin- kagome antiferromagnet using Schwinger-boson mean-field theory. The anisotropy is introduced by strengthe…

hep-ph2026

Basis for non-derivative baryon-number-violating operators

Julian Heeck, Brandon B. Le

We present a minimal basis for non-derivative baryon-number-violating operators in the Standard Model Effective Field Theory up to mass dimension 11, as well as for the $(ΔB,ΔL) =…

cond-mat.soft2026

Active-learning mapping of the Vicsek model phase diagram

Grace T. Bai, Brandon B. Le

The Vicsek model is a minimal model of collective motion, capturing how local alignment interactions can generate macroscopic nonequilibrium order in systems such as bird flocks. I…

cond-mat.stat-mech2026

Energy landscape of the kagome antiferromagnet: Characterization of multiple energy scales

Brandon B. Le, Seung-Hun Lee, Gia-Wei Chern

We investigate the energy landscape of the kagome Heisenberg antiferromagnet within its coplanar ground-state manifold. Although coplanar states are degenerate at harmonic order, t…

cs.LG2026

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…

cond-mat.stat-mech2026

Phase-space networks and connectivity of the kagome antiferromagnet

Brandon B. Le, Seung-Hun Lee, Gia-Wei Chern

We study the coplanar ground-state manifold of the kagome Heisenberg antiferromagnet using a phase-space network representation, in which nodes correspond to coplanar ground states…

nlin.CD2025

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…

q-bio.NC2025

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…

nlin.CD2025★ 2 cited

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…

cs.LG2025

Compton Form Factor Extraction using Quantum Deep Neural Networks

Brandon B. Le, Dustin Keller

We extract Compton form factors (CFFs) from deeply virtual Compton scattering measurements at the Thomas Jefferson National Accelerator Facility (JLab) using quantum-inspired deep…

nlin.CD2024★ 8 cited

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…

nlin.CD2024★ 2 cited

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…

math.GM2024★ 1 cited

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…

nlin.CD2024★ 1 cited

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…