62 citations · 201 across the 14 of their papers we have counts for
15 papers
The Butterfly Effect in Primary Visual Cortex
Jizhao Liu, Jing Lian, J C Sprott +2
Exploring and establishing artificial neural networks with electrophysiological characteristics and high computational efficiency is a popular topic in the field of computer vision…
The Nosé-Hoover, Dettmann, and Hoover-Holian Oscillators
William Graham Hoover, Julien Clinton Sprott, Carol Griswold Hoover
To follow up recent work of Xiao-Song Yang on the Nosé-Hoover oscillator we consider Dettmann's harmonic oscillator, which relates Yang's ideas directly to Hamiltonian mechanics. W…
A Tutorial: Adaptive Runge-Kutta Integration for Stiff Systems : Comparing the Nosé and Nosé-Hoover Oscillator Dynamics
William Graham Hoover, Julien Clinton Sprott, Carol Griswold Hoover
"Stiff" differential equations are commonplace in engineering and dynamical systems. To solve them we need flexible integrators that can deal with rapidly-changing righthand sides.…
The Equivalence of Dissipation from Gibbs' Entropy Production with Phase-Volume Loss in Ergodic Heat-Conducting Oscillators
Puneet Kumar Patra, William Graham Hoover, Carol Griswold Hoover +1
Gibbs' thermodynamic entropy is given by the logarithm of the phase volume, which itself responds to heat transfer to and from thermal reservoirs. We compare the thermodynamic diss…
Synchronization of two Rossler systems with switching coupling
Mattia Frasca, Arturo Buscarino, Marco Branciforte +2
In this paper, we study a system of two Rossler oscillators coupled through a time-varying link, periodically switching between two values. We analyze the system behavior with resp…
Nonequilibrium Systems : Hard Disks and Harmonic Oscillators Near and Far From Equilibrium
William Graham Hoover, Carol Griswold Hoover, Julien Clinton Sprott
We relate progress in statistical mechanics, both at and far from equilibrium, to advances in the theory of dynamical systems. We consider computer simulations of time-reversible d…