Bifurcation and chaos in a smooth 3D dynamical system extended from Nosé-Hoover oscillator
The chaotic system with complicated dynamical behaviors has high potential in practical
applications. This paper reports a simple smooth 3D dynamical system that is derived from …
applications. This paper reports a simple smooth 3D dynamical system that is derived from …
Extreme multi-stability analysis of a novel 5D chaotic system with hidden attractors, line equilibrium, permutation entropy and its secure communication scheme
In this paper a new 5D chaotic system with line equilibrium is designed and described to
reveal its extreme multi-stability. Hence, all of the resulting attractors are hidden. The …
reveal its extreme multi-stability. Hence, all of the resulting attractors are hidden. The …
A tribute to JC Sprott
In honor of his 75th birthday, we review the prominent works of Professor Julien Clinton
Sprott in chaos and nonlinear dynamics. We categorize his works into three important …
Sprott in chaos and nonlinear dynamics. We categorize his works into three important …
On a 3-D generalized Hamiltonian model with conservative and dissipative chaotic flows
Based on the generalized Hamiltonian system, a new method for constructing a class of
three-dimensional (3-D) chaotic systems is presented in this paper. After choosing the …
three-dimensional (3-D) chaotic systems is presented in this paper. After choosing the …
Ergodicity of a singly-thermostated harmonic oscillator
WG Hoover, JC Sprott, CG Hoover - Communications in Nonlinear Science …, 2016 - Elsevier
Although Nosé's thermostated mechanics is formally consistent with Gibbs' canonical
ensemble, the thermostated Nosé–Hoover (harmonic) oscillator, with its mean kinetic …
ensemble, the thermostated Nosé–Hoover (harmonic) oscillator, with its mean kinetic …
The equivalence of dissipation from Gibbs' entropy production with phase-volume loss in ergodic heat-conducting oscillators
PK Patra, WG Hoover, CG Hoover… - International Journal of …, 2016 - World Scientific
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 …
responds to heat transfer to and from thermal reservoirs. We compare the thermodynamic …
Adaptive Runge–Kutta integration for stiff systems: Comparing Nosé and Nosé–Hoover dynamics for the harmonic oscillator
W Graham Hoover, J Clinton Sprott… - American Journal of …, 2016 - pubs.aip.org
We describe the application of adaptive (variable time step) integrators to stiff differential
equations encountered in many applications. Linear harmonic oscillators subject to …
equations encountered in many applications. Linear harmonic oscillators subject to …
Consistent evaluation of continuum scale properties of two-dimensional materials: a case study on graphene
We handshake statistical mechanics with continuum mechanics to develop a methodology
for consistent evaluation of the continuum scale properties of two-dimensional materials …
for consistent evaluation of the continuum scale properties of two-dimensional materials …
A simple generalization of Prandtl–Tomlinson model to study nanoscale rolling friction
Prandtl–Tomlinson (PT) model can be used to explain nanoscale friction in a variety of
situations, except when a nanoscale object undergoes rolling. To alleviate this problem, we …
situations, except when a nanoscale object undergoes rolling. To alleviate this problem, we …
A multiscale method for simulating fluid interfaces covered with large molecules such as asphaltenes
The interface between two liquids is fully described by the interfacial tension only for very
pure liquids. In most cases the system also contains surfactant molecules which modify the …
pure liquids. In most cases the system also contains surfactant molecules which modify the …