We give a short survey on the concept of contact Hamiltonian dynamics and its use in
several areas of physics, namely reversible and irreversible thermodynamics, statistical …

We use a formulation of Noether's theorem for contact Hamiltonian systems to derive a
relation between the thermodynamic entropy and the Noether invariant associated with time …

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 …

This is our current research perspective on models providing insight into statistical
mechanics. It is necessarily personal, emphasizing our own interest in simulation as it …

One of the main applications for chaotic circuits is the production of aperiodic signals with
many of the characteristics of noise for secure communications and similar uses. However …

Gibbs' canonical ensemble describes the exponential equilibrium distribution f (q, p, T)∝ e−
H (q, p)/kT for an ergodic Hamiltonian system interacting with a 'heat bath'at temperature T …

Before embarking on more complicated and more interesting simulations of nonlinear
dynamical systems in higher dimensions, it is important to have a good understanding of low …

Inspired by the structure of the single-clew-shaped conservative chaotic flows generated
from the Nosé–Hoover oscillator, the possible local dynamic behaviors of the thermostatted …

A methodology to sample the isothermal-isobaric ensemble using Langevin dynamics is
proposed, which combines novel features of geometric integrators for the equations of …

As a classical volume-conservative system, the Nosé-Hoover oscillator can generate
conservative chaos and nested invariant tori. In this paper, a new 3D system is derived from …