In this paper, the Peyrard–Bishop–Dauxois model of DNA dynamics is discussed along with
the fractional effects of the M-truncated derivative and β-derivative. The Kudryashov's R …

We investigate the computational performance of various numerical methods for the
integration of the equations of motion and the variational equations for some typical classical …

We investigate the distribution of bubble lifetimes and bubble lengths in DNA at
physiological temperature, by performing extensive molecular dynamics simulations with the …

We present and validate simple and efficient methods to estimate the chaoticity of orbits in
low-dimensional conservative dynamical systems, namely, autonomous Hamiltonian …

Relative lifetimes of inherent double stranded DNA openings with lengths up to ten base
pairs are presented for different gene promoters and corresponding mutants that either …

Mobile discrete breathers (MDBs) are here suggested as localized excitations underlying
the trapping and transport of charged particles (electron or hole) along a DNA-like molecular …

Given the uniform structure observed in existing conservative chaotic systems, this paper
presents a novel approach for constructing 3D conservative chaotic systems with dissipative …

In this paper we investigate the use of Machine Learning techniques, specifically Support
Vector Machines (SVMs), to classify chaotic and regular trajectories in Hamiltonian systems …

This paper reports a method to derive a novel class of 3D generalized thermostatted
oscillators from a simple damped harmonic oscillator. Its detailed procedure is obtained …

We numerically investigate the dynamics of strongly disordered 1D lattices under single-
particle displacements, using both the Hertzian model, describing a granular chain, and the …