Change of DNA sequence that fuels evolution is, to a certain extent, a deterministic process
because mutagenesis does not occur in an absolutely random manner. So far, it has not …

Moving breathers is a means of transmitting information in DNA. We study the existence and
properties of moving breathers in a DNA model with short-range interaction, due to the …

Cellular automata are introduced as a model for DNA structure, function and evolution. DNA
is modeled as a one-dimensional cellular automaton with four states per cell. These states …

We study the dynamics of moving discrete breathers in an interfaced piecewise DNA
molecule. This is a DNA chain in which all the base pairs are identical and there exists an …

We present an experimentally realizable, simple mechanical system with linear interactions
whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations …

The present study explores the existence and orbital stability of discrete bright breathers
through the Joyeux-Buyukdagli DNA model incorporating long-range interactions (LRIs) …

We study the properties of moving breathers in a bent DNA model with short range
interaction, due to the stacking of the base pairs, and long range interaction, due to the finite …

We study traveling pulses on a lattice and in a continuum where all pairs of particles interact,
contributing to the potential energy. The interaction may be positive or negative, depending …

Discrete bright breathers are well known phenomena. They are localized excitations that
consist of a few excited oscillators in a lattice and the rest of them having very small …

We study deterministic escape dynamics of the discrete Klein–Gordon model with a
repulsive quartic on-site potential. Using a combination of analytical techniques, based on …