We consider the dynamical effects of electromagnetic flux on the discrete Chialvo neuron
model. It is shown that the model can exhibit rich dynamical behaviors such as multistability …

We present whfast, a fast and accurate implementation of a Wisdom–Holman symplectic
integrator for long-term orbit integrations of planetary systems. whfast is significantly faster …

We analyse the dynamics of the improved discretised version of the well known Izhikevich
neuron model under the action of external electromagnetic field. It is found that the improved …

In this paper we apply a new technique alternative to the numerically computed Lyapunov
Characteristic Number (LCN) for studying the dynamical behaviour of planetary systems in …

The reader can find in the literature a lot of different techniques to study the dynamics of a
given system and also, many suitable numerical integrators to compute them …

Purpose Composite sandwich structures are becoming an essential part of engineering
appliances due to their excellent mechanical and structural properties, high strength-to …

A bstract We have investigated the motion of timelike particles along geodesic in the
background of accelerating and rotating black hole spacetime. We confirm that chaos exists …

Although the discovery of the chaotic motion of the inner planets in the Solar System
(Mercury to Mars) was made more than 30 years ago, the secular chaos of their orbits still …

We compare three methods for computing invariant Lyapunov exponents (LEs) in general
relativity. These methods involve the geodesic deviation vector technique (M1), the two …

In a recent work of Wu, Wang, Sun and Liu, a second-order explicit symplectic integrator was
proposed for the integrable Kerr spacetime geometry. It is still suited for simulating the …