Polarity reversals of the geomagnetic field are a major feature of the Earth's dynamo.
Questions remain regarding the dynamical processes that give rise to reversals and the …

This concise and up-to-date textbook provides an accessible introduction to the core
concepts of nonlinear dynamics as well as its existing and potential applications. The book …

This research work describes the modelling of two novel 3-D chaotic systems, the first with a
hyperbolic sinusoidal nonlinearity and two quadratic nonlinearities (denoted as system (A)) …

The security concern in recent times has been rising exponentially, this has lead for highly
secured image transmission. Chaos-based image encryption is increasingly used to protect …

Anti-synchronization of chaotic systems deals with the problem of asymptotically
synchronizing the sum of states of a pair of chaotic systems called master and slave systems …

Abstract Fractional-order Geomagnetic Field model is considered in this work. A sufficient
condition is used to prove that the solution of the fractional-order Geomagnetic Field model …

Magnetorotational dynamo action in Keplerian shear flow is a three-dimensional nonlinear
magnetohydrodynamic process, the study of which is relevant to the understanding of …

The permutation entropy concept of Bandt and Pompe (2002 Phys. Rev. Lett. 88 174102) is
used to analyze the fluctuations in ion saturation current that spontaneously arise in a basic …

Flow reversals in two-dimensional Rayleigh–Bénard convection led by non-Oberbeck–
Boussinesq (NOB) effects due to large temperature differences are studied by direct …

There have been many different investigations of nonlinear dynamical systems. In this
paper, we introduce a new chaotic system. In the proposed system, the attractor can be …