Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …

In 1979, Moffatt pointed out that the conventional treatment of the simplest self-exciting
homopolar disc dynamo has inconsistencies because of the neglect of induced azimuthal …

Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced
oscillator with spatially-perio Page 1 Eur. Phys. J. Special Topics 226, 1979–1985 (2017) © …

Compared to dissipative chaotic system, conservative chaotic systems have some attractive
features valuable for engineering applications, such as security communication. This paper …

We report on the finding of hidden hyperchaos in a 5D extension to a known 3D self-exciting
homopolar disc dynamo. The hidden hyperchaos is identified through three positive …

The topic associated with hidden attractor and multistability has been received considerable
attention recently. In this paper, a novel no-equilibrium Jerk-like chaotic system is …

Nowadays, chaotic systems are attracting considerable attention due to their special
features. The aim of this paper is to study a four-dimensional system that lacks any …

Simple systems of third-order autonomous nonlinear differential equations can exhibit
chaotic behavior. In this paper, we present a new class of chaotic flow with a square-shaped …

In this paper, we introduce an interesting new megastable oscillator with infinite coexisting
hidden and self-excited attractors (generated by stable fixed points and unstable ones) …

In this work, a new fractional-order chaotic system with a single parameter and four
nonlinearities is introduced. One striking feature is that by varying the system parameter, the …