Lotka's seminal work (Lotka AJ, Proc. Natl. Acad. Sci. USA, 6 (1920) 410)" on certain
rhythmic relations" is already one hundred years old, but the research activity about pattern …

Fractals play an important role in nonlinear science. The most important parameter when
modeling a fractal is the fractal dimension. Existing information dimension can calculate the …

The dynamic behavior of a vibrational electromagnetic generator using a magnetic levitation
architecture was theoretically and experimentally studied in great detail, when operating …

This article aims to investigate the points of equilibrium and the associated convergence
basins in the restricted problem with two primaries, with a modified gravitational potential. In …

We present a fully automated method that identifies attractors and their basins of attraction
without approximations of the dynamics. The method works by defining a finite state …

Multistability is an inherent property of many nonlinear dynamical systems. However, finding
exact conditions where a certain nonlinear system is multistable, is a complex problem. In …

In biological control programs, the provision of additional food is regarded as one of the
most useful tools for species conservation and pest management. In a system, providing …

The existence of neutral species carries profound ecological implications that warrant further
investigation. In this paper, we study the impact of neutral species on biodiversity in a spatial …

Multistability is a common phenomenon which naturally occurs in complex networks. Often
one of the coexisting stable states can be identified as being the desired one for a particular …

We numerically investigate the effect of oblateness parameter on the topology of basins of
convergence connected with the equilibrium points in the restricted three-body problem …