In this paper, we present a novel approach to achieve finite-time synchronization (FTS) in a
certain class of fractional-order complex-valued neural networks (CVNNs) containing …

In this paper, we are particularly interested in the fractional form of the Hénon-Lozi type map.
Using discrete fractional calculus, we show that the general behavior of the proposed …

We present a class of extreme events manifested in dynamical systems involving time-
dependent attractive and repulsive couplings. We consider two cases of time-varying …

In the present study, we investigate the dynamic behavior of the fractional-order Bonhoeffer–
van der Pol (BVP) oscillator. Previous studies on the integer-order BVP have shown that it …

Many natural and man-made systems require suitable feedback to function properly. In this
study, we aim to investigate the impact of additional complex conjugate feedback on globally …

Mixed-mode oscillations (MMOs) are a typical manifestation of slow-fast dynamical systems
that contains a sequence of large amplitude excursions interspersed with small amplitude …

In recent times, the fractional-order dynamical networks have gained lots of interest across
various scientific communities because it admits some important properties like infinite …

We report novel bifurcation delays and chimera-like states in a network of driven FitzHugh-
Nagumo (FHN) oscillators, where each oscillator can rotate either clockwise or …

The attractive coupling, in combination with the repulsive coupling, plays a significant role in
eliciting a variety of collective dynamical behaviors. Due to its importance, we present a brief …

In the training course of the theory of differential equations, there exists a section on the
investigation of the stability of systems of differential equations. If the system of differential …