Chimeras are this year coming of age since they were first observed by Kuramoto and
Battogtokh in 2002 in a one-dimensional network of complex Ginzburg–Landau equations …

In this paper, a simple four-wing chaotic attractor is first proposed by replacing the constant
parameters of the Chen system with a periodic piecewise function. Then, a new 4D four …

Networks of coupled oscillators have been used to model various real-world self-organizing
systems. However, the dynamics, especially chaos and bifurcation, of complex-valued …

In this article, we analyze the projective synchronization of fractional-order neural networks
with mixed time delays. By introducing an extended Halanay inequality that is applicable for …

In this work, a novel 6D four‐wing hyperchaotic system with a line equilibrium based on a
flux‐controlled memristor model is proposed. The novel system is inspired from an existing …

In this article, a novel dynamic system, the fractional-order complex Lorenz system, is
proposed. Dynamic behaviors of a fractional-order chaotic system in complex space are …

In this paper, the fractional-order generalized Lotka–Volterra (GLV) model and its
discretization are investigated qualitatively. A sufficient condition for existence and …

In this study, we introduce a new fractional order hyperchaotic system. We prove the
existence and uniqueness of the solution to the proposed system. We also study the stability …

Based on one drive system and one response system synchronization model, a new type of
combination–combination synchronization is proposed for four identical or different chaotic …

Complex networks have been extensively investigated in recent years. However, the
dynamics, especially chaos and bifurcation, of the complex-valued complex network are …