This paper reports a new 3D sub-quadratic Lorenz-like system and proves the existence of
two pairs of heteroclinic orbits to two pairs of nontrivial equilibria and the origin, which are …

Little seems to be considered about the globally exponentially asymptotical stability of
parabolic type equilibria and the existence of heteroclinic orbits in the Lorenz-like system …

Through revisiting the four-dimensional chaotic system discussed in Wang et al.(Dyn Syst
Control 8: 129, 2019), its hidden dynamical behaviors that were not reported previously can …

Combining qualitative analysis and numerical technique, the present work revisits a four-
dimensional circuit system in [Ma et al., 2016] and mainly reveals some of its rich dynamics …

Revisiting a newly reported modified Chen system by both the definitions of $\alpha $-limit
and $\omega $-limit set, Lyapunov function and Hamiltonian function, this paper seized a …

Very little research is available in the field of sub-quadratic chaotic systems. This note
reports a new 3D sub-quadratic Lorenz-like system:\({\dot {x}}= a (yx)\),\({\dot {y}}= c\root 3\of …

In this note, by using the theory of bifurcation and Lyapunov function, one performs a
qualitative analysis on a novel four-dimensional unified hyperchaotic Lorenz-type system …

Based on the famous Shimizu–Morioka system, this paper proposes a novel five-
dimensional Shimizu–Morioka-type hyperchaotic system that has an infinite set of …

We propose a construction algorithm that takes advantage of the geometric features of linear
eigenspaces with focus-saddle and center-node equilibrium points to construct piecewise …

This work presents the straightforward design of an integral controller with an anti-windup
structure to prevent undesirable behavior when actuator saturation is considered, and the …