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 …

The present work is devoted to giving new insights into a new Lorenz-like chaotic system.
The local dynamical entities, such as the number of equilibria, the stability of the hyperbolic …

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 …

This paper discusses the complex dynamics of a new four-dimensional continuous-time
autonomous hyperchaotic Lorenz-type system. The local dynamics, such as the stability …

In this paper, the fractional-order complex T system is proposed. The dynamics of the system
including symmetry, the stability of equilibrium points, bifurcations with variation of system …

A three-dimensional autonomous chaotic system is presented and physically implemented.
Some basic dynamical properties and behaviors of this system are described in terms of …

This paper formulates a new three-dimensional chaotic system that originates from the
Lorenz system, which is different from the known Lorenz system, Rössler system, Chen …

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 …