Based on Sprott D system, a simple three-dimensional autonomous system with no equilibria
is reported. The remarkable particularity of the system is that there exists a constant …

We report on the finding of hidden hyperchaos in a 5D extension to a known 3D self-exciting
homopolar disc dynamo. The hidden hyperchaos is identified through three positive …

The paper presents a new four-dimensional hyperchaotic system developed by extension of
the generalized diffusionless Lorenz equations. The model is shown to not be equivalent to …

This paper presents a new 3-D autonomous chaotic system, which is topologically non-equivalent
to the original Lorenz and all Lorenz-like systems. Of particular interest is that the …

Based on Rabinovich system, a 4D Rabinovich system is generalized to study hidden
attractors, multiple limit cycles and boundedness of motion. In the sense of coexisting attractors, …

This paper proposes a chaotic jerk system coexisting with only one non-hyperbolic equilibrium
with one zero eigenvalue and a pair of complex conjugate eigenvalues. The system has …

We introduce for the first time a fractional-order hyperchaotic economic system. In this system,
chaos generation depends upon the value of fractional-order. For certain fractional orders, …

This paper describes a class of third-order explicit autonomous differential equations, called
jerk equations, with quadratic nonlinearities that can generate a catalog of nine elementary …

This paper shows some examples of chaotic systems for the six types of only one hyperbolic
equilibrium in changed chameleon-like chaotic system. Two of the six cases have hidden …

Four-dimensional chaotic systems are a very interesting topic for researchers, given their
special features. This paper presents a novel fractional-order four-dimensional chaotic system …