In this paper, we show a zero-Hopf bifurcation in a four-dimensional smooth quadratic
autonomous hyperchaotic system. Using averaging theory, we prove the existence of …

Pituitary cells are electrically excitable. A core set of intracellular ion channels cooperate in
providing the basic conditions for the generation of electro-excitable patterns. Although …

Pituitary cells release hormones based on firing patterns, mediated by multiple ionic
currents. Analyzing a single channel's effect on firing is insufficient. We used a four …

The complex dynamics of a newly proposed 4D hyperchaotic Lorenz-type system are
studied in this paper. The sufficient conditions for the emergence and stability of periodic …

Due to the wide interdisciplinary use of discontinuous piecewise differential systems and the
main role of the periodic solutions in understanding and explaining many natural …

We prove that the Volterra‐Gause system of predator‐prey type exhibits 2 kinds of zero‐
Hopf bifurcations for convenient values of their parameters. In the first, 1 periodic solution …

An equilibrium point of a differential system in R3 such that the eigenvalues of the Jacobian
matrix of the system at the equilibrium are 0 and±ωi with ω> 0 is called a zero-Hopf …

In this work, analytical proofs of the existence of fold Hopf bifurcation in hyperchaotic Chen
system and new hyperchaotic system are characterized. Based on the averaging theory …

In this paper, the integrability and a zero-Hopf bifurcation of the fourdimensional Lotka-
Volterra systems are studied. The requirements for this kind of system's integrability and a …

Chaotic attractors with no equilibria, with an unstable node, and with stable node‐focus are
presented in this paper. The conservative solutions are investigated by the semianalytical …