The aim of this paper is to give some new insights into the Shimizu–Morioka system x˙= y,
y˙= x− λ y− xz, z˙=− α z+ x 2, from the integrability point of view. Firstly, we propose a linear …

This paper investigates the two problems of generalized chaotic synchronization. In one
case, the Chen system is treated as the drive system and the controlled Rucklidge system as …

We consider anti-control of Hopf bifurcation for the Shimizu–Morioka system by using an
explicit criterion. We first provide the two conditions for the existence of Hopf bifurcation, that …

A robust exponential function based controller is designed to synchronize effectively a given
class of Chua′ s chaotic systems. The stability of the drive‐response systems framework is …

Abstract Chaos in Shimizu–Morioka system is controlled by applying a Lie algebraic exact
linearization technique. In this state space exact linearization method, a non-linear feedback …

In this paper, two different methods for two (bi)-directional generalized synchronization of
chaotic systems are proposed. The coupling based scheme provides a strategy to design …

In this communication, open-plus-closed-loop (OPCL) coupling method is applied to make
generalized synchronization between two non-linear chaotic dynamical systems. For this …

In the literature on dynamical systems, substantial attention has been paid to the problem of
control and synchronization for nonlinear dynamical systems. In 1990, E Ott, C Grebogi and …

5. Brandt A, Hernández-Arriaga A, Yergaliyev T, Nier A, Halilbasic E, Trauner M, et al. Short-
term intake of fiber-rich oat bran but not spelt bran flake mix lowers bacterial endotoxin …