A new hyperchaotic system and its synchronization (Q846410): Difference between revisions

The authors study hyperchaotic behavior in the system \[ \begin{aligned} \dot{x} & =a\left( y-x\right) +w,\\ \dot{y} & =bx+cy+xz+w,\\ \dot{z} & =-x^{2}-hz,\\ \dot{w} & =-dy. \end{aligned} \] Varying parameter \(d,\) they explore the dynamics of the system by studying numerically Lyapunov exponents and Poincaré sections, analyzing bifurcation diagrams and periodic orbits. By employing adaptive control theory, sufficient conditions for the full state hybrid projective synchronization are derived. Numerical simulations are also provided.