Synchronization and anti-synchronization of chaos in an extended Bonhöffer–van der Pol oscillator using active control

In this paper, we investigate the complete synchronization and anti-synchronization (AS) of double-scroll chaotic attractor exhibited by an extended Bonhöffer–van der Pol (BVP) oscillator, using active control technique. In both synchronization schemes, the oscillators show good transient performance; while the AS state is further shown to correspond with complete inverse synchronization. Numerical simulations are also presented to verify the theoretical results.