Analysis of generalized projective synchronization for a chaotic gyroscope with a periodic gyroscope

作者：Min Fuhong^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2012, 17(12): 4917-4929.

DOI：10.1016/j.cnsns.2012.05.029

• Generalized projective synchronization
• Synchronization appearance
• Synchronization disappearance
• Gyroscope systems

In this paper, a simple nonlinear controller is applied to investigate the generalized projective synchronization for a controlled chaotic gyroscope with a periodic gyroscope dynamical system. The necessary and sufficient conditions for generalized projective synchronization are developed through the theory of discontinuous dynamical systems. The synchronization invariant domain from the synchronization conditions is presented. The parameter maps are explored for a better understanding of the synchronicity of two gyroscopes with different motions. Finally, the partial and full generalized projective synchronizations of two nonlinear coupled gyroscope systems are carried out to verify the effectiveness of the scheme.

• 出版日期2012-12
• 单位南京师范大学