Amplitude control and projective synchronization of a dynamical system with exponential nonlinearity

作者：Li, Chunlai^*; Su, Kalin; Zhang, Jing

来源：Applied Mathematical Modelling, 2015, 39(18): 5392-5398.

DOI：10.1016/j.apm.2015.01.012

• Chaotic system
• Exponential nonlinear term
• Amplitude control
• Projective synchronization

A dynamical system with exponential nonlinearity is reported in this paper. Analysis shows that one can flexibly control signal amplitude of the system by introducing control function in the exponential nonlinear term, and the corresponding Lyapunov exponents keep invariable. But the coefficient in cross-product term cannot provide amplitude modulation. By considering the fact that the unique amplitude function can provide the scale factors, a control scheme combining the techniques of linear feedback and variable substitution is presented to realize projective synchronization of the chaotic system.

• 出版日期2015-9-15
• 单位湖南理工学院