Abstract:
We design a unidirectional coupling between two hyperchaotic circuits named 4D manifold piecewise linear hyperchaos generator (4D-MPL). The linear feedback scheme we adopt here to construct hyperchaotic synchronized systems can be considered as a special case of active-passive decomposition (APD). In our design, the relation between the coupling parameters and the CLEs is obtained analytically, and thus it is very convenient to set any desired negative numbers as the CLEs, which will lead to stable synchronous motion according to the APD mechanism. In regard to its application to secure communication, several advantages are testified by numerical simulation together with corresponding theoretical explanation.