Enhancing the emergence of hyperchaos using an indirect coupling and its verification based on digital implementation

In this work, an indirect coupling used in a pair of simple autonomous discrete systems in order to enhance the emergence of hyperchaos is presented. The peculiarity that the used systems will never generate chaotic or hyperchaotic dynamics by itself makes this case an interesting problem to address. Moreover, it is possible to achieve in-phase or anti-phase synchronization by varying some parameters of the indirect coupling. Additionally, different methods to analyze the emerging dynamics of the coupled systems using an indirect coupling compared to a conventional coupling are presented. Finally, an electronic digital implementation is conducted by using the SPI protocol of two coupled PIC-24FJ64GA006 16-bit microcontrollers.