Multiple Alternatives of Offset Boosting in a Symmetric Hyperchaotic Map

The offset as the average value of a variable plays an important role in signal processing and system design. Offset boosting can be realized by non-bifurcation parameter or initial condition. In this work, symmetric coexisting attractors with opposite polarity 2D hyperchaotic map multiple modes are proposed, where controlled both condition parameter, result, alternatives competition show up. Consequently, final is determined eventually balance two factors. theoretical findings verified through hardware experiment based on STM32. Finally, pseudo-random number generator (PRNG) constructed newly proposed map, demonstrating its high performance engineering applications.