Multistability route in a PWL multi-scroll system through fractional-order derivatives

Recently, it was discovered that the use of fractional derivatives induces occurrence multistable states in PWL systems with multiple scrolls. In this paper, we show emergence a system and study route to transition from monostable behavior by reducing order derivative. Using bifurcation diagrams describe evolution attractor as consequence change derivative basins attraction, has path multistability reveals mechanism for behavior. The resulting dynamics shows coexistence up n + 2 attractors, where is number scrolls generated integer-order system, which been confirmed two different n-multi-scrolls systems. Moreover, existence uniqueness proved Poincaré sections, behaviors exist, coexist, are not section same solution.