“…Multi-basin process is one of the widely used dynamical systems that have plenty of application areas, including machine learning, electrical engineering, industrial engineering, applied mathematics, and so on (Chiang et al, 1995;Jardim et al, 2000;Jung et al, 2010;Jung et al, 2011;Kim and Lee, 2007;Lee, 2003;Lee and Chiang, 2004;Lee and Lee, 2005;Lee, 2005;Lee et al, 2009;Lee and Lee, 2010). In particular, let us consider a nonlinear dynamic system described by ( )/ ( ( )) dz t dt F z t =…”