Cell mapping method and its applications in nonlinear stochastic dynamical systems

This papier introduces the development of several cell mapping methods closely associated with nonlinear stochastic dynamieal systems, ineluding generalized cell mapping method with digraph, cell mapping method based on short-Time Gaussian approximation, parallel cell mapping method ete. The applications of cell mapping method in stochastic dynamieal systems are also shown, focusing on stochastic responsex bifurcation exit and vibro-impaet system. Finally, some challenges and possible future researches about cell mapping method are presented.