Self-oscillating gel period regulation based on numerical continuation method
Self-oscillating gels are a class of deformable polymers driven by self-oscillating reactions,which can generate periodic deformation without any external stimulation,and are widely used in the research of biomimetic creeping robots.The chemical-mechanical relation of self-oscillating gels has always been the focus of research.In this paper,based on the mechanical properties of Ru(bpy)3-catalyzed N-isopropylacrylamide(IPAAm)polymer gels and the 3-dimensional Oregonator model of the Belousov-Zhabotinsky reaction,the chemical-mechanical coupling model of the gel was established,and a numerical continuation algorithm was constructed,by which the variation of the self-oscillating gel periodicity with varying parameters is studied.Through the numerical continuation method of differential-algebraic equations constructed in this paper,the limit cycle of self-oscillating gels can be effectively determined,which provides a design basis for the period control of self-oscillating gels.