Dynamics Of PSS Self-Oscillating Gel In Complex Oscillatory Media

Signal-driven movement of active matter is a common mode of motion in nature.The chemical wave-driven BZ self-oscillating gel is a typical signal-driven motion system that can achieve directional movement through the mechanism of converting reaction into mechanical force.However,only a two-variable Oregonator model with a pair of positive and negative feedback loops cannot explain complex biological phenomena.The complex networks of multi-feedback are general in nature,and it is necessary to study the self-oscillating gel dynamics in complex oscillating and chaotic media.This thesis plans to construct an internally driven self-oscillating responsive gel model using the Peng-Scott-Showalter three-variable model(including two positive feedback and one negative feedback)and to study the control mechanism of complex self-oscillating gel dynamics through numerical simulation and theoretical analysis.The mechanism and control of the homogeneous dynamic bifurcation were simulated and explored through the dimensionless PSS three-variably three-feedback model.Using system parameters μ,κ,σ,and δ as control variables,the evolution trend and parameter modulation effect of dynamical bifurcation on homogeneous reaction were studied,the various system parameter ranges were determined,the modulation rules of oscillatory dynamics such as simple oscillations,period doubling oscillations,chaotic response,and quasi-periodic oscillations caused by the increase of parameters κ,σ,and δ were obtained.Changes in κ,σ,and δ could simplify the bifurcation structure of systematic dynamics.The research conclusions can provide a parameter basis for working with the self-oscillating gel system.The PSS self-oscillating gel system was developed by the dimensionless PSS reaction-coupled gel elastic lattice model(g LSM),the complex oscillatory dynamics of multi-feedback gel systems and the bifurcation path including simple oscillation,mixed mode oscillation,chaos,and the return of double period to simple oscillation were obtained.In the gel medium systems,the modulation rules of parameters including coupling coefficient and gel size on self-oscillating gel dynamics were studied.Among them,the coupling coefficient had the most significant impact on the dynamics of the gel system,the increase of its value was conducive to the complexity of the bifurcation structure,complex dynamics such as period doubling,period doubling of mixed mode oscillations and quasi-periodic oscillations would appear in the system.The research conclusions have important significance for understanding the multi-feedback self-oscillating gel dynamics and provide a theoretical basis for designing chemical wave-driven gel motion.Pulse waves and spiral waves were induced in the PSS self-oscillating gel system to construct the motion model of the gel driven by chemical waves.The relationship between local dynamics and gel motion in the PSS self-oscillating gel system driven by chemical waves was studied by varying system parameters,coupling coefficient,and gel size.When the gel was driven by pulse waves,it underwent backward-wave motion.Under the modulation of system parameter μ,the dynamics of self-oscillating gel could be divided into simple oscillation and complex oscillation.The effective increase in the driving force of pulse wave was due to the decrease of the system parameter μ and the increase of coupling coefficient and gel size,and thus increased the motional displacement and velocity of the gel.In the spiral wave-driven gel system,when the gel dynamics were characterized by simple oscillation with small amplitude,the spiral tip was at the center of the gel,and there was no net displacement.When the gel dynamics were characterized by chaos or quasi-periodic oscillations with large amplitude,the spiral tip moved to the four corners of the gel,causing roaming and driving the gel to move in a circular motion with the diameter of the circle decreasing as systematic parameter μ increased.Increasing the coupling coefficient could promote the occurrence of complex oscillation in gel dynamics and promoted the the appearance of circular motion.This thesis contains 44 figures,3 tables,and 121 references.