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odels describing cell crawling. ? Other projects include Ratchet models using driving forces generated by deterministic chaotic maps, spatial and temporal symmetry breaking which induces directed transport, ratchet mechanism on biological motors, dynamics on scale free works, etc. Our research ? Complete stability, multistability, in recurrent neural works ? Chaotic dynamics – application to global searching ability of binatorial optimization problems ? Pattern formations in discrete diffusion systems ? Ratchet models using driving forces generated by deterministic chaotic maps ? Stochastic resonance in a biological motor under plex fluctuation ? Dynamics on scale free works Complete stability, Convergence of dynamics ?A unique equilibrium to which everything converges Every orbit converges to one of the equilibrium points Multistability in delayed neural works [Shih, . SIAM Applied Math., 2023] Patterns formations in discrete diffusion systems [Shih, et. al. Physica D, 2023] Reaction diffusion systems Application of chaos in solving TSP [Shih .,Transversal homoclinic orbits in a transiently chaotic neural work, Chaos 2023] Optimal route Cost function Iteration axis Cost value Project to 2dim 11y12yOrder axis City axis Solving TSP via TCNN