Synchronization of the Frenet-Serret linear system with a chaotic nonlinear system by feedback of states
G. Solis-Perales, H. C. Rosu, C. Hernandez-Rosales
Abstract
A synchronization procedure of the generalized type in the sense of Rulkov et al [Phys. Rev. E 51, 980 (1995)] is used to impose a nonlinear Malasoma chaotic motion on the Frenet-Serret system of vectors in the differential geometry of space curves. This could have applications to the mesoscopic motion of biological filaments
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