Synchronization of the Frenet-Serret linear system with a chaotic nonlinear system by feedback of states
arXiv:physics/0410031 · doi:10.1007/s10773-005-3993-6
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
12 pages, 7 figures, accepted at Int. J. Theor. Phys