1994
Solitons in a nonlinear DNA model
Jorge A. González, Miguel Martín-Landrove
Physics Letters A, Volume 191, Issues 5-6, 1994, pages 409-415
A complete qualitative analysis of the nonlinear DNA torsional equations proposed by Yakushevich [Phys. Lett. A 136 (1989) 413] is performed. Analytical expressions for some solutions are obtained. Special attention is paid to the stability of the solutions and the range of soliton interaction in the general case. Some biological implications are suggested
Bifurcations and chaos of DNA solitonic dynamics
Jorge A. González, Miguel Martín-Landrove, José R. Carbó, Marcelo Chacón
International Centre for Theoretical Physics, IC/94/301
We investigated the nonlinear DNA torional equations proposed by Yakushevich [1] in the presence of damping and external torques. Analytical expresions for some solutions are obtained in the case of the isolated chain. Special attention is paid to the stability of the solutions and the range of soliton interaction in the general case. The bifurcation analysis is performed and prediction of chaos is obtained for some set of parameters. Some biological implications are suggested.
