Abstract
We investigated the nonlinear DNA torsional equations proposed by Yakushevich in the presence of damping and external torques. Analytical expressions 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. (author). 11 refs, 13 figs.
Gonzalez, J A;
[1]
Martin-Landrove, M;
[2]
Carbo, J R;
Chacon, M
[3]
- International Centre for Theoretical Physics, Trieste (Italy)
- Universidad Central de Venezuela, Caracas (Venezuela). Lab. de Fisica Molecular
- Camagueey Univ., Camagueey (Cuba). Grupo de Sistemas Dinamicos No Lineales
Citation Formats
Gonzalez, J A, Martin-Landrove, M, Carbo, J R, and Chacon, M.
Bifurcations and chaos of DNA solitonic dynamics.
IAEA: N. p.,
1994.
Web.
Gonzalez, J A, Martin-Landrove, M, Carbo, J R, & Chacon, M.
Bifurcations and chaos of DNA solitonic dynamics.
IAEA.
Gonzalez, J A, Martin-Landrove, M, Carbo, J R, and Chacon, M.
1994.
"Bifurcations and chaos of DNA solitonic dynamics."
IAEA.
@misc{etde_10112452,
title = {Bifurcations and chaos of DNA solitonic dynamics}
author = {Gonzalez, J A, Martin-Landrove, M, Carbo, J R, and Chacon, M}
abstractNote = {We investigated the nonlinear DNA torsional equations proposed by Yakushevich in the presence of damping and external torques. Analytical expressions 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. (author). 11 refs, 13 figs.}
place = {IAEA}
year = {1994}
month = {Sep}
}
title = {Bifurcations and chaos of DNA solitonic dynamics}
author = {Gonzalez, J A, Martin-Landrove, M, Carbo, J R, and Chacon, M}
abstractNote = {We investigated the nonlinear DNA torsional equations proposed by Yakushevich in the presence of damping and external torques. Analytical expressions 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. (author). 11 refs, 13 figs.}
place = {IAEA}
year = {1994}
month = {Sep}
}