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Bifurcations and chaos of DNA solitonic dynamics

Technical Report:

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.
Authors:
Gonzalez, J A; [1]  Martin-Landrove, M; [2]  Carbo, J R; Chacon, M [3] 
  1. International Centre for Theoretical Physics, Trieste (Italy)
  2. Universidad Central de Venezuela, Caracas (Venezuela). Lab. de Fisica Molecular
  3. Camagueey Univ., Camagueey (Cuba). Grupo de Sistemas Dinamicos No Lineales
Publication Date:
Sep 01, 1994
Product Type:
Technical Report
Report Number:
IC-94/301
Reference Number:
SCA: 661300; PA: AIX-26:012322; EDB-95:032026; SN: 95001324708
Resource Relation:
Other Information: PBD: Sep 1994
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DNA; DYNAMICS; ANALYTICAL SOLUTION; DAMPING; EIGENFUNCTIONS; EIGENVALUES; NONLINEAR PROBLEMS; SOLITONS; TORQUE; TORSION; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10112452
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE95613446; TRN: XA9438449012322
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
31 p.
Announcement Date:
Jun 30, 2005

Technical Report:

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}
}