Classical and quantum dynamical systems

• Grant number: 03/12097-7
• Support Opportunities: Research Projects - Thematic Grants
• Start date: April 01, 2004
• End date: March 31, 2009
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Coraci Pereira Malta
• Grantee: Coraci Pereira Malta
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Pesquisadores principais: Marcus Aloizio Martinez de Aguiar
• Associated research grant(s): 04/07212-4 - Michel Baranger | Massachussets Institute Technology - Estados Unidos, AV.EXT
• Associated scholarship(s): 07/07027-0 - Statistical properties of the voter model with fixed nodes, BP.IC; 00/14357-8 - Application of information theory techniques to the analysis of time series obtained from biological systems, BP.PD

Abstract

We intend to continue and extend our current research on dynamical systems. We divide our work in two basic areas: semiclassical physics of chaotic systems and applications of the theory of dynamical systems to biology. The main topics we shall investigate in these areas are: (a) semiclassical dynamics in the coherent states representation; (b) energy dissipation and decoherence in couppled systems; (c) spatio-temporal dynamics of populations; (d) mechanical modeling of the DNA molecule; (e) sincronization measurements using EEG signals; (f) dynamical modeling of small biochemical networks. Although the two basic areas of research where we shall concentrate our work are different, the methods of investigation employed in both of them, e.g. methods of statistical physics and differential equations, are closely related, justifying their inclusion in this project. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BONANÇA‚ MVS; DE AGUIAR‚ MAM. Quantum dissipation and decoherence via interaction with low-dimensional chaos: A Feynman-Vernon approach. Physical Review A, v. 74, n. 1, p. 012105, 2006. (03/12097-7)