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Classical and quantum dynamical systems

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)

Articles published in Agência FAPESP Newsletter about the research grant:
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VEICULO: TITULO (DATA)
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Scientific publications
(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)
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, . (03/12097-7)