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Methods and Nonlinear Dynamics
Head:
Franco Meloni
Research topics
Methods of Nonlinear
Dynamics
and Chaos
The
fracture of materials
Chaos control and
synchronization
on low and high dimensional systems
Analysis of basins of
attraction
Analysis of EEG (Electroencephalograms)
and ECG (Electrocardiograms) as temporal series of
nonlinear data
Week
sensitivity/insensitivity
to initial coditions at the edge of chaos
Numerical study of the
Nonlinear Schroedinger Equation (NLS)
People
Franco
Meloni , full
professor (personal
page)
Roberto
Tonelli, temporary researcher(personal
page)
Luisa
Cossu, visitor
Giancarlo
Cappellini, associate professor(personal
page)
Thesis
students, M.I. Saba, F. Ricci, F. Lai
Selected publications
R.
Tonelli, Y.C. Lai and C. Grebogi, “Feedback
synchronization using pole-placement control”, Int. Jour. of
Bif. and Chaos, Vol. 10, No. 11 2000 pp. 2611-2617,
R.
Tonelli, G. Mezzorani, F. Meloni, M. Lissia and M. Coraddu,
“Entropy Production and Pesin Identity at the onset of Chaos”,
Prog. Theor. Phys.
Vol. 115, No. 1, (January 2006).
R.
Tonelli “Convergence to the Critical Attractor at
Infinite and Tangent Bifurcation Points”, Int. J. of
Bifurcation and Chaos, July 2006.
R.
Tonelli and M. Coraddu, “Numerical Study of the
Oscillatory Convergence to the Attractor at the Edge of Chaos”,
accepted for publication in European Physical Journal B (2006).
M.
Coraddu, M. Lissia and R. Tonelli, “Statistical
descriptions of nonlinear systems at the onset of chaos”,
accepted for publication in European Physical Journal B (2006).
M. Coraddu, R.
Tonelli, F. Meloni and G. Mezzorani: Weak
insensitivity to initial conditions
at the edge of chaos in the
logistic map, Physica A340/1-3, 234 (2004).
M. Lissia, M.
Coraddu
and R. Tonelli: What Entropy at the
Edge of Chaos, in Proceedings of
NEXT
2004, Complexity, Metastability and Nonextensivity,
Erice 20-26
July 2004.
Active projects
Collaborations
NOEL-LAB
(University of California - Berkeley)
(Prof. L. Chua)
INFN (Sezione di
Cagliari)
(Prof. G. Mezzorani, Dr. M. Coraddu, Dr. M. Lissia)
Electrical and Electronic
Engineering Department (Cagliari)
(Prof. M. Marchesi, Prof. G. Concas)
Mechanical
Engineering Department (Cagliari)
(Prof. F. Aymerich, Prof. F. Ginesu)
IPR-UMD
(University of Maryland) (Prof.
C. Grebogi, Prof. Ying
C. Lai)
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SLACS 