From Chaos to Synchronization (Materiale didattico)

Type
Label
  • From Chaos to Synchronization (Materiale didattico) (literal)
Anno
  • 2011-01-01T00:00:00+01:00 (literal)
Alternative label
  • Torcini Alessandro (2011)
    From Chaos to Synchronization
    (literal)
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  • Torcini Alessandro (literal)
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  • Course held at the Department of Physics and Astronomy of the Aarhus University (Denmark) (14 hours), October/December 2011 (literal)
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  • Course held at the Department of Physics and Astronomy of the Aarhus University (Denmark) (14 hours) (literal)
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  • Program Outline: *** Fundamental concepts on nonlinear dynamical systems *** The origin of chaos - From the pendulum to the forced oscillator (ref. 1 and ref. 2) *** Routes to chaos (ref. 2) *** Synchronization: an unifying concept (ref. 3) *** Synchronization in Oscillators' Networks: the Kuramoto model (ref. 4) *** Collective states in fully coupled networks : from Chimera States to Collective Chaos (ref. 5 - 6 ) References: (1) Strogatz, Steven \"Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Studies in Nonlinearity)\" Perseus Books Group (2001) (2) M. Cencini, F. Cecconi, and A. Vulpiani \"Chaos: from simple models to complex systems\" World Scientific, Singapore, September 2009. ISBN 978-981-4277-65-5 (3) Arkady Pikovsky, Michael Rosenblum \"Synchronization: A Universal Concept in Nonlinear Science\" Cambridge University Press (2002) ISBN: 0521592852 (4) Y. Kuramoto \"Chemical Oscillations, Waves, and Turbulence\" Dover Publications; Dover Ed edition (August 5, 2003) (5) Daniel M. Abrams and Steven H. Strogatz, \"Chimera States for Coupled Oscillators\", Phys. Rev. Lett. 93, 174102 (2004) (6) Naoko Nakagawa and Yoshiki Kuramoto , \"Collective Chaos in a Population of Globally Coupled Oscillators\" Prog. Theor. Phys. Vol. 89 No. 2 (1993) pp. 313-323 (literal)
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  • Altro (literal)
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  • CNR-ISC, Firenze - Sesto Fiorentino (literal)
Titolo
  • From Chaos to Synchronization (literal)
Abstract
  • Program Outline: *** Fundamental concepts on nonlinear dynamical systems *** The origin of chaos - From the pendulum to the forced oscillator (ref. 1 and ref. 2) *** Routes to chaos (ref. 2) *** Synchronization: an unifying concept (ref. 3) *** Synchronization in Oscillators' Networks: the Kuramoto model (ref. 4) *** Collective states in fully coupled networks : from Chimera States to Collective Chaos (ref. 5 - 6 ) (literal)
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