Renato Spigler

Prof. Renato Spigler

Roma Tre University
orcid

Research Focus & Metrics

Academic Career Length

45Years (1982-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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7 April 2005 in Reviews of Modern Physics
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Journal Article
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JAJuan A. Acebrón
Juan A. Acebrón
Luis L. BonillaLuis L. Bonilla
Luis L. Bonilla
CVConrad J. Pérez Vicente
Conrad J. Pérez Vicente
Felix RitortFelix Ritort
Felix Ritort
Renato SpiglerRenato Spigler
Renato Spigler
Synchronization phenomena in large populations of interacting elements are the subject of intense research efforts in physical, biological, chemical, and social systems. A successful approach to the problem of synchronization consists of modeling each member of the population as a phase oscillator. In this review, synchronization is analyzed in one of the most representative models of coupled phase oscillators, the Kuramoto model. A rigorous mathematical treatment, specific numerical methods, and many variations and extensions of the original model that have appeared in the last few years are presented. Relevant applications of the model in different contexts are also included.

1 August 2013 in Neural Networks
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Journal Article
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Danilo CostarelliDanilo Costarelli
Danilo Costarelli
Renato SpiglerRenato Spigler
Renato Spigler

1 December 2013 in Neural Networks
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Journal Article
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Danilo CostarelliDanilo Costarelli
Danilo Costarelli
Renato SpiglerRenato Spigler
Renato Spigler

1 April 1992 in Journal of Statistical Physics
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Journal Article
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Luis L. BonillaLuis L. Bonilla
Luis L. Bonilla
JNJohn C. Neu
John C. Neu
Renato SpiglerRenato Spigler
Renato Spigler

14 September 1998 in Physical Review Letters
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Journal Article
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JAJ. A. Acebrón
J. A. Acebrón
Renato SpiglerRenato Spigler
Renato Spigler
Phase models describing self-synchronization phenomena in populations of globally coupled oscillators are generalized including “inertial” effects. This entails that the oscillator frequencies also vary in time along with their phases. The model can be described by a large set of Langevin equations when noise effects are also included. Also, a description of such systems can be given in the thermodynamic limit of infinitely many oscillators via a suitable Fokker-Planck-type equation. Numerical simulations confirm that simultaneous synchronization of phases and frequencies is possible when the coupling strength goes to infinity.

1 September 2000 in Physical Review E
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JAJ. A. Acebrón
J. A. Acebrón
Luis L. BonillaLuis L. Bonilla
Luis L. Bonilla
Renato SpiglerRenato Spigler
Renato Spigler
A model for synchronization of globally coupled phase oscillators including “inertial” effects is analyzed. In such a model, both oscillator frequencies and phases evolve in time. Stationary solutions include incoherent (unsynchronized) and synchronized states of the oscillator population. Assuming a Lorentzian distribution of oscillator natural frequencies, g(Ω), both larger inertia or larger frequency spread stabilize the incoherent solution, thereby making it harder to synchronize the population. In the limiting case g(Ω)=δ(Ω), the critical coupling becomes independent of inertia. A richer phenomenology is found for bimodal distributions. For instance, inertial effects may destabilize incoherence, giving rise to bifurcating synchronized standing wave states. Inertia tends to harden the bifurcation from incoherence to synchronized states: at zero inertia, this bifurcation is supercritical (soft), but it tends to become subcritical (hard) as inertia increases. Nonlinear stability is investigated in the limit of high natural frequencies.