26 citations · 54 across the 9 of their papers we have counts for
9 papers
Projective Embedding of Dynamical Systems: uniform mean field equations
Francesco Caravelli, Fabio L. Traversa, Michele Bonnin +1
We study embeddings of continuous dynamical systems in larger dimensions via projector operators. We call this technique PEDS, projective embedding of dynamical systems, as the sta…
Coupled oscillator networks for von Neumann and non von Neumann computing
Michele Bonnin, Fabio Lorenzo Traversa, Fabrizio Bonani
The frenetic growth of the need for computation performance and efficiency, along with the intrinsic limitations of the current main solutions, is pushing the scientific community…
Colored noise in oscillators. Phase-amplitude analysis and a method to avoid the Ito-Stratonovich dilemma
Michele Bonnin, Fabio Traversa, Fabrizio Bonani
We investigate the effect of time-correlated noise on the phase fluctuations of nonlinear oscillators. The analysis is based on a methodology that transforms a system subject to co…
Phase space decomposition for phase noise and synchronization analysis of planar nonlinear oscillators
Michele Bonnin, Fernando Corinto, Marco Gilli
Synchronization phenomena, frequency shift and phase noise are often limiting key factors in the performances of oscillators. The perturbation projection method allows to character…
A mathematical framework for amplitude and phase noise analysis of coupled oscillators
Michele Bonnin, Fernando Corinto, Valentina Lanza
Synchronization of coupled oscillators is a paradigm for complexity in many areas of science and engineering. Any realistic network model should include noise effects. We present a…
Phase oscillator model for noisy oscillators
Michele Bonnin
The Kuramoto model has become a paradigm to describe the dynamics of nonlinear oscillator under the influence of external perturbations, both deterministic and stochastic. It is ba…
Amplitude and phase dynamics of noisy oscillators
Michele Bonnin
A description in terms of phase and amplitude variables is given, for nonlinear oscillators subject to white Gaussian noise described by Itô stochastic differential equations. The…
Noise in oscillators: a review of state space decomposition approaches
Fabio L. Traversa, Michele Bonnin, Fernando Corinto +1
We review the state space decomposition techniques for the assessment of the noise properties of autonomous oscillators, a topic of great practical and theoretical importance for m…
Complex dynamics in hard oscillators: the influence of constant inputs
V. Lanza, L. Ponta, M. Bonnin +1
Systems with the coexistence of different stable attractors are widely exploited in systems biology in order to suitably model the differentiating processes arising in living cells…