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- W2082622084 abstract "We consider a network of N coupled limit cycle oscillators, each having a set of control parameters Λ k , k = 1, …, N, that controls the frequency and the geometry of the limit cycle. We implement a self-adaptive mechanism that drives the local systems to share a common set of parameters Λ c . This situation therefore strongly differs from classical synchronization problems where the Λ k are kept constant. The deformations of the Λ k towards the consensual Λ c are “plastic” — once Λ c is reached, it remains permanent even in absence of interactions. Again, this has to be contrasted with classical synchronization which does not affect the Λ k (in the absence of interactions, individual behaviors are restored). The resulting consensual Λ c can be analytically characterized. In general, the set of initial conditions from which Λ c is reached depends on the network topology. The class of models discussed here unveil the basic features necessary to construct a wider class of dynamical system sharing self-adaptive attractor-shaping capability. Finally, we present numerical simulations that corroborate our theoretical assertions." @default.
- W2082622084 created "2016-06-24" @default.
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- W2082622084 date "2011-07-01" @default.
- W2082622084 modified "2023-09-30" @default.
- W2082622084 title "Self-adaptive attractor-shaping for oscillators networks" @default.
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- W2082622084 doi "https://doi.org/10.1109/inds.2011.6024786" @default.
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