Abstract
Coupled chaotic oscillators usually display rich dynamics and undergo complicated bifurcations when the coupling strength changes. Dynamics reconstruction of the coupled system without relying on a model is a difficult problem in the field of nonlinear dynamics, especially in the presence of bistability. Following previous works (PRE 104 (2021) 014205 and 024205), we design a reservoir computer with parameter input channel consisting of the coupling strength and an indicator parameter. The indicator parameter is used to distinguish the possible coexisting dynamical states. Using a ring of coupled Rössler oscillators, we demonstrate the power of the reservoir computer in dynamics reconstruction and predicting the transitions between different dynamical states. We find that a single one reservoir computer is enough to reconstruct the complete bifurcation diagrams of the original coupled system.
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Schedule a callMore From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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