Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations.
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DOI: 10.1063/1.5009669
Abstract: A general phase reduction method for a network of coupled dynamical elements exhibiting collective oscillations, which is applicable to arbitrary networks of heterogeneous dynamical elements, is developed. A set of coupled adjoint equations for phase… read more here.
Keywords: dynamical elements; coupled dynamical; network; phase reduction ... See more keywords
Reduced-order models for coupled dynamical systems: Data-driven methods and the Koopman operator.
Sign Up to like & getrecommendations! Published in 2021 at "Chaos"
DOI: 10.1063/5.0039496
Abstract: Providing efficient and accurate parameterizations for model reduction is a key goal in many areas of science and technology. Here, we present a strong link between data-driven and theoretical approaches to achieving this goal. Formal… read more here.
Keywords: methodology; coupled dynamical; data driven; koopman operator ... See more keywords
Oscillation quenching in diffusively coupled dynamical networks with inertial effects.
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DOI: 10.1063/5.0087839
Abstract: Self-sustained oscillations are ubiquitous and of fundamental importance for a variety of physical and biological systems including neural networks, cardiac dynamics, and circadian rhythms. In this work, oscillation quenching in diffusively coupled dynamical networks including… read more here.
Keywords: diffusively coupled; oscillation quenching; dynamical networks; oscillation ... See more keywords
Coupled Dynamical Phase Transitions in Driven Disk Packings.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.129.188002
Abstract: Under the influence of oscillatory shear, a monolayer of frictional granular disks exhibits two dynamical phase transitions: a transition from an initially disordered state to an ordered crystalline state and a dynamic active-absorbing phase transition.… read more here.
Keywords: driven disk; phase transitions; transitions driven; dynamical phase ... See more keywords
Event-Triggered Impulsive Quasisynchronization of Coupled Dynamical Networks With Proportional Delay.
Sign Up to like & getrecommendations! Published in 2022 at "IEEE transactions on cybernetics"
DOI: 10.1109/tcyb.2022.3194218
Abstract: The quasisynchronization of nonidentically coupled dynamical networks (NCDNs) with proportional delay is achieved by the event-triggered mechanism (ETM). Heterogeneity and proportional delay greatly increase the difficulty on synchronization of NCDNs. As an unbounded delay in… read more here.
Keywords: event triggered; proportional delay; quasisynchronization; dynamical networks ... See more keywords
Robust Passivity and Control for Directed and Multiweighted Coupled Dynamical Networks.
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DOI: 10.1109/tnnls.2022.3167139
Abstract: In this article, the passivity and control issues for directed uncertain coupled dynamical networks are solved. The presented model is directly coupled with multiple coupling matrices and parametric uncertainty, while previous literatures of multiweighted networks… read more here.
Keywords: passivity control; passivity; control; dynamical networks ... See more keywords