On the global dynamics of connected vehicle systems

Avedisov, Sergei S.; Bachrathy, Dániel; Orosz, Gábor

doi:10.1007/s11071-019-04889-8

“…In our previous work [37], we investigated a system of CAVs where saturation was included in the model. Although the purpose of that research was not to expose the effect of saturation, it was concluded that badly chosen parameters resulted in a so-called isola causing bistability, where multiple solutions coexist, which could be improved by connectivity.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear effects of saturation in the car-following model

Martinovich

¹

2022

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The goal of this paper is to provide insight about the effect of acceleration saturation in the car-following model. In this contribution, we consider a heterogeneous, mixed-traffic scenario which contains both human-driven and autonomous vehicles subjected to time delays. Corresponding stability charts are provided from which one can tune the control parameters of the automated vehicles to achieve smooth traffic flow. By taking into account the acceleration saturation, it modifies the global behaviour of the system and reduces the range of the optimal technological parameters. On a demonstrative example, we highlight the complex dynamical phenomenon induced by the saturation and we attempt to connect these nonlinear investigations to the engineering practice and point out their relevance.

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“…For instance, a large corpus of studies has shown the connection of neural synchronization of brain areas with cognition 6 , animal locomotion is controlled to some extent by central pattern generators that impose a given gait by exploiting synchronous clusters of neurons 7 – 9 , and connected vehicle systems often give rise to CS 10 . The study of CS is therefore relevant to analyze and control natural (ecological, immune, neural, and cellular) 11 and artificial 12 – 14 systems.…”

Section: Introductionmentioning

confidence: 99%

One-way dependent clusters and stability of cluster synchronization in directed networks

Lodi

¹

,

Sorrentino

²

,

Storace

³

2021

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Cluster synchronization in networks of coupled oscillators is the subject of broad interest from the scientific community, with applications ranging from neural to social and animal networks and technological systems. Most of these networks are directed, with flows of information or energy that propagate unidirectionally from given nodes to other nodes. Nevertheless, most of the work on cluster synchronization has focused on undirected networks. Here we characterize cluster synchronization in general directed networks. Our first observation is that, in directed networks, a cluster A of nodes might be one-way dependent on another cluster B: in this case, A may remain synchronized provided that B is stable, but the opposite does not hold. The main contribution of this paper is a method to transform the cluster stability problem in an irreducible form. In this way, we decompose the original problem into subproblems of the lowest dimension, which allows us to immediately detect inter-dependencies among clusters. We apply our analysis to two examples of interest, a human network of violin players executing a musical piece for which directed interactions may be either activated or deactivated by the musicians, and a multilayer neural network with directed layer-to-layer connections.

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“…For instance, a large corpus of studies has shown the connection of neural synchronization of brain areas with cognition [6], animal locomotion is controlled to some extent by central pattern generators that impose a given gait by exploiting synchronous clusters of neurons [7,8,9], and connected vehicle systems often give rise to CS [10]. The study of CS is therefore relevant to analyze and control natural (ecological, immune, neural, and cellular) [11] and artificial [12,13,14]…”

Section: Introductionmentioning

confidence: 99%

One-way dependent clusters and stability of cluster synchronization in directed networks

Lodi,

Sorrentino,

Storace

2021

Preprint

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Cluster synchronization in networks of coupled oscillators is the subject of broad interest from the scientific community, with applications ranging from neural to social and animal networks and technological systems. Most of these networks are directed, with flows of information or energy that propagate unidirectionally from given nodes to other nodes. Nevertheless, most of the work on cluster synchronization has focused on undirected networks. Here we characterize cluster synchronization in general directed networks. Our first observation is that, in directed networks, a cluster A of nodes might be one-way dependent on another cluster B: in this case, A may remain synchronized provided that B is stable, but the opposite does not hold. The main contribution of this paper is a method to transform the cluster stability problem in an irreducible form. In this way, we decompose the original problem into subproblems of the lowest dimension, which allows us to immediately detect inter-dependencies among clusters. We apply our analysis to two examples of interest, a human network of violin players executing a musical piece for which directed interactions may be either activated or deactivated by the musicians, and a multilayer neural network with directed layer-to-layer connections.

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On the global dynamics of connected vehicle systems

Cited by 23 publications

References 19 publications

Nonlinear effects of saturation in the car-following model

Nonlinear effects of saturation in the car-following model

One-way dependent clusters and stability of cluster synchronization in directed networks

One-way dependent clusters and stability of cluster synchronization in directed networks

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