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Found 7 papers, 1 papers with code
Machine-learning prediction of tipping and collapse of the Atlantic Meridional Overturning Circulation
Recent research on the Atlantic Meridional Overturning Circulation (AMOC) raised concern about its potential collapse through a tipping point due to the climate-change caused increase in the freshwater input into the North Atlantic.
Rate-induced tipping in complex high-dimensional ecological networks
In an ecosystem, environmental changes as a result of natural and human processes can cause some key parameters of the system to change with time.
Synchronization in networked systems with large parameter heterogeneity
Systems that synchronize in nature are intrinsically different from one another, with possibly large differences from system to system.
Pinning control of networks: dimensionality reduction through simultaneous block-diagonalization of matrices
Interestingly, we obtain two different types of blocks, driven and undriven.
Reply to comment on "Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks"
We respond briefly to a comment [1, arXiv:2110. 15493] recently posted online on our paper [2, arXiv:2108. 07893].
Matryoshka and Disjoint Cluster Synchronization of Networks
For each pair of clusters, we distinguish between three different cases: Matryoshka Cluster Synchronization (when the range of the stability of the synchronous solution for one cluster is included in that of the other cluster), Partially Disjoint Cluster Synchronization (when the ranges of stability of the synchronous solutions partially overlap), and Complete Disjoint Cluster Synchronization (when the ranges of stability of the synchronous solutions do not overlap.)
Cluster Synchronization of Networks via a Canonical Transformation for Simultaneous Block Diagonalization of Matrices
Our approach has several advantages as it allows us to: (1) decouple the stability problem into subproblems of minimal dimensionality while preserving physically meaningful information; (2) study stability of both orbital and equitable partitions of the network nodes and (3) obtain a parametrization of the problem in a small number of parameters.
