Symmetry induced group consensus

Chaos
Isaac KlicksteinFrancesco Sorrentino

Abstract

There has been substantial work studying consensus problems for which there is a single common final state, although there are many real-world complex networks for which the complete consensus may be undesirable. More recently, the concept of group consensus whereby subsets of nodes are chosen to reach a common final state distinct from others has been developed, but the methods tend to be independent of the underlying network topology. Here, an alternative type of group consensus is achieved for which nodes that are "symmetric" achieve a common final state. The dynamic behavior may be distinct between nodes that are not symmetric. We show how group consensus for heterogeneous linear agents can be achieved via a simple coupling protocol that exploits the topology of the network. We see that group consensus is possible on both stable and unstable trajectories. We observe and characterize the phenomenon of "isolated group consensus," where one or more clusters may achieve group consensus while the other clusters do not.

References

Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Francesco Sorrentino, Edward Ott
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Giovanni Russo, Jean-Jacques E Slotine
Feb 26, 2013·Physical Review Letters·Caitlin R S WilliamsEckehard Schöll
May 18, 2013·Physical Review Letters·Vincenzo NicosiaVito Latora
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Jiahu Qin, Changbin Yu
Jun 14, 2014·Nature Communications·Louis M PecoraRajarshi Roy
Oct 27, 2016·Chaos·Michael T SchaubMauricio Barahona
Jan 24, 2017·IEEE Transactions on Cybernetics·Jiahu QinYu Kang
Jan 3, 2019·Chaos·Isaac Klickstein, Francesco Sorrentino

❮ Previous
Next ❯

Citations

Jun 25, 2020·Nature Communications·Fabio Della RossaFrancesco Sorrentino
Jan 1, 2021·Chaos·Weigang SunSuyu Liu
Jul 17, 2021·Theory in Biosciences = Theorie in Den Biowissenschaften·Raffaella MulasBen D MacArthur

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.