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Khanra P, Ghosh S, Aleja D, Alfaro-Bittner K, Contreras-Aso G, Criado R, Romance M, Boccaletti S, Pal P, Hens C. Endowing networks with desired symmetries and modular behavior. Phys Rev E 2023; 108:054309. [PMID: 38115459 DOI: 10.1103/physreve.108.054309] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/03/2023] [Accepted: 10/18/2023] [Indexed: 12/21/2023]
Abstract
Symmetries in a network regulate its organization into functional clustered states. Given a generic ensemble of nodes and a desirable cluster (or group of clusters), we exploit the direct connection between the elements of the eigenvector centrality and the graph symmetries to generate a network equipped with the desired cluster(s), with such a synthetical structure being furthermore perfectly reflected in the modular organization of the network's functioning. Our results solve a relevant problem of designing a desired set of clusters and are of generic application in all cases where a desired parallel functioning needs to be blueprinted.
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Affiliation(s)
- P Khanra
- Department of Mathematics, State University of New York at Buffalo, Buffalo 14260, USA
| | - S Ghosh
- Center for Computational Natural Sciences and Bioinformatics, International Institute of Information Technology, Gachibowli, Hyderabad 500032, India
| | - D Aleja
- Universidad Rey Juan Carlos, Calle Tulipán s/n, 28933 Móstoles, Madrid, Spain
- Department of Internal Medicine, University of Michigan, Ann Arbor, Michigan 48109, USA
| | - K Alfaro-Bittner
- Universidad Rey Juan Carlos, Calle Tulipán s/n, 28933 Móstoles, Madrid, Spain
| | - G Contreras-Aso
- Universidad Rey Juan Carlos, Calle Tulipán s/n, 28933 Móstoles, Madrid, Spain
| | - R Criado
- Universidad Rey Juan Carlos, Calle Tulipán s/n, 28933 Móstoles, Madrid, Spain
| | - M Romance
- Universidad Rey Juan Carlos, Calle Tulipán s/n, 28933 Móstoles, Madrid, Spain
| | - S Boccaletti
- Universidad Rey Juan Carlos, Calle Tulipán s/n, 28933 Móstoles, Madrid, Spain
- CNR - Institute of Complex Systems, Via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy
- Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region, 141701, Russian Federation
- Complex Systems Lab, Department of Physics, Indian Institute of Technology, Indore - Simrol, Indore 453552, India
| | - P Pal
- Department of Mathematics, National Institute of Technology, Durgapur 713209, India
| | - C Hens
- Center for Computational Natural Sciences and Bioinformatics, International Institute of Information Technology, Gachibowli, Hyderabad 500032, India
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Kovalenko K, Dai X, Alfaro-Bittner K, Raigorodskii AM, Perc M, Boccaletti S. Contrarians Synchronize beyond the Limit of Pairwise Interactions. Phys Rev Lett 2021; 127:258301. [PMID: 35029445 DOI: 10.1103/physrevlett.127.258301] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/03/2021] [Revised: 10/12/2021] [Accepted: 11/05/2021] [Indexed: 06/14/2023]
Abstract
We give evidence that a population of pure contrarian globally coupled D-dimensional Kuramoto oscillators reaches a collective synchronous state when the interplay between the units goes beyond the limit of pairwise interactions. Namely, we will show that the presence of higher-order interactions may induce the appearance of a coherent state even when the oscillators are coupled negatively to the mean field. An exact solution for the description of the microscopic dynamics for forward and backward transitions is provided, which entails imperfect symmetry breaking of the population into a frequency-locked state featuring two clusters of different instantaneous phases. Our results contribute to a better understanding of the powerful potential of group interactions entailing multidimensional choices and novel dynamical states in many circumstances, such as in social systems.
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Affiliation(s)
- K Kovalenko
- Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region 141701, Russian Federation
| | - X Dai
- Northwestern Polytechnical University, Xi'an 710072, People's Republic of China
| | - K Alfaro-Bittner
- Departamento de Física, Universidad Técnica Federico Santa María, Avenida España 1680, Casilla 110V, Valparaíso, Chile
| | - A M Raigorodskii
- Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region 141701, Russian Federation
- Adyghe State University, ulica Pervomaiskaya, 208, Maykop 385000, Russia
- Moscow State University, Leninskie Gory, 1, Moscow 119991, Russia
- Buryat State University, ulica Ranzhurova, 5, Ulan-Ude 670000, Russia
| | - M Perc
- Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, 2000 Maribor, Slovenia
- Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 404332, Taiwan
- Complexity Science Hub Vienna, Josefstädterstraße 39, 1080 Vienna, Austria
- Alma Mater Europaea, Slovenska ulica 17, 2000 Maribor, Slovenia
| | - S Boccaletti
- Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region 141701, Russian Federation
- Universidad Rey Juan Carlos, Calle Tulipán s/n, 28933 Móstoles, Madrid, Spain
- CNR - Institute of Complex Systems, Via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy
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Pinto-Ramos D, Alfaro-Bittner K, Clerc MG, Rojas RG. Nonreciprocal Coupling Induced Self-Assembled Localized Structures. Phys Rev Lett 2021; 126:194102. [PMID: 34047597 DOI: 10.1103/physrevlett.126.194102] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/23/2020] [Accepted: 03/22/2021] [Indexed: 06/12/2023]
Abstract
Chains of coupled oscillators exhibit energy propagation by means of waves, pulses, and fronts. Nonreciprocal coupling radically modifies the wave dynamics of chains. Based on a prototype model of nonlinear chains with nonreciprocal coupling to nearest neighbors, we study nonlinear wave dynamics. Nonreciprocal coupling induces a convective instability between unstable and stable equilibrium. Increasing the coupling level, the chain presents a propagative pattern, a traveling wave. This emergent phenomenon corresponds to the self-assembly of localized structures. The pattern wavelength is characterized as a function of the coupling. Analytically, the phase diagram is determined and agrees with numerical simulations.
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Affiliation(s)
- D Pinto-Ramos
- Departamento de Física and Millennium Institute for Research in Optics, FCFM, Universidad de Chile, Casilla 487-3, Santiago, Chile
| | - K Alfaro-Bittner
- Departamento de Física, Universidad Técnica Federico Santa María, Av. España 1680, Casilla 110V, Valparaíso, Chile
- Unmanned Systems Research Institute, Northwestern Polytechnical University, Xi'an 710072, China
| | - M G Clerc
- Departamento de Física and Millennium Institute for Research in Optics, FCFM, Universidad de Chile, Casilla 487-3, Santiago, Chile
| | - R G Rojas
- Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaíso, Chile
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Vasilyeva E, Kozlov A, Alfaro-Bittner K, Musatov D, Raigorodskii AM, Perc M, Boccaletti S. Multilayer representation of collaboration networks with higher-order interactions. Sci Rep 2021; 11:5666. [PMID: 33707586 PMCID: PMC7970940 DOI: 10.1038/s41598-021-85133-5] [Citation(s) in RCA: 21] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/28/2020] [Accepted: 02/19/2021] [Indexed: 12/04/2022] Open
Abstract
Collaboration patterns offer important insights into how scientific breakthroughs and innovations emerge in small and large research groups. However, links in traditional networks account only for pairwise interactions, thus making the framework best suited for the description of two-person collaborations, but not for collaborations in larger groups. We therefore study higher-order scientific collaboration networks where a single link can connect more than two individuals, which is a natural description of collaborations entailing three or more people. We also consider different layers of these networks depending on the total number of collaborators, from one upwards. By doing so, we obtain novel microscopic insights into the representativeness of researchers within different teams and their links with others. In particular, we can follow the maturation process of the main topological features of collaboration networks, as we consider the sequence of graphs obtained by progressively merging collaborations from smaller to bigger sizes starting from the single-author ones. We also perform the same analysis by using publications instead of researchers as network nodes, obtaining qualitatively the same insights and thus confirming their robustness. We use data from the arXiv to obtain results specific to the fields of physics, mathematics, and computer science, as well as to the entire coverage of research fields in the database.
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Affiliation(s)
- E Vasilyeva
- Moscow Institute of Physics and Technology, 9 Institutskiy Per., Dolgoprudny, 141701, Moscow, Russia
- P.N. Lebedev Physical Institute of the Russian Academy of Sciences, 53 Leninsky Prosp., 119991, Moscow, Russia
| | - A Kozlov
- Moscow Institute of Physics and Technology, 9 Institutskiy Per., Dolgoprudny, 141701, Moscow, Russia
| | - K Alfaro-Bittner
- Unmanned Systems Research Institute, Northwestern Polytechnical University, Xi'an, 710072, China.
- Departamento de Física, Universidad Técnica Federico Santa María, Av. España 1680, Casilla 110V, Valparaíso, Chile.
| | - D Musatov
- Moscow Institute of Physics and Technology, 9 Institutskiy Per., Dolgoprudny, 141701, Moscow, Russia
- Russian Academy of National Economy and Public Administration, Pr. Vernadskogo, 84, 119606, Moscow, Russia
- Caucasus Mathematical Center, Adyghe State University, ul. Pervomaiskaya, 208, 385000, Maykop, Russia
| | - A M Raigorodskii
- Moscow Institute of Physics and Technology, 9 Institutskiy Per., Dolgoprudny, 141701, Moscow, Russia
- Caucasus Mathematical Center, Adyghe State University, ul. Pervomaiskaya, 208, 385000, Maykop, Russia
- Mechanics and Mathematics Faculty, Moscow State University, Leninskie Gory, 1, 119991, Moscow, Russia
- Institute of Mathematics and Computer Science, Buryat State University, ul. Ranzhurova, 5, 670000, Ulan-Ude, Russia
| | - M Perc
- Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška Cesta 160, 2000, Maribor, Slovenia
- Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 404332, Taiwan
- Complexity Science Hub Vienna, Josefstädterstraße 39, 1080, Vienna, Austria
| | - S Boccaletti
- Moscow Institute of Physics and Technology, 9 Institutskiy Per., Dolgoprudny, 141701, Moscow, Russia
- Unmanned Systems Research Institute, Northwestern Polytechnical University, Xi'an, 710072, China
- CNR-Institute of Complex Systems, Via Madonna del Piano 10, 50019, Sesto Fiorentino, Italy
- Universidad Rey Juan Carlos, Calle Tulipán s/n, Móstoles, 28933, Madrid, Spain
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Alfaro-Bittner K, Barbay S, Clerc MG. Pulse propagation in a 1D array of excitable semiconductor lasers. Chaos 2020; 30:083136. [PMID: 32872804 DOI: 10.1063/5.0006195] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/02/2020] [Accepted: 07/30/2020] [Indexed: 06/11/2023]
Abstract
Nonlinear pulse propagation is a major feature in continuously extended excitable systems. The persistence of this phenomenon in coupled excitable systems is expected. Here, we investigate theoretically the propagation of nonlinear pulses in a 1D array of evanescently coupled excitable semiconductor lasers. We show that the propagation of pulses is characterized by a hopping dynamics. The average pulse speed and bifurcation diagram are characterized as a function of the coupling strength between the lasers. Several instabilities are analyzed such as the onset and disappearance of pulse propagation and a spontaneous breaking of the translation symmetry. The pulse propagation modes evidenced are specific to the discrete nature of the 1D array of excitable lasers.
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Affiliation(s)
- K Alfaro-Bittner
- Departamento de Física, Universidad Técnica Federico Santa María, Av. España 1680, Casilla 110V, Valparaíso, Chile
| | - S Barbay
- Centre de Nanosciences et de Nanotechnologies, CNRS, Université Paris-Saclay, 91120 Palaiseau, France
| | - M G Clerc
- Departamento de Física and Millennium Institute for Research in Optics, FCFM, Universidad de Chile, Casilla, 487-3 Santiago, Chile
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Alfaro-Bittner K, Castillo-Pinto C, Clerc MG, González-Cortés G, Jara-Schulz G, Rojas RG. Front propagation steered by a high-wavenumber modulation: Theory and experiments. Chaos 2020; 30:053138. [PMID: 32491917 DOI: 10.1063/5.0003519] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/02/2020] [Accepted: 05/04/2020] [Indexed: 06/11/2023]
Abstract
Homogeneously driven dynamical systems exhibit multistability. Depending on the initial conditions, fronts present a rich dynamical behavior between equilibria. Qualitatively, this phenomenology is persistent under spatially modulated forcing. However, the understanding of equilibria and front dynamics organization is not fully established. Here, we investigate these phenomena in the high-wavenumber limit. Based on a model that describes the reorientation transition of a liquid crystal light valve with spatially modulated optical forcing and the homogenization method, equilibria and fronts as a function of forcing parameters are studied. The forcing induces patterns coexisting with the uniform state in regions where the system without forcing is monostable. The front dynamics is characterized theoretically and numerically. Experimental results verify these phenomena and the law describing bistability, showing quite good agreement.
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Affiliation(s)
- K Alfaro-Bittner
- Departamento de Física, Universidad Técnica Federico Santa María, Av. España 1680, Casilla 110V, Valparaíso, Chile
| | - C Castillo-Pinto
- Departamento de Física and Millennium Institute for Research in Optics, FCFM, Universidad de Chile, Casilla 487-3, Santiago, Chile
| | - M G Clerc
- Departamento de Física and Millennium Institute for Research in Optics, FCFM, Universidad de Chile, Casilla 487-3, Santiago, Chile
| | - G González-Cortés
- Departamento de Física and Millennium Institute for Research in Optics, FCFM, Universidad de Chile, Casilla 487-3, Santiago, Chile
| | - G Jara-Schulz
- Departamento de Física and Millennium Institute for Research in Optics, FCFM, Universidad de Chile, Casilla 487-3, Santiago, Chile
| | - R G Rojas
- Instituto de Física, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaíso, Chile
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