Chaos: An Interdisciplinary Journal of Nonlinear Science最新文献_第4页

Synchronization transitions and sensitivity to asymmetry in the bimodal Kuramoto systems with Cauchy noise 柯西噪声下双峰Kuramoto系统的同步跃迁和对不对称的敏感性

Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2022-12-12 DOI: 10.1063/5.0160006

V. Kostin, V. O. Munyaev, G. Osipov, L. Smirnov

{"title":"Synchronization transitions and sensitivity to asymmetry in the bimodal Kuramoto systems with Cauchy noise","authors":"V. Kostin, V. O. Munyaev, G. Osipov, L. Smirnov","doi":"10.1063/5.0160006","DOIUrl":"https://doi.org/10.1063/5.0160006","url":null,"abstract":"We analyze the synchronization dynamics of the thermodynamically large systems of globally coupled phase oscillators under Cauchy noise forcings with a bimodal distribution of frequencies and asymmetry between two distribution components. The systems with the Cauchy noise admit the application of the Ott–Antonsen ansatz, which has allowed us to study analytically synchronization transitions both in the symmetric and asymmetric cases. The dynamics and the transitions between various synchronous and asynchronous regimes are shown to be very sensitive to the asymmetry degree, whereas the scenario of the symmetry breaking is universal and does not depend on the particular way to introduce asymmetry, be it the unequal populations of modes in a bimodal distribution, the phase delay of the Kuramoto–Sakaguchi model, the different values of the coupling constants, or the unequal noise levels in two modes. In particular, we found that even small asymmetry may stabilize the stationary partially synchronized state, and this may happen even for an arbitrarily large frequency difference between two distribution modes (oscillator subgroups). This effect also results in the new type of bistability between two stationary partially synchronized states: one with a large level of global synchronization and synchronization parity between two subgroups and another with lower synchronization where the one subgroup is dominant, having a higher internal (subgroup) synchronization level and enforcing its oscillation frequency on the second subgroup. For the four asymmetry types, the critical values of asymmetry parameters were found analytically above which the bistability between incoherent and partially synchronized states is no longer possible.","PeriodicalId":340975,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115295706","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Can the PageRank centrality be manipulated to obtain any desired ranking? 是否可以操纵PageRank的中心性来获得任何期望的排名?

Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2022-11-23 DOI: 10.1063/5.0156226

Gonzalo Contreras-Aso, R. Criado, M. Romance

引用次数: 0

Tipping in complex systems under fast variations of parameters 参数快速变化下复杂系统的倾转

Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2022-09-14 DOI: 10.1063/5.0162503

Induja Pavithran, P. Midhun, R. I. Sujith

{"title":"Tipping in complex systems under fast variations of parameters","authors":"Induja Pavithran, P. Midhun, R. I. Sujith","doi":"10.1063/5.0162503","DOIUrl":"https://doi.org/10.1063/5.0162503","url":null,"abstract":"Abrupt changes in the state of a system are often undesirable in natural and human-made systems. Such transitions occurring due to fast variations of system parameters are called rate-induced tipping (R-tipping). While a quasi-steady or sufficiently slow variation of a parameter does not result in tipping, a continuous variation of the parameter at a rate greater than a critical rate results in tipping. Such R-tipping would be catastrophic in real-world systems. We experimentally demonstrate R-tipping in a real-world complex system and decipher its mechanism. There is a critical rate of change of parameter above which the system undergoes tipping. We discover that there is another system variable varying simultaneously at a timescale different from that of the driver (control parameter). The competition between the effects of processes at these two timescales determines if and when tipping occurs. Motivated by the experiments, we use a nonlinear oscillator model, exhibiting Hopf bifurcation, to generalize such type of tipping to complex systems where multiple comparable timescales compete to determine the dynamics. We also explain the advanced onset of tipping, which reveals that the safe operating space of the system reduces with the increase in the rate of variations of parameters.","PeriodicalId":340975,"journal":{"name":"Chaos: An Interdisciplinary Journal of Nonlinear Science","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116471651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Universal Anderson localization in one-dimensional unitary maps 一维酉图中的通用安德森定位

Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2022-04-06 DOI: 10.1063/5.0141808

I. Vakulchyk, S. Flach

引用次数: 1

Referee acknowledgment for 2019 2019年度裁判确认

Chaos: An Interdisciplinary Journal of Nonlinear Science Pub Date : 2020-02-01 DOI: 10.1063/5.0003286

J. Kurths

引用次数: 0