Article
Physics, Multidisciplinary
Rok Cestnik, Arkady Pikovsky
Summary: We study the collective behavior of phase oscillators in the thermodynamic limit and propose an Ansatz for the circular moments of the distribution that allows for truncation at any number of modes. By simulating a Josephson junction array, we demonstrate the higher-dimensional behavior facilitated by dynamics on extended manifolds.
PHYSICAL REVIEW LETTERS
(2022)
Article
Mathematics, Applied
Anjuman Ara Khatun, Haider Hasan Jafri
Summary: The study explores the coexistence of synchronous and asynchronous dynamical behaviors in an ensemble of nonlinear oscillators coupled through different variables, resulting in chimera states. By tuning the coupling parameter in a different variable, the region of multistability can be shifted, providing an additional means to create chimera states. In an ensemble of coupled Rossler systems, multiple attractors and intertwined basins are observed, with the strength of incoherence (SI) serving as a useful order parameter for characterizing chimera states.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Multidisciplinary Sciences
Sindre W. Haugland, Anton Tosolini, Katharina Krischer
Summary: The text explores the behaviors of coupled oscillators, including synchronization and incoherence, as well as the discovery of "chimera states" and their relationship with synchronization and asynchronization. It demonstrates that globally coupled identical oscillators can express a wider range of coexistence patterns, including chimeras.
NATURE COMMUNICATIONS
(2021)
Article
Computer Science, Interdisciplinary Applications
Mingxue Yang, Yirui Chen, Wenchen Han, Junzhong Yang
Summary: In this study, the multi-stability of multi-clustered chimera states in a ring of nonlocally coupled Brusselators is investigated. It is found that the phenomenon is insensitive to the coupling radius. The mechanisms behind the multi-stability of different types of multi-clustered chimera states are explored.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2023)
Article
Physics, Multidisciplinary
Nikita P. Kryuchkov, Vladimir N. Mantsevich, Stanislav O. Yurchenko
Summary: This study numerically and analytically investigates the spectra of two harmonic oscillators with stochastically fluctuating coupling and driving forces, showing that the oscillation spectra exhibit mixing even at small coupling.
PHYSICAL REVIEW LETTERS
(2022)
Article
Mathematics, Applied
Georgi S. Medvedev, Matthew S. Mizuhara, Andrew Phillips
Summary: In this study, we investigate a system of coupled phase oscillators driven by random intrinsic frequencies near a saddle-node on invariant circle bifurcation. The system undergoes a phase transition and changes its qualitative properties of collective dynamics under the variation of control parameters. By using Ott-Antonsen reduction and geometric techniques for ordinary differential equations, we identify heteroclinic bifurcation in a family of vector fields on a cylinder, which explains the change in collective dynamics. Specifically, we demonstrate that heteroclinic bifurcation separates two topologically distinct families of limit cycles: contractible limit cycles before bifurcation and noncontractible ones after bifurcation. Both families are stable in the model at hand.
Article
Mathematics, Applied
Karthikeyan Rajagopal, Arthanari Ramesh, Irene Moroz, Prakash Duraisamy, Anitha Karthikeyan
Summary: This study focuses on the dynamical properties of bistable energy harvesters under periodic and quasiperiodic excitations, as well as the collective behavior in a network, successfully defining the conditions for achieving complete synchronization.
Article
Mathematics, Applied
Zhen Su, Juergen Kurths, Yaru Liu, Serhiy Yanchuk
Summary: Extreme multistability refers to the appearance of infinitely many coexisting attractors or continuous families of stable states in dynamical systems. In this study, we investigate a model of pendulum clocks coupled by springs and suspended on an oscillating base to demonstrate how extreme multistability can be induced through specifically designed coupling. Symmetric coupling is found to increase the dynamical complexity, leading to the generation of multiple isolated attractors and continuous families of stable periodic states. These coexisting states exhibit different levels of phase synchronization and can display splitting behavior.
Article
Physics, Fluids & Plasmas
Kazuha Itabashi, Quoc Hoan Tran, Yoshihiko Hasegawa
Summary: By proposing a topological approach to characterize the phase dynamics in coupled oscillators, this study gains insights into the collective dynamics of complex systems. The method extracts quantitative features describing the shape of the phase data and extends these features to time-variant characteristics. Combining these features with the kernel method allows for characterization of multiclustered synchronized dynamics and qualitative explanation of chimera states.
Article
Physics, Fluids & Plasmas
Qiwei Shen, Zonghua Liu
Summary: Understanding the mechanisms of firing propagation in brain networks has been a long-standing problem. The study explores firing propagation in the neural network of Caenorhabditis elegans and reveals an abnormal phenomenon of remote firing propagation between distant nodes. This finding provides insights into how cognitive subnetworks emerge in a brain network and is influenced by the network topology.
Article
Mathematics, Applied
David Mersing, Shannyn A. Tyler, Benjamas Ponboonjaroenchai, Mark R. Tinsley, Kenneth Showalter
Summary: The study investigates photochemically coupled micro-oscillators in star networks, showing that synchronization can be achieved through adjusting coupling strength. Both experimental and theoretical analysis provide insights into the synchronization mechanism, where phase divergence in heterogeneous oscillators can be realigned by perturbations from hub oscillator.
Article
Mathematics, Applied
L. Messee Goulefack, Marlon F. Ramos, R. Yamapi, C. Anteneodo
Summary: In this study, the dynamics of nonlocally coupled Hindmarsh-Rose neurons modified by coupling the induced magnetic flux to the membrane potential with a quadratic memristor of strength k were investigated. The nonlocal coupling involved the interaction of each neuron with its neighbors within a fixed radius, influencing the membrane potential with coupling intensity sigma. The study examined how variations of k and sigma affect the collective dynamics, finding that coherence typically increased when k and sigma were increased, except for small parameter ranges where the opposite behavior could occur. Moreover, varying k also affected the pattern of bursts and spikes, resulting in an increase in burst frequency, a decrease in the number and amplitude of spikes, and longer quiescent periods.
Article
Engineering, Mechanical
Mingxue Yang, Shuangjian Guo, Yirui Chen, Qionglin Dai, Haihong Li, Junzhong Yang
Summary: This study identified a two-frequency chimera state in which oscillators in different coherent domains oscillate at different velocities. Oscillators in coherent domains with higher mean phase velocity almost synchronize, while those in domains with lower mean phase velocity are randomly partitioned into two groups in antiphase. Additionally, the dynamics of local mean fields in these two types of coherent domains are found to be different.
NONLINEAR DYNAMICS
(2021)
Article
Mathematics, Interdisciplinary Applications
M. A. Ferre
Summary: Chimera states refer to a spatiotemporal phenomenon where coherence and incoherence dynamics coexist in homogeneous systems. Originally observed in non-locally coupled phase oscillators, this phenomenon has been observed in various systems including chaotic maps, time-delay systems, and complex networks. This review summarizes the different systems where chimera states are observed, focusing on theoretical and experimental contributions. It also critically examines the definitions of chimera states and presents some related works. Furthermore, new research perspectives are suggested due to the stage of the field.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
A. M. Cabanas, J. A. Velez, L. M. Perez, P. Diaz, M. G. Clerc, D. Laroze, B. A. Malomed
Summary: Discrete dissipative coupled systems exhibit complex behaviors, such as chaos and chimeras. This study investigates chimeras in a chain of parametrically driven sites with onsite damping and cubic nonlinearity. The research reveals regions in the parameter space populated by stable localized states of different types, and identifies a phase transition from stationary disordered states to spatially confined dynamical chaotic states.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Engineering, Mechanical
Saideh Khatami, Ehsan Bolhasani, Matjaz Perc, Alireza Valizadeh
Summary: This study investigates the impact of collective oscillations in brain networks on dynamic interactions and information transfer. The results show that the phase difference between oscillatory activities determines the transmission of neural signals. By adjusting the phase difference, the patterns of information transfer can be changed.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Applied
Attila Szolnoki, Matjaz Perc
Summary: The self-protection of alliances is crucial for maintaining biodiversity in the face of natural selection. Two-species alliances can either defeat each other or exchange positions through inner dynamics. The four-species model shows diverse behaviors depending on the characteristics of inner invasions and the intensity of site exchanges. In cases where the inner invasion is biased, three-member rock-scissors-paper-type solutions emerge. Interestingly, if the oppressed species engage in more intensive site exchanges, they can become a winning pair and dominate the parameter space.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Biophysics
Marko Sterk, Jurij Dolensek, Masa Skelin Klemen, Lidija Krizancic Bombek, Eva Paradiz Leitgeb, Jasmina Kercmar, Matjaz Perc, Marjan Slak Rupnik, Andraz Stozer, Marko Gosak
Summary: Islets of Langerhans are multicellular networks where hundreds of β cells work together to produce insulin. Recent studies have identified two subpopulations of β cells, called "hubs" and "wave-initiator cells," which play important roles in the collective dynamics of the islets. Hubs facilitate communication between cells and spread intercellular Ca2+ waves, while wave-initiator cells trigger intercellular signals. Understanding the characteristics and functions of these subpopulations is crucial for understanding diabetes.
BIOPHYSICAL JOURNAL
(2023)
Article
Engineering, Multidisciplinary
Ziwei Dong, Shuai Mao, Matjaz Perc, Wei Du, Yang Tang
Summary: With the rapid development of distributed energy resources, communication resources are becoming more and more important for implementing distributed algorithms. In order to reduce the communication burden required to solve the economic dispatch problem, this study considers the amount of information exchanged per broadcast, the broadcast frequency per iteration, and the number of iterations needed to achieve a certain accuracy. The proposed primal-dual based algorithm, integrated with a discrete dynamic event-triggered scheme, shows significant advantages in all three aspects. The algorithm is proven to converge to the optimal point at a linear convergence rate for suitable operating parameters and for cost functions that are strongly convex and smooth. Simulation experiments confirm the effectiveness and advantages of the approach.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2023)
Article
Mathematics, Applied
Luo-Luo Jiang, Zhi Chen, Matjaz Perc, Zhen Wang, Jurgen Kurths, Yamir Moreno
Summary: Collective risk social dilemmas, such as climate change mitigation and overuse of natural resources, are pressing global challenges. Previous research has examined this problem as a public goods game (PGG) where a dilemma arises between short-term interests and long-term sustainability. This study explores the effectiveness of costly punishment in enforcing cooperation through human experiments and finds that the underestimation of the risk of being punished plays a crucial role. Additionally, it discovers that high fines not only deter free riders but also demotivate generous altruists.
Article
Mathematics, Applied
Uros Barac, Matjaz Perc, Marko Gosak
Summary: We investigate collective failures in biologically realistic networks with coupled excitable units using the FitzHugh-Nagumo model. We examine different factors such as coupling strength, bifurcation distances, and aging scenarios that contribute to collective failure. Our findings show that targeting high-degree nodes for inactivation leads to the longest global activity in the network, consistent with previous results. However, we also demonstrate that the most efficient strategy for collective failure depends on both coupling strength and the distance from the bifurcation point to oscillatory behavior.
Review
Physics, Multidisciplinary
Peng Ji, Jiachen Ye, Yu Mu, Wei Lin, Yang Tian, Chittaranjan Hens, Matjaz Perc, Yang Tang, Jie Sun, Jurgen Kurths
Summary: Signal propagation in complex networks has significant implications in various fields, including epidemiology, social dynamics, neuroscience, engineering, and robotics. The geometry of signal propagation is determined by the network topology and diverse forms of nonlinear interactions. This comprehensive review explores different models and types of complex networks, network time series analysis techniques, and applications. It aims to provide an up-to-date understanding of signal propagation complexities for innovative applications and future research.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2023)
Article
Multidisciplinary Sciences
Atefeh Ahmadi, Sourav Roy, Mahtab Mehrabbeik, Dibakar Ghosh, Sajad Jafari, Matjaz Perc
Summary: This paragraph discusses the duopoly Stackelberg model in game theory, where a leader and a follower firm compete in the market to maximize profit. Real-world markets can exhibit chaotic behaviors and unpredictable changes. Taking into account the heterogeneity of the firms, a Stackelberg model with heterogeneous players and marginal costs is proposed. The equilibrium points, including the Nash equilibrium, are calculated and their stability is analyzed. Different parameters are explored to understand the dynamics through bifurcation diagrams, Lyapunov exponents spectra, and Kaplan-Yorke dimension. By combining state feedback and parameter adjustment methods, the chaotic solutions of the model are tamed and it converges to the Nash equilibrium.
Article
Information Science & Library Science
Mahsa Keshavarz-Fathi, Niloufar Yazdanpanah, Sajad Kolahchi, Heliya Ziaei, Gary L. Darmstadt, Tommaso Dorigo, Filip Dochy, Lisa Levin, Visith Thongboonkerd, Shuji Ogino, Wei-Hsin Chen, Matjaz Perc, Mark S. Tremblay, Bolajoko O. Olusanya, Idupulapati M. Rao, Nikos Hatziargyriou, Maziar Moradi-Lakeh, Federico Bella, Laszlo Rosivall, Amir H. Gandomi, Armin Sorooshian, Manoj Gupta, Ciprian Gal, Andres M. Lozano, Connie Weaver, Michael Tanzer, Alessandro Poggi, Sadaf G. Sepanlou, Ralf Weiskirchen, Anet Rezek Jambrak, Pedro J. Torres, Esra Capanoglu, Francisco J. Barba, Chua Kian Jon Ernest, Mariano Sigman, Stefano Pluchino, Gevork B. Gharehpetian, Seyed-Mohammad Fereshtehnejad, Muh-Hwa Yang, Sabu Thomas, Wenju Cai, Elisabetta Comini, Neil J. Scolding, Paul S. Myles, Juan J. Nieto, George Perry, Constantine Sedikides, Nima Rezaeia
Summary: Scientometrics and bibliometrics are subfields of library and information science that study the quantity and quality of research outputs. The h-index is the most well-known scientometric index, but it relies on the count of highly cited publications. To address this limitation, we developed a new index called the Universal Research Index (UR-Index) that considers the impact of every single publication. We incorporated additional variables such as publication type, leading role, co-author count, and source metrics into the UR-Index. However, we recognize that unconscious biases in these variables may disadvantage research from specific groups, and encourage efforts to improve equitable scholarly impact in science and academia.
JOURNAL OF ACADEMIC LIBRARIANSHIP
(2023)
Article
Mathematics, Interdisciplinary Applications
Haroldo Ribeiro, Diego D. Lopes, Arthur A. B. Pessa, Alvaro F. Martins, Bruno R. da Cunha, Sebastian Goncalves, Ervin K. Lenzi, Quentin S. Hanley, Matjaz Perc
Summary: Recent advances in deep learning have allowed researchers to develop algorithms for analyzing and modeling complex networks. This study explores the potential of graph convolutional networks in predicting various properties of criminal networks, and shows impressive accuracy in recovering missing partnerships, distinguishing types of associations, predicting monetary exchanges, and anticipating partnerships and recidivism in corruption networks. The deep learning models outperform shallow learning approaches and provide high-quality embeddings for node and edge properties. Additionally, the models inherit the advantages of the GraphSAGE framework, including generalization to unseen nodes and scalability for large graph structures.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Green & Sustainable Science & Technology
Kristijan Brglez, Matjaz Perc, Rebeka Kovacic Lukman
Summary: Cities are crucial for sustainable development, and decision-makers need help in developing city transformation plans. A content analysis using concept mapping revealed that city models are evolving by adopting beneficial solutions from competitors, with a strong focus on sustainable development. The study also identified and validated 24 research areas essential for implementing a circular city and developed a conceptual model for it. Testing the model highlighted challenges in monitoring the transition towards circularity. This research enhances understanding of city models and their evolution towards sustainability, providing valuable insights for decision-makers and urban planners.
CLEAN TECHNOLOGIES AND ENVIRONMENTAL POLICY
(2023)
Article
Mathematics, Applied
Li-Feng Hou, Gui-Quan Sun, Matjaz Perc
Summary: The spatiotemporal heterogeneity of human activities plays a significant role in vegetation patterns, enhancing diversity and preventing vegetation desertification.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Review
Biology
Chengyi Xia, Juan Wang, Matjaz Perc, Zhen Wang
Summary: Reputation and reciprocity are crucial mechanisms in promoting prosocial behavior in human societies. Recent research at the intersection of physics and evolutionary game theory has examined these mechanisms, focusing on image scoring and different forms of reciprocity. The study explores the dynamics of reputation and reciprocity and their impact on cooperation. It considers various models and experimental evidence to understand the evolution of cooperation. The review concludes with promising directions for future research in this field.
PHYSICS OF LIFE REVIEWS
(2023)
Editorial Material
Biology
Marko Gosak, Marko Milojevic, Maja Duh, Kristijan Skok, Matjaz Perc
PHYSICS OF LIFE REVIEWS
(2023)
Article
Multidisciplinary Sciences
Jamie J. R. Bennett, Anabele S. Gomes, Michel A. Ferre, Bidesh K. Bera, Fabian Borghetti, Ragan M. Callaway, Ehud Meron
Summary: Combining field studies and mathematical modeling, this research provides empirical evidence for the pattern-formation mechanism of the clonal shrub Guilandina bonduc L. on the Brazilian island of Trindade. The mechanism involves water conduction by laterally spread roots and root augmentation as the shoot grows, driving spatial patterning through a positive feedback loop. Guilandina expands into surrounding communities by decreasing the water potential in the soil, leaving behind a patchy landscape. This study highlights a novel invasion form that may apply to other pattern-forming invasive species.
