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
Mathematics, Applied
Peihua Feng, Jiayi Yang, Ying Wu, Zhilong Liu
Summary: Chimera, the coexistence of synchronization and non-synchronization in complex networks, has great explanatory power for unihemispheric sleep in birds and mammals. In this study, a coupled nonlinear oscillator system with a modular complex network topology was used to simulate the left and right hemispheres of the brain. The results showed the emergence of stable chimera, alternating chimera, and breathing chimera when changing the coupling strength and connection probability. Furthermore, the study found that the alternating chimera was robust to Gaussian white noise. This research provides deeper insights into the mechanism of brain functions like unihemispheric sleep.
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
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
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
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
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
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
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
Alejandro Carballosa, Alberto P. Munuzuri
Summary: This study proposes a mathematical model that analyzes the consequences of mixing on synchronization patterns. It finds that low levels of mixing can lead to irregular states and novel non-fully synchronized behaviors in a small parameter space.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Fluids & Plasmas
Shuangjian Guo, Mingxue Yang, Wenchen Han, Junzhong Yang
Summary: Different types of dynamical states and their transitions were explored in a system composed of nonidentical phase oscillator subpopulations through numerical simulations and theoretical analyses. This study revealed the specific roles and relationships of chimera states in the system.
Article
Physics, Fluids & Plasmas
Biswabibek Bandyopadhyay, Tanmoy Banerjee
Summary: This study investigates the impact of Kerr anharmonicity on the symmetry-breaking phenomena of coupled quantum oscillators, revealing that Kerr nonlinearity hinders the process of symmetry breaking in both cases. The findings provide a means to control and engineer symmetry-breaking states for quantum technology.
