Chimeras in globally coupled oscillators: A review

A Mishra, S Saha, SK Dana - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
The surprising phenomenon of chimera in an ensemble of identical oscillators is no more
strange behavior of network dynamics and reality. By this time, this symmetry breaking self …

Chimera patterns in networks

A Zakharova - Springer, 2020 - Springer
Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

Weak signal enhancement by nonlinear resonance control in a forced nano-electromechanical resonator

A Chowdhury, MG Clerc, S Barbay… - Nature …, 2020 - nature.com
Driven non-linear resonators can display sharp resonances or even multistable behaviours
amenable to induce strong enhancements of weak signals. Such enhancements can make …

Mathematical framework for breathing chimera states

OE Omel'chenko - Journal of Nonlinear Science, 2022 - Springer
About two decades ago it was discovered that systems of nonlocally coupled oscillators can
exhibit unusual symmetry-breaking patterns composed of coherent and incoherent regions …

Harmonic and shock wave propagation in bistable periodic structure: regularity, randomness, and tunability

E Liu, X Fang, J Wen - Journal of Vibration and Control, 2022 - journals.sagepub.com
Nonlinear periodic structures can present abundant nonlinear wave physics. The model
consisting of periodic bistable oscillators (ie, the bistable periodic structure) is essentially …

Theoretical study and circuit implementation of three chain-coupled self-driven Duffing oscillators

B Sundarambal, LK Kemgang, K Jacques… - … Journal of Nonlinear …, 2023 - pubs.aip.org
In this paper, we describe the scenario from the birth of oscillations to multi-spiral chaos in a
novel system composed of three chain-coupled self-driven Duffing oscillators. Eight of the …

Complex localization mechanisms in networks of coupled oscillators: Two case studies

ZG Nicolaou, JJ Bramburger - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
Localized phenomena abound in nature and throughout the physical sciences. Some
universal mechanisms for localization have been characterized, such as in the snaking …

Critical visit to the chimera world

MA Ferré - Chaos, Solitons & Fractals, 2023 - Elsevier
Chimera states correspond to a spatiotemporal phenomenon that accounts for the
coexistence between coherence and incoherence dynamics in homogeneous systems …

Spatiotemporal spread of perturbations in a driven dissipative Duffing chain: An out-of-time-ordered correlator approach

AK Chatterjee, A Kundu, M Kulkarni - Physical Review E, 2020 - APS
Out-of-time-ordered correlators (OTOCs) have been extensively used as a major tool for
exploring quantum chaos, and recently there has been a classical analog. Studies have …

Experimental observations of nonlinear vibration localization in a cyclic chain of weakly coupled nonlinear oscillators

B Niedergesäß, A Papangelo, A Grolet… - Journal of sound and …, 2021 - Elsevier
Experimental results on nonlinear vibration localization in a cyclic chain of weakly coupled
oscillators with clearance nonlinearity are reported. Numerical modelling and analysis …