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We study the collective dynamics of coupled Stuart--Landau oscillators, which model limit-cycle behavior near a Hopf bifurcation and serve as the amplitude-phase analogue of the Kuramoto model. Unlike the well-studied phase-reduced systems,…

Dynamical Systems · Mathematics 2025-10-08 Ana P Millán , David Poyato , David N Reynolds , Francesco Tudisco

Reaction-diffusion (RD) mechanisms in chemical and biological systems can yield a variety of patterns that may be functionally important. We show that diffusive coupling through the inactivating component in a generic model of coupled…

Pattern Formation and Solitons · Physics 2013-05-30 Rajeev Singh , Sitabhra Sinha

For a network of generic oscillators with nonlocal topology and symmetry-breaking coupling we establish novel partially coherent inhomogeneous spatial patterns, which combine the features of chimera states (coexisting incongruous coherent…

Adaptation and Self-Organizing Systems · Physics 2015-06-18 Anna Zakharova , Marie Kapeller , Eckehard Schöll

We study the effects of phase-frustrated, higher-order interactions in a system of coupled phase oscillators with two communities. We use dimensionality reduction techniques to derive a low-dimensional system of ODEs to describe the…

Adaptation and Self-Organizing Systems · Physics 2025-07-11 Sabina Adhikari , Juan G. Restrepo , Per Sebastian Skardal

We report the occurrence of amplitude death (AD) of limit cycle oscillations in a bluff body stabilized turbulent combustor through delayed acoustic self-feedback. Such feedback control is achieved by coupling the acoustic field of the…

This study investigates the synchronization dynamics of coupled-oscillator systems in which some of the oscillators are damaged and lose their autonomous oscillations. The damaged elements are modeled using damped oscillators; thus, the…

Adaptation and Self-Organizing Systems · Physics 2025-11-18 Shota Inagawa , Hiroki Hata , Shigefumi Hata

Based on the KP hierarchy reduction method, the general multi-dark soliton solutions in Gram type determinant forms for the multi-component coupled Maccari system are constructed. Especially, the three-component coupled Maccari system…

Pattern Formation and Solitons · Physics 2020-01-08 Tao Xu , Yong Chen

Recently it has been discovered that certain two-qutrit entangled states interacting with global and/or multi-local decoherence undergo distillability sudden death (DSD). We investigate this phenomenon for qutrit-qutrit systems interacting…

Quantum Physics · Physics 2015-05-14 Mazhar Ali

We report results on a model of two coupled oscillators that undergo periodic parametric modulations with a phase difference $\theta$. Being to a large extent analytically solvable, the model reveals a rich $\theta$ dependence of the…

Statistical Mechanics · Physics 2009-10-31 Mauro Copelli , Katja Lindenberg

We demonstrate single-mode lasing of magnon polaritons in a cavity magnonic system enabled by dissipative coupling between two passive modes, microwave cavity mode and magnon mode in a ferrimagnetic spin ensemble. The cavity mode is…

Optics · Physics 2025-11-25 Zi-Qi Wang , Zi-Yuan Wang , Yi-Pu Wang , J. Q. You

Generation and manipulation of many-body entangled states is of considerable interest, for applications in quantum simulation or sensing, for example. Measurement and verification of the resulting many-body state presents a formidable…

Quantum Physics · Physics 2020-02-12 Jonathan Kohler , Justin A. Gerber , Emma Deist , Dan M. Stamper-Kurn

The behavior at bifurcation from global synchronization to partial synchronization in finite networks of coupled oscillators is a complex phenomenon, involving the intricate dynamics of one or more oscillators with the remaining…

Adaptation and Self-Organizing Systems · Physics 2021-07-09 Lauren D Smith , Georg A Gottwald

We examine the linear and nonlinear modes of a one-dimensional nonlinear electrical lattice, where the usual discrete Laplacian is replaced by a fractional discrete Laplacian. This induces a long-range intersite coupling that, at long…

Pattern Formation and Solitons · Physics 2021-09-01 Mario I. Molina

We provide a complete characterization of the evolution of entanglement between two oscillators coupled to a common environment. For initial Gaussian states we identify three phases with different qualitative long time behavior: There is a…

Quantum Physics · Physics 2009-11-13 Juan Pablo Paz , Augusto J. Roncaglia

Coupled oscillators are shown to experience amplitude death for a much larger set of parameter values when they are connected with time delays distributed over an interval rather than concentrated at a point. Distributed delays enlarge and…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Fatihcan M. Atay

This work addresses non-classically damped coupled oscillators with closely spaced modes focusing on the physics of modal interactions. Considering the simplest representative example in the form of an impulsively excited…

We demonstrate the mechanisms of emergence and the link between two types of symmetry-broken states, the unbalanced periodic two-cluster states and solitary states, in coupled excitable systems with prevalent repulsive interactions.…

Adaptation and Self-Organizing Systems · Physics 2022-01-26 Igor Franović , Sebastian Eydam , Nadezhda Semenova , Anna Zakharova

We investigate a resonantly modulated harmonic mode, dispersively coupled to a nonequilibrium few-level quantum system. We focus on the regime where the relaxation rate of the system greatly exceeds that of the mode, and develop a quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Z. Maizelis , M. Rudner , M. I. Dykman

Understanding the global dynamical behaviour of a network of coupled oscillators has been a topic of immense research in many fields of science and engineering. Various factors govern the resulting dynamical behaviour of such networks,…

Adaptation and Self-Organizing Systems · Physics 2022-07-19 Krishna Manoj , Samadhan A. Pawar , R. I. Sujith

The emergence and nature of amplitude mediated chimera states, spatio-temporal patterns of co-existing coherent and incoherent regions, are investigated for a globally coupled system of active and inactive Ginzburg-Landau oscillators. The…

Chaotic Dynamics · Physics 2019-01-25 Rupak Mukherjee , Abhijit Sen