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Related papers: Smallest chimeras under repulsive interactions

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We investigate the basin of attraction properties and its boundaries for chimera states in a circulant network of H\'enon maps. Chimera states, for which coherent and incoherent domains coexist, emerge as a consequence of the coexistence of…

The chiral p-wave order parameter in Sr$_\mathsf{2}$RuO$_\mathsf{4}$ would make it a special case amongst the unconventional superconductors. A consequence of this symmetry is the possible existence of superconducting domains of opposite…

We investigate the synchronization behavior and the emergence of chimera states in a system of two interacting populations of maps possessing chaotic neural-like dynamics. We characterize four collective states on the space of coupling…

Adaptation and Self-Organizing Systems · Physics 2024-07-31 V. J. Márquez-Rodríguez , K. Tucci , M. G. Cosenza

We report and classify the rich variety of patterns forming spontaneously in the oxide layer during the oscillatory photoelectrodissolution of n-type doped silicon electrodes under limited illumination. Remarkably, these patterns are often…

Pattern Formation and Solitons · Physics 2014-06-16 Konrad Schoenleber , Carla Zensen , Andreas Heinrich , Katharina Krischer

We study a Josephson junction in a Kitaev chain with particle-hole symmetric nearest neighbor interactions. When the phase difference across the junction is $\pi$, we show analytically that the full spectrum is fourfold degenerate up to…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Julia Boeyens , Izak Snyman

We report a novel mechanism for the formation of chimera states, a peculiar spatiotemporal pattern with coexisting synchronized and incoherent domains found in ensembles of identical oscillators. Considering Stuart-Landau oscillators we…

Chaotic Dynamics · Physics 2015-06-18 Lennart Schmidt , Konrad Schönleber , Katharina Krischer , Vladimir García-Morales

Synchronization is a universal phenomenon, seen in systems as diverse as superconducting Josephson junctions and discharging pacemaker cells. Here the elements have rhythmic state variables whose mutual influence promotes temporal order. A…

Adaptation and Self-Organizing Systems · Physics 2018-08-15 Kevin P. O'Keeffe , Joep H. M. Evers , Theodore Kolokolnikov

We demonstrate that chimera behavior can be observed in nonlocally coupled networks of excitable systems in the presence of noise. This phenomenon is distinct from classical chimeras, which occur in deterministic oscillatory systems, and it…

Adaptation and Self-Organizing Systems · Physics 2016-07-06 Nadezhda Semenova , Anna Zakharova , Vadim Anishchenko , Eckehard Schöll

Establishment of phase-coherence and a non-dissipative (super)current between two weakly coupled superconductors, known as the Josephson effect, plays a foundational role in basic physics and applications to metrology, precision sensing,…

The three-rotor system concerns equally massive point particles moving on a circle subject to attractive cosine potentials of strength $g$. The quantum theory models chains of coupled Josephson junctions. Classically, it displays…

Chaotic Dynamics · Physics 2023-08-15 Govind S Krishnaswami , Ankit Yadav

The problem of finding the minimum-energy configuration of particles on a lattice, subject to a generic short-ranged repulsive interaction, is studied analytically. The study is relevant to charge ordered states of interacting fermions, as…

Condensed Matter · Physics 2015-06-25 G. I. Watson

Interaction via pulses is common in many natural systems, especially neuronal. In this article we study one of the simplest possible systems with pulse interaction: a phase oscillator with delayed pulsatile feedback. When the oscillator…

Chaotic Dynamics · Physics 2015-12-14 Vladimir Klinshov , Leonhard Luecken , Dmitry Shchapin , Vladimir Nekorkin , Serhiy Yanchuk

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. Since then such patterns, called chimera states, have been…

Adaptation and Self-Organizing Systems · Physics 2022-01-11 Oleh Omel'chenko

Nontrivial collective behavior may emerge from the interactive dynamics of many oscillatory units. Chimera states are chaotic patterns of spatially localized coherent and incoherent oscillations. The recently-introduced notion of a weak…

Dynamical Systems · Mathematics 2016-10-10 Christian Bick , Peter Ashwin

Noise induced order in excitable systems has diverse manifestations, such as coherence resonance (CR) and stochastic resonance. In this context a less explored phenomenon is self-induced stochastic resonance (SISR). Unlike CR, SISR may…

Adaptation and Self-Organizing Systems · Physics 2023-08-09 Taniya Khatun , Tanmoy Banerjee

We report the appearance and the metamorphoses of spiral wave chimera states in coupled phase oscillators with inertia. First, when the coupling strength is small enough, the system behavior resembles classical two-dimensional (2D)…

Adaptation and Self-Organizing Systems · Physics 2020-10-28 Volodymyr Maistrenko , Oleksandr Sudakov , Yuri Maistrenko

Chimera states in spatially extended networks of oscillators have some oscillators synchronised while the remainder are asynchronous. These states have primarily been studied in networks with nonlocal coupling, and more recently in networks…

Pattern Formation and Solitons · Physics 2015-12-09 Carlo R. Laing

Oscillatory media can exhibit the coexistence of synchronized and desynchronized regions, so-called chimera states, for uniform parameters and symmetrical coupling. In a phase-balanced chimera state, where the totals of synchronized and…

Chaotic Dynamics · Physics 2015-05-22 Sindre W. Haugland , Lennart Schmidt , Katharina Krischer

Understanding and controlling the mechanisms behind synchronization phenomena is of paramount importance in nonlinear science. In particular, the emergence of chimera states, patterns in which order and disorder coexist simultaneously,…

Pattern Formation and Solitons · Physics 2025-10-22 Riccardo Muolo , Lucia Valentina Gambuzza , Hiroya Nakao , Mattia Frasca

We analyze the impact of trap states in the oxide layer of a superconducting tunnel junctions, on the fluctuation of the Josephson critical current, thus on coherence in superconducting qubits. Two mechanisms are usually considered: the…

Mesoscale and Nanoscale Physics · Physics 2011-12-02 Mohammad H. Ansari , Frank K. Wilhelm