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The classical and quantum dynamics of two ultra-strongly coupled and weakly nonlinear resonators cannot be explained using the Discrete Nonlinear Schr\"odinger Equation or the Bose-Hubbard model, respectively. Instead, a model beyond the…

Quantum Physics · Physics 2014-03-13 Uta Naether , Juan José García-Ripoll , Juan José Mazo , David Zueco

The phase of Aharonov-Bohm oscillations in mesoscopic metal rings in the presence of a magnetic field can be modulated by application of a DC-bias current I_DC. We address the question of how a variation of I_DC and hence of the microscopic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Haeussler , E. Scheer , H. B. Weber , H. v. Loehneysen

We study chaotic dynamics in a system of four differential equations describing the dynamics of five identical globally coupled phase oscillators with biharmonic coupling. We show that this system exhibits strange spiral attractors…

Chaotic Dynamics · Physics 2022-09-21 Evgeny A. Grines , Alexey O. Kazakov , Igor R. Sataev

We study the negative couplings amid local resonances of photonic metasurfaces. In our analysis, we discover pseudo-spin-orbit coupled bulk modes leading to lines of circularly polarized radiation eigenstates in two-dimensional momentum…

Optics · Physics 2022-02-25 Wenlong Gao , Basudeb Sain , Thomas Zentgraf

The coupled electron-nuclear spin system in an InGaAs semiconductor as testbed of nonlinear dynamics can develop auto-oscillations, resembling time-crystalline behavior, when continuously excited by a circularly polarized laser. We expose…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Alex Greilich , Nataliia E. Kopteva , Vladimir L. Korenev , Manfred Bayer

Systems with the coexistence of different stable attractors are widely exploited in systems biology in order to suitably model the differentiating processes arising in living cells. In order to describe genetic regulatory networks several…

Dynamical Systems · Mathematics 2010-07-16 V. Lanza , L. Ponta , M. Bonnin , F. Corinto

Aperiodicity and un-conventional rotational symmetries allow quasicrystalline structures to exhibit unprecedented physical and functional properties. In magnetism, artificial ferromagnetic quasicrystals exhibited knee anomalies suggesting…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Vinayak Shantaram Bhat , Sho Watanabe , Florian Kronast , Korbinian Baumgaertl , Dirk Grundler

We present a theoretical and experimental study of superconducting ring resonators as an initial step toward their implementation in superconducting electronics and quantum technologies, with promising applications including superconducting…

Superconductivity · Physics 2026-01-16 Zhenyuan Sun , Stafford Withington , Christopher Thomas , Songyuan Zhao

A nonlinear RLC resonator is investigated experimentally and numerically using bifurcation analysis. The nonlinearity is due to the parallel combination of a semiconductor rectifier diode and a fixed capacitor. The diode's junction…

Classical Physics · Physics 2024-07-03 Edward H. Hellen

Systems of coupled cavity modes have the potential to provide bright quantum optical states of light in a highly versatile manner. Microring resonators for instance are highly scalable candidates for photon sources thanks to CMOS…

Quantum Physics · Physics 2021-06-04 Will McCutcheon

We study nonlinear dynamics of two coupled contrast agents that are micro-meter size gas bubbles encapsulated into a viscoelastic shell. Such bubbles are used for enhancing ultrasound visualization of blood flow and have other promising…

Dynamical Systems · Mathematics 2019-07-24 Ivan R. Garashchuk , Dmitry I. Sinelshchikov , Alexey O. Kazakov , Nikolay A. Kudryashov

We consider a permanent magnetic dipole in an oscillating magnetic field. This magnetic oscillator has two dynamical symmetries. With increasing the amplitude $A$ of the magnetic field, dynamical behaviors associated with the symmetries are…

chao-dyn · Physics 2009-09-25 Sang-Yoon Kim

We describe a flexible and modular delayed-feedback nonlinear oscillator that is capable of generating a wide range of dynamical behaviours, from periodic oscillations to high-dimensional chaos. The oscillator uses electrooptic modulation…

Many systems in physics, chemistry and biology exhibit oscillations with a pronounced random component. Such stochastic oscillations can emerge via different mechanisms, for example linear dynamics of a stable focus with fluctuations,…

Adaptation and Self-Organizing Systems · Physics 2023-11-17 Alberto Pérez-Cervera , Boris Gutkin , Peter J. Thomas , Benjamin Lindner

Optical frequency combs generated in normally dispersive Kerr microresonators have been observed to correspond to dark temporal structures, and theoretically explained as interlocked switching waves (also known as domain walls or fronts).…

Two basic physical models, a two-level system and a harmonic oscillator, are realized on the mesoscopic scale as coupled qubit and resonator. The realistic system includes moreover the electronics for controlling the distance between the…

Mesoscale and Nanoscale Physics · Physics 2012-05-04 S. N. Shevchenko , A. N. Omelyanchouk , E. Il'ichev

A one-parameter family of time-reversible systems on $\mathbb{T}^3$ is considered. It is shown that the dynamics is not conservative, namely the attractor and repeller intersect but not coincide. We explain this as the manifestation of the…

Dynamical Systems · Mathematics 2017-05-24 Alexander S. Gonchenko , Sergey V. Gonchenko , Alexey O. Kazakov , Dmitry V. Turaev

We study the formation of chaos and strange attractors in the order parameter space of a system of two coupled, non-resonantly driven exciton-polariton condensates. The typical scenario of bifurcations experienced by the system with…

Mesoscale and Nanoscale Physics · Physics 2020-04-21 R. Ruiz-Sánchez , R. Rechtman , Y. G. Rubo

We introduce a new class of optical micromotors driven by the spin-orbit interaction of light and spin-driven fluid flows leading to simultaneous rotation and revolution of the micromotors. The micromotors are essentially birefringent…

Hydrodynamic synchronization provides a general mechanism for the spontaneous emergence of coherent beating states in independently driven mesoscopic oscillators. A complete physical picture of those phenomena is of definite importance to…

Soft Condensed Matter · Physics 2014-01-29 Nick Koumakis , Roberto Di Leonardo