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Our work presents a study on the nonlinear dynamical behavior for a microcavity semiconductor containing a quantum well. Using an external periodic perturbation in energy level we observe the periodic-doubling, quasiperiodic, and direct…

Chaotic Dynamics · Physics 2015-06-04 Hichem Eleuch , Awadhesh Prasad

As a result of resonance overlap, planetary systems can exhibit chaotic motion. Planetary chaos has been studied extensively in the Hamiltonian framework, however, the presence of chaotic motion in systems where dissipative effects are…

Earth and Planetary Astrophysics · Physics 2015-05-28 Konstantin Batygin , Alessandro Morbidelli

The optomechanical systems produce chaotic behaviour due to nonlinear interaction between photons and phonons, and the same systems are used to understand the synthetic fields as well. Here, we report on the study of chaotic behaviour in…

Optics · Physics 2024-07-22 Souvik Mondal , Murilo S. Baptista , Kapil Debnath

A class of n-dimensional Poisson systems reducible to an unperturbed harmonic oscillator shall be considered. In such case, perturbations leaving invariant a given symplectic leaf shall be investigated. Our purpose will be to analyze the…

Mathematical Physics · Physics 2020-01-31 Isaac A. García , Benito Hernández-Bermejo

We report in this paper a complete analytical study on the bifurcations and chaotic phenomena observed in certain second-order, non-autonomous, dissipative chaotic systems. One-parameter bifurcation diagrams obtained from the analytical…

Chaotic Dynamics · Physics 2019-03-13 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

Symmetry and symmetry breaking of light states play an important role in photonic integrated circuits and have recently attracted lots of research interest that is relevant to the manipulation of light polarisation, telecommunications, all…

Optics · Physics 2023-09-14 Alekhya Ghosh , Lewis Hill , Gian-Luca Oppo , Pascal Del'Haye

We study the classical dynamics of resonantly modulated large-spin systems in a strong magnetic field. We show that these systems have special symmetry. It leads to characteristic nonlinear effects. They include abrupt switching between…

Mesoscale and Nanoscale Physics · Physics 2008-02-19 C. Hicke , M. I. Dykman

Non-reciprocal devices, with one-way transport properties, form a key component for isolating and controlling light in photonic systems. Optomechanical systems have emerged as a potential platform for optical non-reciprocity, due to ability…

Quantum Physics · Physics 2017-01-11 Xunnong Xu , Jacob M. Taylor

We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera states. Introducing a global feedback loop, connecting the phase lag to the order…

Chaotic Dynamics · Physics 2015-08-03 Matthias Wolfrum , Oleh Omel'chenko , Jan Sieber

We experimentally investigate a superconducting circuit composed of two flux qubits ultrastrongly coupled to a common LC resonator. Owing to the large anharmonicity of the flux qubits, the system can be described well by a generalized Dicke…

Light injected into a spherical dielectric body may be confined very efficiently via the mechanism of total internal reflection. The frequencies that are most confined are called resonances. If the shape of the body deviates from the…

Optics · Physics 2020-09-30 Julius Gohsrich

We report on the experimental investigation of gluing bifurcations in the analog electronic circuit which models a dynamical system of the third order: Lorenz equations with an additional quadratic nonlinearity. Variation of one of the…

Chaotic Dynamics · Physics 2015-11-19 Sayat N. Akhtanov , Zeinulla Zh. Zhanabaev , Michael A. Zaks

In this article we introduce an original model in order to study the emergence of chaos in a reaction diffusion system in the presence of self- and cross-diffusion terms. A Fourier Spectral Method is derived to approximate equilibria and…

Dynamical Systems · Mathematics 2024-12-24 Benjamin Aymard

Non-reciprocal devices, which allow the non-reciprocal signal routing, serve as the fundamental elements in photonic and microwave circuits and are crucial in both classical and quantum information processing. The radiation-pressure-induced…

The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences. Motivated by recent…

Adaptation and Self-Organizing Systems · Physics 2015-08-24 Per Sebastian Skardal , Alex Arenas

We examine a model system where attractors may consist of a heteroclinic cycle between chaotic sets; this `cycling chaos' manifests itself as trajectories that spend increasingly long periods lingering near chaotic invariant sets…

chao-dyn · Physics 2009-10-28 Peter Ashwin , A. M. Rucklidge

Experiments during the past two years have shown strong resonant photon-magnon coupling in microwave cavities, while coupling in the optical regime was demonstrated very recently for the first time. Unlike with microwaves, the coupling in…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 Silvia Viola Kusminskiy , Hong X. Tang , Florian Marquardt

The effect of decaying oscillatory perturbations on autonomous Hamiltonian systems in the plane with a stable equilibrium is investigated. It is assumed that perturbations preserve the equilibrium and satisfy a resonance condition. The…

Dynamical Systems · Mathematics 2023-10-11 Oskar Sultanov

Over the past decade, strong interactions of light and matter at the single-photon level have enabled a wide set of scientific advances in quantum optics and quantum information science. This work has been performed principally within the…

Oscillating chemical reactions result from complex periodic changes in the concentration of the reactants. In spatially ordered ensembles of candle flame oscillators the fluctuations in the ratio of oxygen atoms with respect to that of…

Chemical Physics · Physics 2016-06-07 Derek Michael Forrester