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Semiconductor laser arrays have been investigated experimentally and theoretically from the viewpoint of temporal and spatial coherence for the past forty years. In this work, we are focusing on a rather novel complex collective behavior,…

Adaptation and Self-Organizing Systems · Physics 2017-01-19 Joniald Shena , Johanne Hizanidis , Vassilios Kovanis , George P. Tsironis

The study of deterministic chaos continues to be one of the important problems in the field of nonlinear dynamics. Interest in the study of chaos exists both in low-dimensional dynamical systems and in large ensembles of coupled…

Chaotic Dynamics · Physics 2021-06-30 V. O. Munyaev , D. S. Khorkin , M. I. Bolotov , L. A. Smirnov , G. V. Osipov

We perform a systematic study of the temporal dynamics emerging in the asymmetrically driven dissipative Bose-Hubbard dimer model. This model successfully describes the nonlinear dynamics of photonic diatomic molecules in linearly coupled…

Pattern Formation and Solitons · Physics 2022-08-17 Jesús Yelo Sarrión , François Leo , Simon-Pierre Gorza , Pedro Parra-Rivas

The new phenomenon of semiquantum chaos is analyzed in a classically regular double-well oscillator model. Here it arises from a doubling of the number of effectively classical degrees of freedom, which are nonlinearly coupled in a Gaussian…

chao-dyn · Physics 2009-10-28 T. Blum , H. -Th. Elze

The control of nonlinear processes and possible transitions to chaos in systems of interacting particles is a fundamental physical problem. We propose a new nonuniform solid-state plasma system, produced by the optical injection of current…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 E. Ya. Sherman , R. M. Abrarov , J. E. Sipe

A novel type of self-organized lattice in which chaotic defects are arranged periodically is reported for a coupled map model of open flow. We find that temporally chaotic defects are followed by spatial relaxation to an almost periodic…

chao-dyn · Physics 2009-10-22 Frederick H. Willeboordse , Kunihiko Kaneko

The presence of a period-doubling cascade in dynamical systems that depend on a parameter is one of the basic routes to chaos. It is rarely mentioned that there are virtually always infinitely many cascades whenever there is one. We report…

Chaotic Dynamics · Physics 2009-10-20 Evelyn Sander , James A. Yorke

We show that the output of systems with time-varying delay can exhibit a new kind of chaotic behavior characterized by laminar phases, which are periodically interrupted by irregular bursts. Within each laminar phase the output intensity…

Chaotic Dynamics · Physics 2022-02-22 David Müller , Andreas Otto , Günter Radons

We study the exact dynamics underlying stimulated Raman adiabatic passage (STIRAP) for a particle in a multi-level anharmonic system (the infinite square-well) driven by two sequential laser pulses, each with constant carrier frequency. In…

Quantum Physics · Physics 2009-11-10 Kyungsun Na , L. E. Reichl

Studying transition to a highly disordered state of turbulence from a linearly stable coherent laminar state is conceptually and technically challenging and immensely important, e.g. all pipe and channel flows are of that type. In optics,…

The bifurcation and chaotic behaviour of unidirectionally coupled deterministic ratchets is studied as a function of the driving force amplitude ($a$) and frequency ($\omega$). A classification of the various types of bifurcations likely to…

Chaotic Dynamics · Physics 2009-11-11 U. E. Vincent , A. Kenfack , A. N. Njah , O. Akinlade

We study theoretically quantum states of a pair of photons interacting with a finite periodic array of two-level atoms in a waveguide. Our calculation reveals two-polariton eigenstates that have a highly irregular wave-function in real…

Quantum Physics · Physics 2021-05-26 Alexander V. Poshakinskiy , Janet Zhong , Alexander N. Poddubny

We describe some highlights in the theory of chaos, that started with Poincare (1899). Generic systems have both ordered and chaotic domains. Chaos appears mainly near un- stable periodic orbits. Large chaotic domains are due to resonance…

Chaotic Dynamics · Physics 2018-07-26 George Contopoulos

We use a third-order perturbation theory and Melnikov's method to prove the existence of chaos in spinning circular disks subject to a lateral point load. We show that the emergence of transverse homoclinic and heteroclinic points…

Chaotic Dynamics · Physics 2009-11-13 Arzhang Angoshtari , Mir Abbas Jalali

Under the action of light-by-light scattering, light beams show collective behaviors in vacuum. For instance, in the case of two counterpropagating laser beams with specific initial helicity, the polarization of each beam oscillates…

Optics · Physics 2018-03-07 Fabio Briscese

Chimera is a rich and fascinating class of self-organized solutions developed in high dimensional networks having non-local and symmetry breaking coupling features. Its accurate understanding is expected to bring important insight in many…

Optics · Physics 2018-10-03 Laurent Larger , Bogdan Penkovsky , Yuri Maistrenko

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

Chaos is an inherently dynamical phenomenon traditionally studied for trajectories that are either permanently erratic or transiently influenced by permanently erratic ones lying on a set of measure zero. The latter gives rise to the final…

Chaotic Dynamics · Physics 2013-11-12 Adilson E. Motter , Marton Gruiz , Gyorgy Karolyi , Tamas Tel

Using results of numerical simulations and Galactic and galaxy clusters observations, it is shown that the transition from deterministic chaos to hard turbulence in the Galactic and galaxy clusters magnetized plasmas occurs via a…

Astrophysics of Galaxies · Physics 2024-11-28 A. Bershadskii

We report on a simple and robust technique to generate a dispersive signal which serves as an error signal to electronically stabilize a monomode cw laser emitting around an atomic resonance. We explore nonlinear effects in the laser beam…