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Generation of odd harmonics by a super strong focused laser beam in vacuum is considered. The process occurs due to the plural light-by-light scattering effect. In the leading order of perturbation theory, generation of $(2k+1)$th harmonic…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. M. Fedotov , N. B. Narozhny

In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find diffusive trajectories, which share their appearance with that of laminar chaotic diffusion [Phys. Rev. Lett. 128, 074101 (2022)] known from delay…

Chaotic Dynamics · Physics 2023-01-18 David Müller-Bender , Rahil N. Valani , Günter Radons

We examine the dynamics of semiconductor lasers coupled in a ring configuration. The lasers, which have stable output intensity when isolated, behave chaotically when coupled unidirectionally in a closed chain. In this way, we show that…

Chaotic Dynamics · Physics 2015-06-26 Javier M. Buldu , M. C. Torrent , Jordi Garcia-Ojalvo

The motion of a relativistic test electron in a free electron laser can be altered significantly by an ideal coaxial wiggler field and uniform axial guide field. I have investigated the group I, group II and group III (the new group that,…

Plasma Physics · Physics 2007-05-23 B. Farokhi , S. Mobarakabadi

The route to chaos as the pump power is raised in the Lorenz-like ammonia laser is studied using transients and compared with the route which is expected in the Lorenz Haken equations. The differences between the routes to chaos, as…

chao-dyn · Physics 2008-02-03 R. Dykstra , M. Y. Li , N. R. Heckenberg

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

A new formulation of the theory of quantum mechanical multichannel scattering for three-body collinear systems is proposed. It is shown, that in this simple case the principle of quantum determinism in the general case breaks down and we…

Quantum Physics · Physics 2015-06-26 A. V. Bogdanov , A. S. Gevorkyan , A. G. Grigoryan , S. A. Matveev

Chaos has revolutionized the field of nonlinear science and stimulated foundational studies from neural networks, extreme event statistics, to physics of electron transport. Recent studies in cavity optomechanics provide a new platform to…

Full general relativity requires that chaos indicators should be invariant in various spacetime coordinate systems for a given relativistic dynamical problem. On the basis of this point, we calculate the invariant Lyapunov exponents (LEs)…

General Relativity and Quantum Cosmology · Physics 2010-04-29 Xin Wu , Yi Xie

The main signature of chaos in a quantum system is provided by spectral statistical analysis of the nearest neighbor spacing distribution and the spectral rigidity given by $\Delta_3(L)$. It is shown that some standard unfolding procedures,…

Chaotic Dynamics · Physics 2016-09-08 J. M. G. Gomez , R. A. Molina , A. Relano , J. Retamosa

We demonstrate for a nonlinear photonic system that two highly asymmetric feedback delays can induce a variety of emergent patterns which are highly robust during the system's global evolution. Explicitly, two-dimensional chimeras and…

Phase noise or frequency noise is a key metrics to evaluate the short term stability of a laser. This property is of a great interest for the applications but delicate to characterize, especially for narrow line-width lasers. In this…

Nonlinear dynamical systems, ranging from insect populations to lasers and chemical reactions, might exhibit sensitivity to small perturbations in their control parameters, resulting in uncertainties on the predictability of tunning…

Chaotic Dynamics · Physics 2014-03-10 E. S. Medeiros , I. L. Caldas , M. S. Baptista

Complex spatiotemporal dynamics have been a subject of recent experimental investigations in optical frequency comb microresonators and in driven fiber cavities with a Kerr-type media. We show that this complex behavior has a spatiotemporal…

Chaotic Dynamics · Physics 2017-04-05 Z. Liu , M. Ouali , S. Coulibaly , M. G. Clerc , M. Taki , M. Tlidi

Spatio-temporal chaos is predicted to occur in n-doped semiconductor superlattices with sequential resonant tunneling as their main charge transport mechanism. Under dc voltage bias, undamped time-dependent oscillations of the current (due…

Condensed Matter · Physics 2009-10-28 O. M. Bulashenko , L. L. Bonilla

We consider a chain of nonlinear oscillators with long-range interaction of the type 1/l^{1+alpha}, where l is a distance between oscillators and 0< alpha <2. In the continues limit the system's dynamics is described by the Ginzburg-Landau…

Chaotic Dynamics · Physics 2009-11-13 G. M Zaslavsky , M. Edelman , V. E. Tarasov

We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows us to track a high dimensional chaotic attractor through a bifurcation where it…

Dynamical Systems · Mathematics 2014-06-30 Jan Sieber , Oleh Omel'chenko , Matthias Wolfrum

The study of nonlinear dynamics or chaos theory has emerged in the last three decades or so as an important interdisciplinary area of research encompassing a wide range of fields like: fluids, plasmas, biomedical sciences, finance,…

Plasma Physics · Physics 2010-03-26 Md. Nurujjaman

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 present the first report of the synchronization regimes in both unidirectionally and bidirectionally-coupled multiple time delay chaotic laser diodes subject to incoherent optical feedbacks and incoherent optical injection. We derive the…

Chaotic Dynamics · Physics 2009-04-29 E. M. Shahverdiev , K. A. Shore