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We investigate the stabilization of unstable multidimensional partially observed single-sensor and multi-sensor linear systems driven by unbounded noise and controlled over discrete noiseless channels under fixed-rate information…

Optimization and Control · Mathematics 2012-09-21 Andrew P. Johnston , Serdar Yüksel

Some systems cannot be predicted by classical theories and it is required the development of combined deterministic and stochastic theories that make used of noise for dynamical prediction. Noise is not always an interfering signal which…

Adaptation and Self-Organizing Systems · Physics 2019-05-14 Alexandra Pinto Castellanos

Recently, it was shown that strongly driven micromechanical resonators show mode shapes that strongly differ from the eigenmodes. This raises the question of the origin of this nonlinear behavior. We measure the spatial dependence of the…

Optics · Physics 2025-07-18 Timo Sommer , Agnes Zinth , Aditya , Menno Poot

The paper considers a stabilizing stochastic control which can be applied to a variety of unstable and even chaotic maps. Compared to previous methods introducing control by noise, we relax assumptions on the class of maps, as well as…

Dynamical Systems · Mathematics 2019-02-25 Elena Braverman , Alexandra Rodkina

We perform a comprehensive analysis of the spectral statistics of the molecular resonances in $^{166}$Er and $^{168}$Er observed in recent ultracold collision experiments [Frisch et al., Nature {\bf 507}, 475 (2014)] with the aim of…

Quantum Gases · Physics 2015-10-07 J. Mur-Petit , R. A. Molina

We conjecture that chaotic resonance modes in scattering systems are a product of a conditionally invariant measure from classical dynamics and universal exponentially distributed fluctuations. The multifractal structure of the first factor…

Optics · Physics 2022-11-18 Roland Ketzmerick , Konstantin Clauß , Felix Fritzsch , Arnd Bäcker

The temporal dynamics of a storage-ring Free Electron Laser is here investigated with particular attention to the case in which an external modulation is applied to the laser-electron beam detuning. The system is shown to produce…

Optics · Physics 2009-11-07 G. De Ninno , D. Fanelli , C. Bruni , M. E. Couprie

The ability of Gaussian noise to induce ordered states in dynamical systems is here presented in an overview of the main stochastic mechanisms able to generate spatial patterns. These mechanisms involve: (i) a deterministic local dynamics…

Statistical Mechanics · Physics 2012-05-14 Stefania Scarsoglio , Francesco Laio , Paolo D'Odorico , Luca Ridolfi

Recently it has been found that different physical systems driven by identical random noise behave exactly identical after a long time. It is also suggested that this is an outcome of finite precision in numerical experiments. Here we show…

chao-dyn · Physics 2009-10-28 P. M. Gade , Chaitali Basu

To explore resonance phenomena in the nonlinear region, we show by experimental measurements and theoretical analyses that resonance happens in modulation instability (MI) from non-instantaneous nonlinearities in photorefractive crystals.…

Pattern Formation and Solitons · Physics 2018-08-01 Ray-Ching Hong , Chun-Yan Lin , You-Lin Chuang , Chien-Ming Wu , Yonan Su , Jeng Yi Lee , Chien-Chung Jeng , Ming-Feng Shih , Ray-Kuang Lee

Extending the scope of the self-imaging phenomenon, traditionally associated with linear optics, to the domain of magnonics, this study presents the experimental demonstration and numerical analysis of spin-wave (SW) self-imaging in an…

Mesoscale and Nanoscale Physics · Physics 2024-05-10 Uladzislau Makartsou , Mateusz Gołębiewski , Urszula Guzowska , Alexander Stognij , Ryszard Gieniusz , Maciej Krawczyk

An analysis of transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces is presented. The synchronization phenomenon is investigated in the ensemble of particles moving…

chao-dyn · Physics 2015-06-24 B. Kaulakys , F. Ivanauskas , T. Meskauskas

It seems that a stochastic system must be a nonlinear one to observe the phenomenon, noise induced transition. But in the present paper, we have demonstrated that the phenomenon may be observed even in a linear stochastic process where both…

Statistical Mechanics · Physics 2022-01-04 Shrabani Mondal , L. R. Rahul Biswas , Mousumi Biswas , Bidhan Chandra Bag

Isoscalar and isovector monopole oscillations that correspond to giant resonances in spherical nuclei are described in the framework of time-dependent relativistic mean-field theory. Time-dependent and self-consistent calculations that…

Nuclear Theory · Physics 2009-10-30 Dario Vretenar , Peter Ring , Georgios A. Lalazissis , Wolfgang Poeschl

We analyze the effects of noise on the traveling wave dynamics in neural fields. The noise influences the dynamics on two scales: first, it causes fluctuations in the wave profile, and second, it causes a random shift in the phase of the…

Probability · Mathematics 2015-08-06 Eva Lang

We present a chemical reaction network that is unstable under deterministic mass action kinetics, exhibiting finite-time blow-up of trajectories in the interior of the state space, but whose stochastic counterpart is positive recurrent.…

Probability · Mathematics 2025-06-17 Andrea Agazzi , Lucie Laurence

Strongly out-of-equilibrium regimes in magnetic nanostructures exhibit novel properties, linked to the nonlinear nature of magnetization dynamics, which are of great fundamental and practical interest. Here, we demonstrate that field-driven…

In principle, the state space of a chaotic attractor can be partially or wholly reconstructed from interspike intervals recorded from experiment. Under certain conditions, the quality of a partial reconstruction, as measured by the spike…

chao-dyn · Physics 2008-02-03 R. Castro , T. Sauer

We present recent results on noise-induced transitions in a nonlinear oscillator with randomly modulated frequency. The presence of stochastic perturbations drastically alters the dynamical behaviour of the oscillator: noise can wash out a…

Chaotic Dynamics · Physics 2009-11-13 Sebastien Aumaitre , Francois Petrelis , Kirone Mallick

By introducing extrinsic noise as well as intrinsic uncertainty into a network with stochastic events, this paper studies the dynamics of the resulting Markov random network and characterizes a novel phenomenon of intermittent…

Dynamical Systems · Mathematics 2021-05-26 Arno Berger , Hong Qian , Shirou Wang , Yingfei Yi
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