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Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of generic Hamiltonian systems. Meyer's classification of normal forms provides a powerful tool to understand the structure of phase space…

chao-dyn · Physics 2009-10-31 P. Leboeuf , A. Mouchet

Studies of superdirective dielectric lens antennas are reported emphasizing unidirectional properties. The developed antennas are based on the higher-order transverse electric and magnetic modes present in a multilayered sphere realized…

Optics · Physics 2025-05-13 Asbjørn T. Birch , Samel Arslanagić , Richard W. Ziolkowski

We theoretically and numerically investigate intermodal four-wave-mixing in km-long fibers, where random birefringence fluctuations are present along the fiber length. We identify several distinct regimes that depend on the relative…

In modern particle physics experiments wavelength-shifting and scintillating fibres based on plastic polymers are used for tracking and calorimetry. In this review the role of photon trapping efficiencies, transmission functions and signal…

Nuclear Experiment · Physics 2007-05-23 C. P. Achenbach

Environmental perturbations and noise are source of mode mixing and interferences between the propagating modes of a complex multi-mode fiber. Typically, they are characterized by their correlation (paraxial) length, and their spectral…

Disordered Systems and Neural Networks · Physics 2022-05-10 Yaxin Li , Doron Cohen , Tsampikos Kottos

A periodic surface is one that is invariant by a 2D lattice of translations. Deformation modes that stretch the lattice without stretching the surface are effective membrane modes. Deformation modes that bend the lattice without stretching…

Differential Geometry · Mathematics 2024-08-29 Hussein Nassar

Optical properties of graphene are explored by using the generalized tight-binding model. The main features of spectral structures, the form, frequency, number and intensity, are greatly enriched by the complex relationship among the…

Computational Physics · Physics 2016-07-20 Chiun-Yan Lin , Thi-Nga Do , Yao-Kung Huang , Ming-Fa Lin

Exploring the use of single-mode fibers (SMFs) in high precision Doppler spectrometers has become increasingly attractive since the advent of diffraction-limited adaptive optics systems on large-aperture telescopes. Spectrometers fed with…

Instrumentation and Methods for Astrophysics · Physics 2015-12-02 Samuel Halverson , Arpita Roy , Suvrath Mahadevan , Christian Schwab

We investigate the spatio-temporal dynamics of a ring cavity filled with a non-instantaneous Kerr medium and driven by a coherent injected beam. We show the existence of a stable mixed-mode solution that can be either extended or localized…

Pattern Formation and Solitons · Physics 2017-04-05 M. Ouali , S. Coulibaly , M. Taki , M. Tlidi

It is shown that the mean-field description of a boson-fermion mixture with a dominating fermionic component, loaded in a one-dimensional optical lattice, is reduced to the nonlinear Schr\"{o}dinger equation with a periodic potential and…

Other Condensed Matter · Physics 2007-05-23 Yu. V. Bludov , V. V. Konotop

We present a design framework to induce stable oscillations through mixed feedback control. We provide conditions on the feedback gain and on the balance between positive and negative feedback contributions to guarantee robust oscillations.…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Weiming Che , Fulvio Forni

The amplitude equation of Gierer-Mainhardt model has been actually derived near the boundary abuot which Turing and Hopf modes exist. In a parameter region where Hopf-Turing mixed mode solution is stable, a chaotic state that generally…

Pattern Formation and Solitons · Physics 2007-05-23 A. Bhattacharyay

Nonequilibrium dynamics of biomembranes with active inclusions is considered. The inclusions represent protein molecules which perform cyclic internal conformational motions driven by the energy brought with ATP ligands. As protein…

Soft Condensed Matter · Physics 2015-05-13 Hsuan-Yi Chen , Alexander S. Mikhailov

In four-dimensional symplectic maps complex instability of periodic orbits is possible, which cannot occur in the two-dimensional case. We investigate the transition from stable to complex unstable dynamics of a fixed point under parameter…

Chaotic Dynamics · Physics 2021-04-21 Jonas Stöber , Arnd Bäcker

This is the first study on the mode localization phenomenon in microbeams due to surface roughness. A new model for microbeams with rough surfaces is developed. The natural frequencies and mode shapes of cantilever, simple supported, and…

Applied Physics · Physics 2018-03-08 Mohamed Shaat

Monitoring polarization dynamics in multimode fibers is critical for a range of applications, spanning from optical communication to sensing. Although the modal behavior of multimode fibers is well understood through interferometry and…

Optics · Physics 2025-03-07 Harikumar K. Chandrasekharan , Ross Donaldson

Optical resonators are structures that utilize wave interference and feedback to confine light in all three dimensions. Depending on the feedback mechanism, resonators can support either standing- or traveling-wave modes. Over the years,…

Optics · Physics 2022-08-30 Qi Zhong , Haoqi Zhao , Liang Feng , Kurt Busch , Sahin K. Ozdemir , Ramy El-Ganainy

The phenomenom of emerging regular spectral features from random interactions is addressed in the context of the vibron model. A mean-field analysis links different regions of the parameter space with definite geometric shapes. The results…

Nuclear Theory · Physics 2009-11-07 R. Bijker , A. Frank

We have investigated quasi-eigenmodes of a quadrupolar deformed microcavity by extensive numerical calculations. The spectral structure is found to be quite regular, which can be explained on the basis of the fact that the microcavity is an…

Recurrence in the phase space of complex systems is a well-studied phenomenon, which has provided deep insights into the nonlinear dynamics of such systems. For dissipative systems, characteristics based on recurrence plots have recently…

Chaotic Dynamics · Physics 2016-03-22 Yong Zou , Reik V. Donner , Marco Thiel , Jürgen Kurths