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We propose and experimentally demonstrate novel types of composite sequences of half-wave and quarter-wave polarization retarders, either permitting operation at ultra-broad spectral bandwidth or narrow bandwidth. The retarders are composed…

Topologies of two, three and four time-delay-coupled chaotic semiconductor lasers are experimentally and theoretically found to show new types of synchronization. Shifted zero-lag synchronization is observed for two lasers separated by long…

Chaotic Dynamics · Physics 2011-11-29 Y. Aviad , I. Reidler , M. Zigzag , M. Rosenbluh , I. Kanter

Theoretical studies of synchronization are usually based on models of coupled phase oscillators which, when isolated, have constant angular frequency. Stochastic discrete versions of these uniform oscillators have also appeared in the…

Data Analysis, Statistics and Probability · Physics 2012-01-30 Vladimir R. V. Assis , Mauro Copelli

We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean…

Chaotic Dynamics · Physics 2016-07-04 Lucas Wetzel , Luis G. Morelli , Andrew C. Oates , Frank Julicher , Saul Ares

We consider a general model for a network of oscillators with time delayed, circulant coupling. We use the theory of weakly coupled oscillators to reduce the system of delay differential equations to a phase model where the time delay…

Dynamical Systems · Mathematics 2016-07-21 Sue Ann Campbell , Zhen Wang

A compact reflection-type phaser composed of quarter-wavelength transmission line resonators interconnected by alternating K- and J-inverters is proposed. A design method is also presented. To validate this method, a 4th-order example is…

Classical Physics · Physics 2014-11-10 Weiwei Liao , Qingfeng Zhang , Yifan Chen , Christophe Caloz

A planar DC-blocker suitable for differential mode signaling applications is designed and fabricated. The theory of this component is explained in a new form which utilizes the wave scattering transfer matrix. The proposed interpretation of…

Signal Processing · Electrical Eng. & Systems 2018-08-10 Mostafa Abdolhamidi , Mahmoud Mohammad-Taheri

A high Radio Analog Signal Processing (R-ASP) resolution transmission-type (TT) phaser based on reflection-type (RT) phaser units is introduced, theoretically studied and experimentally demonstrated. It is first shown that RT phasers…

Optics · Physics 2014-07-16 Lianfeng Zou , Christophe Caloz

We study synchronization in populations of phase-coupled stochastic three-state oscillators characterized by a distribution of transition rates. We present results on an exactly solvable dimer as well as a systematic characterization of…

Statistical Mechanics · Physics 2015-06-25 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

An ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses shows a range of non-trivial behavior, from synchronization, desynchronization, to clustering. The group behavior that arises in the ensemble can be…

Adaptation and Self-Organizing Systems · Physics 2009-03-12 Kensuke Arai , Hiroya Nakao

In this paper, we analyze the coding delay and the average coding delay of random linear network codes (a.k.a. dense codes) and chunked codes (CC), which are an attractive alternative to dense codes due to their lower complexity, over line…

Information Theory · Computer Science 2012-07-26 Anoosheh Heidarzadeh , Amir H. Banihashemi

Like the inertia of a physical body describes its tendency to resist changes of its state of motion, inertia of an oscillator describes its tendency to resist changes of its frequency. Here we show that finite inertia of individual…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 David J. Jörg

Following a short report of our preliminary results [Phys. Rev. E 79, 055203(R) (2009)], we present a more detailed study of the effects of coupling delay in diffusively coupled phase oscillator populations. We find that coupling delay…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Jane H. Sheeba , V. K. Chandrasekar , M. Lakshmanan

Circuits provide ideal platforms of topological phases and matter, yet the study of topological circuits in the strongly nonlinear regime, has been lacking. We propose and experimentally demonstrate strongly nonlinear topological phases and…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 Jijie Tang , Fangyuan Ma , Feng Li , Honglian Guo , Di Zhou

In this work a new generalization of the theory of coupled modes for non-periodic structured waveguide is presented. Based on a set of eigen waves of a homogeneous periodic waveguide, a new basis of vector functions is introduced that takes…

Accelerator Physics · Physics 2023-09-13 M. I. Ayzatsky

The effect of time-delayed coupling on the collective behavior of a population of globally coupled complex Ginzburg-Landau (GCCGL) oscillators is investigated. A detailed numerical study is carried out to study the impact of time delay on…

Adaptation and Self-Organizing Systems · Physics 2019-05-22 Bhumika Thakur , Abhijit Sen

We study collective behavior of locally-coupled limit-cycle oscillators with scattered intrinsic frequencies on $d$-dimensional lattices. A linear analysis shows that the system should be always desynchronized up to $d=4$. On the other…

Statistical Mechanics · Physics 2009-11-10 H. Hong , Hyunggyu Park , M. Y. Choi

We explore a general framework how to treat coupled-channel systems in the presence of overlapping left and right-hand cuts as well as anomalous thresholds. Such systems are studied in terms of a generalized potential, where we exploit the…

High Energy Physics - Phenomenology · Physics 2023-02-21 M. F. M. Lutz , C. L. Korpa

The phenomenon of slow switching in populations of globally coupled oscillators is discussed. This characteristic collective dynamics, which was first discovered in a particular class of the phase oscillator model, is a result of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Hiroshi Kori , Yoshiki Kuramoto

The universal mechanism resulting in the generalized synchronization regime arising in the chaotic oscillators with the dissipative coupling has been described. The reasons of the generalized synchronization occurrence may be clarified by…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii