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Existence of a new type of oscillating synchronization that oscillates between three different types of synchronizations (anticipatory, complete and lag synchronizations) is identified in unidirectionally coupled nonlinear time-delay…

Chaotic Dynamics · Physics 2007-05-23 D. V. Senthilkumar , M. Lakshmanan

The transfer matrix method remains a simple yet powerful tool for modeling acoustic systems, particularly in a closed waveguide geometry. Here we present a generalisation of this method based on the theory of mode matching, that…

Applied Physics · Physics 2025-04-07 D. Cidlinsky , G. J. Chaplain , S. A. R. Horsley

For controlling periodic orbits with delayed feedback methods the periodicity has to be known a priori. We propose a simple scheme, how to detect the period of orbits from properties of the control signal, at least if a periodic but…

We investigate synchronization in the presence of delay time modulation for application to communication. We have observed that the robust synchronization is established by a common delay signal and its threshold is presented using Lyapunov…

Chaotic Dynamics · Physics 2009-11-10 Won-Ho Kye , Muhan Choi , Myung-Woon Kim , Soo-Young Lee , Sunghwan Rim , Chil-Min Kim , Young-Jai Park

This paper presents new results concerning the observer design for wide classes of nonlinear systems with both sampled and delayed measurements. By using a small gain approach we provide sufficient conditions, which involve both the delay…

Optimization and Control · Mathematics 2012-07-05 Tarek Ahmed-Ali , Iasson Karafyllis , Francoise Lamnabhi-Lagarrigue

We study the optical transmission of a waveguide that is side-coupled to a high-$Q$ circular microresonator. The coupling is critical if the intrinsic resonator losses equate the coupling losses to the waveguide. When this happens, the…

Optics · Physics 2017-10-03 Nirmalendu Acharyya , Gregory Kozyreff

We study the phase synchronization between collective rhythms of fully locked oscillator groups. For weakly interacting groups of two oscillators with global sinusoidal coupling, we analytically derive the collective phase coupling…

Adaptation and Self-Organizing Systems · Physics 2014-05-01 Yoji Kawamura

This paper presents a novel First Order Plus Fractional Diffusive Delay (FOPFDD) model, capable of modeling delay dominant systems with high accuracy. The novelty of the FOPFDD is the Fractional Diffusive Delay (FDD) term, an exponential…

Systems and Control · Electrical Eng. & Systems 2021-11-01 Jasper Juchem , Amélie Chevalier , Kevin Dekemele , Mia Loccufier

We report a new experimental approach using an optoelectronic feedback loop to investigate the dynamics of oscillators coupled on large complex networks with arbitrary topology. Our implementation is based on a single optoelectronic…

Chaotic Dynamics · Physics 2018-01-17 Joseph D. Hart , Don C. Schmadel , Thomas E. Murphy , Rajarshi Roy

Spectroscopy has attracted much attention in molecular detection, biomolecular identification, and chemical analysis for providing accurate measurement. However, it is almost unable to distinguish different sources with overlapped…

Instrumentation and Detectors · Physics 2020-05-12 Ting Qing , Shupeng Li , Yijie Fang , Xiaohu Tang , Lihan Wang , Meihui Cao , Xinyu Li , Shilong Pan

We investigate feedback control of linear quantum systems subject to feedback-loop time delays. In particular, we examine the relation between the potentially achievable control performance and the time delays, and provide theoretical…

Quantum Physics · Physics 2013-05-29 Kazunori Nishio , Kenji Kashima , Jun-ichi Imura

A new optimization method for the design of nearly linear-phase IIR digital filters that satisfy prescribed specifications is proposed. The group-delay deviation is minimized under the constraint that the passband ripple and stopband…

Systems and Control · Computer Science 2016-11-18 R. C. Nongpiur , D. J. Shpak , A. Antoniou

When a chaotic system is to be stabilized to a unstable orbit, delayed measurement of the system limits the applicability of chaos control techniqes. These limitations are analyzed and control schemes as linear predictive logging control…

Chaotic Dynamics · Physics 2007-12-28 Jens Christian Claussen

An optical buffer having a large delay-bandwidth-product -- a critical component for future all-optical communications networks -- remains elusive. Central to its realization is a controllable inline optical delay line, previously…

Delay-coordinate maps have been widely used recently to study nonlinear dynamical systems, where there is only access to the time series of one of their variables. Here, we show how the partial control method can be applied in this kind of…

Chaotic Dynamics · Physics 2017-06-16 Rubén Capeáns , Juan Sabuco , Miguel A. F. Sanjuán

Huygens' metawaveguides represent a transformative concept in photonic device engineering, enabling unprecedented control over light propagation. This study presents, for the first time, integrated Huygens'-based microring resonators and…

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

This paper considers the design of observational longitudinal studies with a continuous response and a binary time-invariant exposure, where, typically, the exposure is unbalanced, the mean response in the two groups differs at baseline and…

Methodology · Statistics 2022-09-27 Xavier Basagana , Donna Spiegelman

We investigate theoretically the relative time delay of photoelectrons originating from different atomic subshells of noble gases. This quantity was measured via attosecond streaking and studied theoretically by Schultze et al. [Science…

Atomic Physics · Physics 2015-06-22 Jonas Wätzel , Andrey Moskalenko , Yaroslav Pavlyukh , Jamal Berakdar

A general model is presented for coupling of high-$Q$ whispering-gallery modes in optical microsphere resonators with coupler devices possessing discrete and continuous spectrum of propagating modes. By contrast to conventional high-Q…

Optics · Physics 2009-10-31 Michael L. Gorodetsky , Vladimir S. Ilchenko