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Synchronization of fractional-order chaotic systems is a hot topic in the field of nonlinear study. The co-coupled synchronization between two fractional-order chaotic systems with different initial conditions is investigated in this paper.…

Chaotic Dynamics · Physics 2009-09-15 Kehui Sun , Jian Ren , Shuisheng Qiu

Two mutually coupled chaotic diode lasers exhibit stable isochronal synchronization in the presence of self feedback. When the mutual communication between the lasers is discontinued by a shutter and the two uncoupled lasers are subject to…

This paper is devoted to the problem of synchronization between fractional-order chaotic systems with Gaussian fluctuation by the method of fractional-order sliding mode control. A fractional integral (FI) sliding surface is proposed for…

Chaotic Dynamics · Physics 2013-09-05 Yong Xu , Hua Wang

We demonstrate feedback and harmonic locking of chip-scale slot-type optomechanical oscillators to external low-noise reference clocks, with suppressed timing jitter by three orders of magnitude. The feedback and compensation techniques…

"Synchronization of two dynamical systems" is the term used to describe the phenomenon when two or more systems gradually change their states or behaviors to become similar or identical. This can happen in a lot of fields, such as physics,…

Optimization and Control · Mathematics 2026-03-24 Vivek Mishra , S. K. Agrawal

Complete chaotic synchronization of end lasers has been observed in a line of mutually coupled, time-delayed system of three lasers, with no direct communication between the end lasers. The present paper uses ideas from generalized…

Chaotic Dynamics · Physics 2009-11-11 Alexandra S. Landsman , Ira B. Schwartz

Two types of phase synchronization (accordingly, two scenarios of breaking phase synchronization) between coupled stochastic oscillators are shown to exist depending on the discrepancy between the control parameters of interacting…

Chaotic Dynamics · Physics 2007-05-23 A. A. Koronovskii , M. K. Kurovskaya , O. I. Moskalenko , A. E. Hramov

In a chain of mutually coupled oscillators, the coupling threshold for synchronization between the outermost identical oscillators decreases when a type of impurity (in terms of parameter mismatch) is introduced in the inner oscillator(s).…

Chaotic Dynamics · Physics 2012-07-12 Ranjib Banerjee , Dibakar Ghosh , E. Padmanaban , R. Ramaswamy , L. M. Pecora , Syamal K. Dana

Cluster synchronization is of paramount importance for the normal functioning of numerous technological and natural systems. Deviations from normal cluster synchronization patterns are closely associated with various malfunctions, such as…

Optimization and Control · Mathematics 2023-08-15 Yuzhen Qin , Alberto Maria Nobili , Danielle S. Bassett , Fabio Pasqualetti

We study the implementation of a weak multiple delayed feedback for controlling coherence of chaotic oscillations. The specific system we treat is the Lorenz system with classical set of parameters. There are two reasons behind the interest…

Statistical Mechanics · Physics 2009-12-03 Denis S. Goldobin , Elizaveta V. Shklyaeva

Cluster synchronization is of great importance for the normal functioning of numerous technological and natural systems. Deviations from normal cluster synchronization patterns are closely associated with various malfunctions, such as…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Yuzhen Qin , Alberto Maria Nobili , Danielle S. Bassett , Fabio Pasqualetti

We consider a new fractional order chaotic system displaying an interesting behavior. A necessary condition for the system to remain chaotic is derived. It is found that chaos exists in the system with order less than three. Using the…

Optimization and Control · Mathematics 2013-10-24 Abolhassan Razminia , Delfim F. M. Torres

We investigate the synchronization of oscillators based on anharmonic nanoelectromechanical resonators. Our experimental implementation allows unprecedented observation and control of parameters governing the dynamics of synchronization. We…

Mesoscale and Nanoscale Physics · Physics 2014-01-15 M. H. Matheny , M. Grau , L. G. Villanueva , R. B. Karabalin , M. C. Cross , M. L. Roukes

This paper studies the problem of stabilizing a continuous-time switched linear system by quantized output feedback. We assume that the quantized outputs and the switching signal are available to the controller at all time. We develop an…

Systems and Control · Computer Science 2014-03-20 Masashi Wakaiki , Yutaka Yamamoto

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

Systems and Control · Electrical Eng. & Systems 2021-01-07 Lei Wang , Christopher M. Kellett

This paper focuses on the problem of constructing time-varying feedback laws that asymptotically stabilize a given part of the state variables for nonlinear control-affine systems. It is assumed that the class of systems under consideration…

Optimization and Control · Mathematics 2021-05-21 Victoria Grushkovskaya , Alexander Zuyev

We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by observing the oscillators at special times, and analyzing whether…

Statistical Mechanics · Physics 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

In this paper a proposal is made of an adaptive coupling function for achieving synchronization between two lasers subject to optical feedback. Such a control scheme requires knowledge of the systems' parameters. For the first time we…

Chaotic Dynamics · Physics 2007-05-23 E. M. Shahverdiev , R. A. Nuriev , R. H. Hashimov , K. A. Shore

In this paper, an adaptive fractional controller has been designed to control chaotic systems. In fact, this controller is a fractional PID controller, which the coefficients will be tuned according to a proper adaptation mechanism. The…

Chaotic Dynamics · Physics 2012-06-13 S. H. Hosseinnia , R. Ghaderi , A. Ranjbar N. , J. Sadati , S. Momani

Recently, a novel mixed-synchronization phenomenon is observed in counter-rotating nonlinear coupled oscillators. In mixed-synchronization state: some variables are synchronized in-phase, while others are out-of-phase. We have…

Chaotic Dynamics · Physics 2011-05-31 Amit Sharma , Manish Dev Shrimali
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