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We study the control of transport properties in a deterministic inertia ratchet system via the extended delay feedback method. A chaotic current of a deterministic inertia ratchet system is controlled to a regular current by stabilizing…

Chaotic Dynamics · Physics 2007-05-23 Woo-Sik Son , Jung-Wan Ryu , Dong-Uk Hwang , Soo-Young Lee , Young-Jai Park , Chil-Min Kim

In this article we consider the possibility of controlling the dynamics of nonlinear discrete systems. A new method of control is by mixing states of the system (or the functions of these states) calculated on previous steps. This approach…

Chaotic Dynamics · Physics 2016-08-23 D. Dmitrishin , I. M. Skrinnik , A. Stokolos

Synchronization problems of continuous and discrete singularly perturbed systems are studied in this paper with singular perturbations and time scales (SPaTS) technique. The dynamics of leader and followers are decomposed into pure-slow and…

Systems and Control · Computer Science 2018-06-25 Neng Wan , Desineni S. Naidu

The efficient detection of chaotic behavior in orbits of a complex dynamical system is an active domain of research. Several indicators have been proposed in the past, and new ones have recently been developed in view of improving the…

Dynamical Systems · Mathematics 2023-07-05 A. Bazzani , M. Giovannozzi , C. E. Montanari , G. Turchetti

This paper investigates the problem of distributed nonblocking supervisory control for timed discrete-event systems (DESs). The distributed supervisors communicate with each other over networks subject to nondeterministic communication…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Yunfeng Hou , Qingdu Li

We propose a new communication scheme that uses time-delayed chaotic systems with delay time modulation. In this method, the transmitter encodes a message as an additional modulation of the delay timeand then the receiver decodes the…

Chaotic Dynamics · Physics 2007-05-23 Won-Ho Kye , Muhan Choi , Chil-Min Kim , Young-Jai Park

We demonstrate that standard delay systems with a linear instantaneous and a delayed nonlinear term show weak chaos, asymptotically subdiffusive behavior, and weak ergodicity breaking if the nonlinearity is chosen from a specific class of…

Chaotic Dynamics · Physics 2024-07-15 Tony Albers , Lukas Hille , David Müller-Bender , Günter Radons

We experimentally present a random phase feedback based on quantum noise to generate a chaotic laser with Gaussian invariant distribution. The quantum noise from vacuum fluctuations is acquired by balanced homodyne detection and injected…

Optics · Physics 2023-06-13 Yanqiang Guo , Haifeng Li , Yingqi Wang , Xiangyu Meng , Tong Zhao , Xiaomin Guo

The chaos control problem of continuous time Rabinovich chaotic system is addressed. An instantaneous control input has been designed using predictive control principle to guarantee the convergence of the chaotic trajectory towards an…

Dynamical Systems · Mathematics 2017-02-22 Ayub Khan , Dinesh Khattar , Nitish Prajapati

We present an event-triggered control strategy for stabilizing a scalar, continuous-time, time-invariant, linear system over a digital communication channel having bounded delay, and in the presence of bounded system disturbance. We propose…

Optimization and Control · Mathematics 2018-01-29 Mohammad Javad Khojasteh , Mojtaba Hedayatpour , Jorge Cortes , Massimo Franceschetti

We consider the problem of scheduling transmissions over low-latency wireless communication links to control various control systems. Low-latency requirements are critical in developing wireless technology for industrial control and Tactile…

Signal Processing · Electrical Eng. & Systems 2019-10-31 Mark Eisen , Mohammad M. Rashid , Dave Cavalcanti , Alejandro Ribeiro

Stable chaos is a generalization of the chaotic behaviour exhibited by cellular automata to continuous-variable systems and it owes its name to an underlying irregular and yet linearly stable dynamics. In this review we discuss analogies…

Chaotic Dynamics · Physics 2010-10-19 Antonio Politi , Alessandro Torcini

This work presents the solution to a class of decentralized linear quadratic state-feedback control problems, in which the plant and controller must satisfy the same combination of delay and sparsity constraints. Using a novel decomposition…

Systems and Control · Computer Science 2014-11-25 Andrew Lamperski , Laurent Lessard

This paper presents a novel approach to sustain transient chaos in the Lorenz system through the estimation of safety functions using a transformer-based model. Unlike classical methods that rely on iterative computations, the proposed…

Chaotic Dynamics · Physics 2025-04-01 David Valle , Rubén Capeans , Alexandre Wagemakers , Miguel A. F. Sanjuán

We present the first report on inverse chaos synchronization where a driven modulated multiple time-delay chaotic system synchronizes to the inverse state of the driver system. Numerical simulations fully support the analytical approach.

Chaotic Dynamics · Physics 2010-07-06 E. M. Shahverdiev

Chaos control in some of the one- and two-dimensional traffic flow dynamical models in the mean field theory is studied.One dimensional model is investigated taking into account the effect of random delay. Two dimensional model takes into…

chao-dyn · Physics 2019-08-17 Elman Mohammed Shahverdiev , Shin-ichi Tadaki

In order to analyze the effect of chaos or order on the rate of decoherence in a subsystem we aim to distinguish effects of the two types of dynamics from those depending on the choice of the wave packet. To isolate the former we introduce…

Chaotic Dynamics · Physics 2007-05-23 T. Gorin , T. H. Seligman

Semiconductor lasers subject to optical feedback can behave chaotically, which can be used as a source of randomness. The optical feedback, provided by mirrors at a distance, determines the characteristics of the chaos and thus the quality…

Optics · Physics 2024-09-30 Robbe de Mey , Spencer W. Jolly , Martin Virte

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

The quantum dynamics of quasiperiodic systems display a rich variety of physical behaviors due to the combination of rotational symmetry that is mathematically forbidden in periodic systems, and long-range order despite the lack of…

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