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This paper describes how to determine the parameter values of the chaotic Lorenz system from one of its variables waveform. The geometrical properties of the system are used firstly to reduce the parameter search space. Then, a…

Chaotic Dynamics · Physics 2007-05-23 A. Orue , G. Alvarez , G. Pastor , M. Romera , F. Montoya , Shujun Li

Information leakage can have dramatic consequences on systems security. Among harmful information leaks, the timing information leakage is the ability for an attacker to deduce internal information depending on the system execution time. We…

Cryptography and Security · Computer Science 2020-10-20 Étienne André , Jun Sun

We introduce the map representation of a time-delayed system in the presence of delay time modulation. Based on this representation, we find the method by which to analyze the stability of that kind of a system. We apply this method to a…

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

We consider a synthesis problem for a remotely controlled linear system where the communication is constrained because of the shared and unreliable nature of the channel. Modeling the constraints by a periodic transmission scheme and random…

Optimization and Control · Mathematics 2008-06-24 Hideaki Ishii

We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to…

In this paper, a multi user Multi-Carrier Differential Chaos Shift Keying (MC-DCSK) modulation is presented. The system endeavors to provide a good trade-off between robustness, energy efficiency and high data rate, while still being…

Other Computer Science · Computer Science 2016-11-18 Georges Kaddoum , Francois-Dominique Richardson , Sarra Adouni , Francois Gagnon , Claude Thibeault

In this paper we continue to develop our approach to the chaoticity properties of the quantum Hamiltonian systems. Our earlier suggested chaoticity criterion characterizes the initial symmetry breaking and the destruction of the…

Quantum Physics · Physics 2007-05-23 V. E. Bunakov , I. B. Ivanov , R. B. Panin

We present a key-exchange protocol that comprises two parties with chaotic dynamics that are mutually coupled and undergo a synchronization process, at the end of which they can use their identical dynamical state as an encryption key. The…

Other Condensed Matter · Physics 2009-11-10 Einat Klein , Rachel Mislovaty , Ido Kanter , Wolfgang Kinzel

In this paper, synchronization of fractional order Coullet system with precise and also unknown parameters are studied. The proposed method which is based on the adaptive backstepping, has been developed to synchronize two chaotic systems…

Chaotic Dynamics · Physics 2012-06-12 T. M. Shahiri , A. Ranjbar , R. Ghaderi , M. Karami , S. H. Hosseinnia

Control barrier functions guarantee safety but typically require accurate system models. Parametric uncertainty invalidates these guarantees. Existing robust methods maintain safety via worst-case bounds, limiting performance, while modular…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Mohammadreza Kamaldar

This paper considers the problem of identifying the parameters of an uncertain linear system by means of feedback control. The problem is approached by considering time-varying controllers. It is shown that even when the uncertainty set is…

Systems and Control · Computer Science 2015-04-17 G. Battistelli , P. Tesi

A new Multi-Carrier Differential Chaos Shift Keying (MC-DCSK) modulation is presented in this paper. The system endeavors to provide a good trade-off between robustness, energy efficiency and high data rate, while still being simple…

Other Computer Science · Computer Science 2016-11-17 Georges Kaddoum , Francois-Dominique Richardson , Francois Gagnon

The paper deals with the theoretical analysis of a logistic system composed of at least two elements with distributed parameters. It has been shown that such a system may generate specific oscillations in spite of the fact that the…

Chaotic Dynamics · Physics 2026-02-10 Marek Berezowski , Artur Grabski

The paper proposes an intermittent communication mechanism for the tracking consensus of high-order nonlinear multi-agent systems (MASs) surrounded by random disturbances. Each collaborating agent is described by a class of high-order…

Systems and Control · Electrical Eng. & Systems 2024-01-12 Ali Azarbahram

Communication is an essential element of modern software, yet programming and analysing communicating systems are difficult tasks. A reason for this difficulty is the lack of compositional mechanisms that preserve relevant communication…

Logic in Computer Science · Computer Science 2022-08-10 Franco Barbanera , Ivan Lanese , Emilio Tuosto

A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during…

Chaotic Dynamics · Physics 2015-07-02 A. V. Makarenko

We consider the adaptive control problem for discrete-time, nonlinear stochastic systems with linearly parameterised uncertainty. Assuming access to a parameterised family of controllers that can stabilise the system in a bounded set within…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Seth Siriya , Jingge Zhu , Dragan Nešić , Ye Pu

Changes in parameters of a physical device can eventually lead to catastrophic failure. This paper discusses a parameter estimation method based on synchronization between a model and time series data. In particular, we examine the…

chao-dyn · Physics 2007-05-23 Justin Goodwin , Reggie Brown , Lutz Junge

In this paper, a novel scheme for synchronizing four drive and four response systems is proposed by the authors. The idea of multi switching and dual combination synchronization is extended to dual combination-combination multi switching…

Systems and Control · Computer Science 2017-08-02 Ayub Khan , Dinesh Khattar , Nitish Prajapati

This paper presents a novel approach for the safe control design of systems with parametric uncertainties in both drift terms and control-input matrices. The method combines control barrier functions and adaptive laws to generate a safe…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Yujie Wang , Xiangru Xu