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Adaptive terminal sliding mode control scheme for synchronization of fractional-order uncertain chaotic systems.

ISA transactions, 2020
The main goal in this article is synchronization of fractional-order uncertain chaotic systems in the finite time. For this aim, a terminal sliding mode controller with fractional sliding surface is employed to synchronize the states of two different ...
A. Modiri, Saleh Mobayen
semanticscholar   +1 more source

Quantization of chaotic systems

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1992
Starting from the semiclassical dynamical zeta function for chaotic Hamiltonian systems we use a combination of the cycle expansion method and a functional equation to obtain highly excited semiclassical eigenvalues. The power of this method is demonstrated for the anisotropic Kepler problem, a strongly chaotic system with good symbolic dynamics.
Tanner, Gregor, Wintgen, Dieter
openaire   +2 more sources

Chaotic Evolution Algorithm with Multiple Chaotic Systems

2020 59th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE), 2020
We introduce and discuss the methodology of the chaotic evolution (CE) algorithms, which is supported by a chaotic system. Because properties of the chaotic systems are the essential factors to influence the performance of the CE algorithms, we design and analyse several CE algorithms using different chaotic systems: logistic map, tent map, Gauss map ...
Tran Thi Thoa, Yan Pei 0001
openaire   +2 more sources

Observer-Based Synchronization of Chaotic Systems Satisfying Incremental Quadratic Constraints and Its Application in Secure Communication

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2020
This paper presents a secure chaotic communication scheme using observer-based synchronization of chaotic systems. A class of chaotic systems satisfying incremental quadratic constraints are considered as the transmitter.
Younan Zhao   +3 more
semanticscholar   +1 more source

Complex and Chaotic Systems

Proceedings of the Thirty-First Hawaii International Conference on System Sciences, 1998
Suleiman K. Kassicieh Department of Finance, International and Technology Management, University ofNew Mexico, Albuquerque, NM87131-1221 e-mail: kasicieh@unm.edu. Thomas L. Paez Experimental Structural Dynamics Department Sandia National Laboratories, Albuquerque, NM 87185-0577 e-mail: tlpaez@sandia.gov. Gautam Vera Department of Finance, International
Suleiman K. Kassicieh   +2 more
openaire   +2 more sources

Transinformation of Chaotic Systems

Physica Scripta, 1986
Summary: Deterministic chaotic systems respond sensitively to variations of the initial conditions. Thus, if one has no exact knowledge of the initial state of the system, limits are set to the possibility of state prediction. The transinformation \(I(t)\) is a measure of the state predictability: \(I(t)\) is the information on a future state if an ...
Pompe, B., Leven, R. W.
openaire   +1 more source

Sampled-data stabilization of chaotic systems based on a T-S fuzzy model

Information Sciences, 2019
This paper investigates the problem of stability and stabilization of a class of chaotic system through the use of sampled-data control. By employing a Takagi–Sugeno (T-S) fuzzy model to describe the chaotic system and using a time-dependent Lyapunov ...
Hong-Bing Zeng, Kok Lay Teo, Yong He
exaly   +2 more sources

Secure chaotic system with application to chaotic ciphers

Information Sciences, 2013
Chaotic cryptography has been widely investigated in the past few years. However, the undesirable dynamical properties of the underlying chaotic systems degrade the security of chaotic ciphers and thereby discourage their applications. To address this issue, this paper first presents discrimination criteria for secure chaotic systems (SCSs) whose ...
Xiaomin Wang   +3 more
openaire   +1 more source

New Methods of Fuzzy Sampled-Data Control for Stabilization of Chaotic Systems

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2018
This paper focuses on developing new design methods of the sampled-data controller for chaotic systems which are represented as Takagi–Sugeno (T–S) fuzzy models.
Tae H Lee, Ju H Park
exaly   +2 more sources

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