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Fractional-order cuckoo search algorithm for parameter identification of the fractional-order chaotic, chaotic with noise and hyper-chaotic financial systems [PDF]

Engineering Applications of Artificial Intelligence, 2020
Identifying the parameters of the chaos phenomena in the economic-financial systems is a critical issue to control and avoid the financial crises and bogging the market down.
Dalia Yousri, Seyedali Mirjalili
exaly   +2 more sources

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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
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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, Thomas L. Paez, Gautam Vora   +2 more
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Synchronization in chaotic systems

Physical Review Letters, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pecora, Louis, Carroll, Thomas L.
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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

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, Wenfang Zhang, Wei Guo, Jiashu Zhang   +3 more
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FEEDBACK SYNCHRONIZATION OF CHAOTIC SYSTEMS

International Journal of Bifurcation and Chaos, 2003
Feedback coupling through an interaction term proportional to the difference in the value of some behavioral characteristics of two systems is a very common structural setting that leads to synchronization of the behavior of both systems. The degree of synchronization attained depends on the strength of the interaction term and on the mutual ...
Cecilia Sarasola, Francisco Javier Torrealdea, Alicia D'Anjou, Abdelmalik Moujahid, Manuel Graña   +4 more
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DRIVING TRAJECTORIES IN CHAOTIC SYSTEMS

International Journal of Bifurcation and Chaos, 2001
This work presents the main ideas and the fundamental procedures for guiding trajectories on chaotic systems and for stabilizing chaotic orbits, all with the use of small perturbations. We consider an extension of the Ott–Grebogi–Yorke method of controlling chaos and an associated procedure for guiding trajectories on chaotic sets of high dimensional ...
Elbert E. N. Macau, Celso Grebogi
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Characterizing the Response of Chaotic Systems

Physical Review Letters, 2010
We characterize the response of a chaotic system by investigating ensembles of, rather than single, trajectories. Time-periodic stimulations are experimentally and numerically investigated. This approach allows detecting and characterizing a broad class of coherent phenomena that go beyond generalized and phase synchronization.
Giacomelli G., Barland S., Giudici M., Politi A.   +3 more
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