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  1. Book ; Online: Chaotic Systems

    Tlelo-Cuautle, Esteban

    2011  

    Keywords Applied mathematics ; Mathematical modelling
    Size 1 electronic resource (324 pages)
    Publisher IntechOpen
    Document type Book ; Online
    Note English ; Open Access
    HBZ-ID HT021046707
    ISBN 9789535155089 ; 9535155083
    Database ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture

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  2. Book ; Online: Advances in Analog Circuits

    Tlelo-Cuautle, Esteban

    2011  

    Keywords Circuits & components
    Size 1 electronic resource (382 pages)
    Publisher IntechOpen
    Document type Book ; Online
    Note English ; Open Access
    HBZ-ID HT021045918
    ISBN 9789535159827 ; 9535159828
    Database ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture

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  3. Article ; Online: Fuzzy Synchronization of Chaotic Systems with Hidden Attractors.

    Zaqueros-Martinez, Jessica / Rodriguez-Gomez, Gustavo / Tlelo-Cuautle, Esteban / Orihuela-Espina, Felipe

    Entropy (Basel, Switzerland)

    2023  Volume 25, Issue 3

    Abstract: Chaotic systems are hard to synchronize, and no general solution exists. The presence of hidden attractors makes finding a solution particularly elusive. Successful synchronization critically depends on the control strategy, which must be carefully ... ...

    Abstract Chaotic systems are hard to synchronize, and no general solution exists. The presence of hidden attractors makes finding a solution particularly elusive. Successful synchronization critically depends on the control strategy, which must be carefully chosen considering system features such as the presence of hidden attractors. We studied the feasibility of fuzzy control for synchronizing chaotic systems with hidden attractors and employed a special numerical integration method that takes advantage of the oscillatory characteristic of chaotic systems. We hypothesized that fuzzy synchronization and the chosen numerical integration method can successfully deal with this case of synchronization. We tested two synchronization schemes: complete synchronization, which leverages linearization, and projective synchronization, capitalizing on parallel distributed compensation (PDC). We applied the proposal to a set of known chaotic systems of integer order with hidden attractors. Our results indicated that fuzzy control strategies combined with the special numerical integration method are effective tools to synchronize chaotic systems with hidden attractors. In addition, for projective synchronization, we propose a new strategy to optimize error convergence. Furthermore, we tested and compared different Takagi-Sugeno (T-S) fuzzy models obtained by tensor product (TP) model transformation. We found an effect of the fuzzy model of the chaotic system on the synchronization performance.
    Language English
    Publishing date 2023-03-13
    Publishing country Switzerland
    Document type Journal Article
    ZDB-ID 2014734-X
    ISSN 1099-4300 ; 1099-4300
    ISSN (online) 1099-4300
    ISSN 1099-4300
    DOI 10.3390/e25030495
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  4. Book ; Online: VLSI Design

    Tlelo-Cuautle, Esteban / Tan, Sheldon X.-D.

    2012  

    Keywords Circuits & components
    Size 1 electronic resource (304 pages)
    Publisher IntechOpen
    Document type Book ; Online
    Note English ; Open Access
    HBZ-ID HT021045723
    ISBN 9789535160922 ; 9535160923
    Database ZB MED Catalogue: Medicine, Health, Nutrition, Environment, Agriculture

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  5. Article ; Online: FPGA realization of four chaotic interference cases in a terrestrial trajectory model and application in image transmission.

    Estudillo-Valdez, Miguel-Angel / Adeyemi, Vincent-Ademola / Tlelo-Cuautle, Esteban / Sandoval-Ibarra, Yuma / Nuñez-Perez, Jose-Cruz

    Scientific reports

    2023  Volume 13, Issue 1, Page(s) 12969

    Abstract: This article presents a technique to integrate two dynamical models, a four-wing spherical chaotic oscillator and the elliptical path described by the planet Earth during its translation movement around the sun. Four application cases are derived from ... ...

    Abstract This article presents a technique to integrate two dynamical models, a four-wing spherical chaotic oscillator and the elliptical path described by the planet Earth during its translation movement around the sun. Four application cases are derived from the system by varying the dynamics of the chaotic oscillator and these can be applied in information encryption to transmit RGB and grayscale images modulated by CSK. Consequently, the three main contributions of this work are (1) the emulation of the trajectories of the planet Earth with chaotic interference, (2) the CSK modulation and image encryption in a master-slave synchronization topology, and (3) the CSK demodulation for decryption without loss of information with respect to the original information. The three contributions are based on VHDL code implementation. The results of the synchronization, encryption and decryption technique were verified by means of time series and the encrypted images showed a correlation less than - 0.000142 and - 0.0003439 for RGB and grayscale format, respectively, while the retrieved image shows a complete correlation with the image original. In this work, the co-simulations were performed between MATLAB/Simulink and Vivado, using the VHDL language on two FPGA boards from different manufacturers, namely, Xilinx Artix-7 AC701 and Intel Cyclone IV.
    Language English
    Publishing date 2023-08-10
    Publishing country England
    Document type Journal Article
    ZDB-ID 2615211-3
    ISSN 2045-2322 ; 2045-2322
    ISSN (online) 2045-2322
    ISSN 2045-2322
    DOI 10.1038/s41598-023-39823-x
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  6. Article: Fractional-Order Approximation of PID Controller for Buck-Boost Converters.

    S Sánchez, Allan G / Soto-Vega, Josué / Tlelo-Cuautle, Esteban / Rodríguez-Licea, Martín Antonio

    Micromachines

    2021  Volume 12, Issue 6

    Abstract: Viability of a fractional-order proportional-integral-derivative (PID) approximation to regulate voltage in buck-boost converters is investigated. The converter applications range not only to high-power ones but also in micro/nano-scale systems from ... ...

    Abstract Viability of a fractional-order proportional-integral-derivative (PID) approximation to regulate voltage in buck-boost converters is investigated. The converter applications range not only to high-power ones but also in micro/nano-scale systems from biomedicine for energy management/harvesting. Using a classic closed-loop control diagram the controller effectiveness is determined. Fractional calculus is considered due to its ability at modeling different types of systems accurately. The non-integer approach is integrated into the control strategy through a Laplacian operator biquadratic approximation to generate a flat phase curve in the system closed-loop frequency response. The controller synthesis considers both robustness and closed-loop performance to ensure a fast and stable regulation characteristic. A simple tuning method provides the appropriate gains to meet design requirements. The superiority of proposed approach, determined by comparing the obtained time constants with those from typical PID controllers, confirms it as alternative to controller non-minimum phases systems. Experimental realization of the resulting controller, implemented through resistor-capacitor (RC) circuits and operational amplifiers (OPAMPs) in adder configuration, confirms its effectiveness and viability.
    Language English
    Publishing date 2021-05-21
    Publishing country Switzerland
    Document type Journal Article
    ZDB-ID 2620864-7
    ISSN 2072-666X
    ISSN 2072-666X
    DOI 10.3390/mi12060591
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  7. Article: Optimization of fractional-order chaotic cellular neural networks by metaheuristics.

    Tlelo-Cuautle, Esteban / González-Zapata, Astrid Maritza / Díaz-Muñoz, Jonathan Daniel / de la Fraga, Luis Gerardo / Cruz-Vega, Israel

    The European physical journal. Special topics

    2022  Volume 231, Issue 10, Page(s) 2037–2043

    Abstract: Artificial neural networks have demonstrated to be very useful in solving problems in artificial intelligence. However, in most cases, ANNs are considered integer-order models, limiting the possible applications in recent engineering problems. In ... ...

    Abstract Artificial neural networks have demonstrated to be very useful in solving problems in artificial intelligence. However, in most cases, ANNs are considered integer-order models, limiting the possible applications in recent engineering problems. In addition, when dealing with fractional-order neural networks, almost any work shows cases when varying the fractional order. In this manner, we introduce the optimization of a fractional-order neural network by applying metaheuristics, namely: differential evolution (DE) and accelerated particle swarm optimization (APSO) algorithms. The case study is a chaotic cellular neural network (CNN), for which the main goal is generating fractional orders of the neurons whose Kaplan-Yorke dimension is being maximized. We propose a method based on Fourier transform to evaluate if the generated time series is chaotic or not. The solutions that do not have chaotic behavior are not passed to the time series analysis (TISEAN) software, thus saving execution time. We show the best solutions provided by DE and APSO of the attractors of the fractional-order chaotic CNNs.
    Language English
    Publishing date 2022-01-21
    Publishing country France
    Document type Journal Article
    ZDB-ID 2267176-6
    ISSN 1951-6401 ; 1951-6355
    ISSN (online) 1951-6401
    ISSN 1951-6355
    DOI 10.1140/epjs/s11734-022-00452-6
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  8. Article ; Online: Investigation of Early Warning Indexes in a Three-Dimensional Chaotic System with Zero Eigenvalues.

    Chen, Lianyu / Nazarimehr, Fahimeh / Jafari, Sajad / Tlelo-Cuautle, Esteban / Hussain, Iqtadar

    Entropy (Basel, Switzerland)

    2020  Volume 22, Issue 3

    Abstract: A rare three-dimensional chaotic system with all eigenvalues equal to zero is proposed, and its dynamical properties are investigated. The chaotic system has one equilibrium point at the origin. Numerical analysis shows that the equilibrium point is ... ...

    Abstract A rare three-dimensional chaotic system with all eigenvalues equal to zero is proposed, and its dynamical properties are investigated. The chaotic system has one equilibrium point at the origin. Numerical analysis shows that the equilibrium point is unstable. Bifurcation analysis of the system shows various dynamics in a period-doubling route to chaos. We highlight that from the evaluation of the entropy, bifurcation points can be predicted by identifying early warning signals. In this manner, bifurcation points of the system are analyzed using Shannon and Kolmogorov-Sinai entropy. The results are compared with Lyapunov exponents.
    Language English
    Publishing date 2020-03-17
    Publishing country Switzerland
    Document type Journal Article
    ZDB-ID 2014734-X
    ISSN 1099-4300 ; 1099-4300
    ISSN (online) 1099-4300
    ISSN 1099-4300
    DOI 10.3390/e22030341
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  9. Article: FPAA-based implementation of fractional-order chaotic oscillators using first-order active filter blocks.

    Silva-Juárez, Alejandro / Tlelo-Cuautle, Esteban / de la Fraga, Luis Gerardo / Li, Rui

    Journal of advanced research

    2020  Volume 25, Page(s) 77–85

    Abstract: Fractional-order chaotic oscillators (FOCOs) have been widely studied during the last decade, and some of them have been implemented on embedded hardware like field-programmable gate arrays, which is a good option for fast prototyping and verification of ...

    Abstract Fractional-order chaotic oscillators (FOCOs) have been widely studied during the last decade, and some of them have been implemented on embedded hardware like field-programmable gate arrays, which is a good option for fast prototyping and verification of the desired behavior. However, the hardware resources are dependent on the length of the digital word that is used, and this can degrade the desired response due to the finite number of bits to perform computer arithmetic. In this manner, this paper shows the implementation of FOCOs using analog electronics to generate continuous-time chaotic behavior. Charef's method is applied to approximate the fractional-order derivatives as a ratio of two polynomials in the Laplace domain. For instance, two commensurate FOCOs are the cases of study herein, for which we show their dynamical analysis by evaluating their equilibrium points and eigenvalues that are used to estimate the minimum fractional-order that guarantees their chaotic behavior. We propose the use of first-order all-pass and low-pass filters to design the ratio of the polynomials that approximate the fractional-order. The filters are implemented using amplifiers and synthesized on a field-programmable analog array (FPAA) device. Experimental results are in good agreement with simulation results thus demonstrating the usefulness of FPAAs to generate continuous-time chaotic behavior, and to allow reprogramming of the parameters of the FOCOs.
    Language English
    Publishing date 2020-06-20
    Publishing country Egypt
    Document type Journal Article ; Review
    ZDB-ID 2541849-X
    ISSN 2090-1224 ; 2090-1232
    ISSN (online) 2090-1224
    ISSN 2090-1232
    DOI 10.1016/j.jare.2020.05.014
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  10. Article ; Online: Graph-based symbolic technique and its application in the frequency response bound analysis of analog integrated circuits.

    Tlelo-Cuautle, E / Rodriguez-Chavez, S / Palma-Rodriguez, A A

    TheScientificWorldJournal

    2014  Volume 2014, Page(s) 202371

    Abstract: A new graph-based symbolic technique (GBST) for deriving exact analytical expressions like the transfer function H(s) of an analog integrated circuit (IC), is introduced herein. The derived H(s) of a given analog IC is used to compute the frequency ... ...

    Abstract A new graph-based symbolic technique (GBST) for deriving exact analytical expressions like the transfer function H(s) of an analog integrated circuit (IC), is introduced herein. The derived H(s) of a given analog IC is used to compute the frequency response bounds (maximum and minimum) associated to the magnitude and phase of H(s), subject to some ranges of process variational parameters, and by performing nonlinear constrained optimization. Our simulations demonstrate the usefulness of the new GBST for deriving the exact symbolic expression for H(s), and the last section highlights the good agreement between the frequency response bounds computed by our variational analysis approach versus traditional Monte Carlo simulations. As a conclusion, performing variational analysis using our proposed GBST for computing the frequency response bounds of analog ICs, shows a gain in computing time of 100x for a differential circuit topology and 50x for a 3-stage amplifier, compared to traditional Monte Carlo simulations.
    MeSH term(s) Algorithms ; Computer Simulation ; Monte Carlo Method
    Language English
    Publishing date 2014-07-17
    Publishing country United States
    Document type Journal Article ; Research Support, Non-U.S. Gov't
    ZDB-ID 2075968-X
    ISSN 1537-744X ; 1537-744X
    ISSN (online) 1537-744X
    ISSN 1537-744X
    DOI 10.1155/2014/202371
    Database MEDical Literature Analysis and Retrieval System OnLINE

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