Auswahl der wissenschaftlichen Literatur zum Thema „Fractional chaotic system“
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Zeitschriftenartikel zum Thema "Fractional chaotic system":
Yang, Chunde, Hao Cai und Ping Zhou. „Compound Generalized Function Projective Synchronization for Fractional-Order Chaotic Systems“. Discrete Dynamics in Nature and Society 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/7563416.
Hu, Jian-Bing, und Ling-Dong Zhao. „Finite-Time Synchronizing Fractional-Order Chaotic Volta System with Nonidentical Orders“. Mathematical Problems in Engineering 2013 (2013): 1–4. http://dx.doi.org/10.1155/2013/264136.
Zhou, Ping, und Rui Ding. „An Adaptive Tracking Control of Fractional-Order Chaotic Systems with Uncertain System Parameter“. Mathematical Problems in Engineering 2011 (2011): 1–11. http://dx.doi.org/10.1155/2011/521549.
EL-KHAZALI, REYAD, WAJDI AHMAD und YOUSEF AL-ASSAF. „SLIDING MODE CONTROL OF GENERALIZED FRACTIONAL CHAOTIC SYSTEMS“. International Journal of Bifurcation and Chaos 16, Nr. 10 (Oktober 2006): 3113–25. http://dx.doi.org/10.1142/s0218127406016719.
Niu, Yujun, Xuming Sun, Cheng Zhang und Hongjun Liu. „Anticontrol of a Fractional-Order Chaotic System and Its Application in Color Image Encryption“. Mathematical Problems in Engineering 2020 (12.03.2020): 1–12. http://dx.doi.org/10.1155/2020/6795964.
WANG, XING-YUAN, GUO-BIN ZHAO und YU-HONG YANG. „DIVERSE STRUCTURE SYNCHRONIZATION OF FRACTIONAL ORDER HYPER-CHAOTIC SYSTEMS“. International Journal of Modern Physics B 27, Nr. 11 (25.04.2013): 1350034. http://dx.doi.org/10.1142/s0217979213500343.
Jiang, Cuimei, Shutang Liu und Chao Luo. „A New Fractional-Order Chaotic Complex System and Its Antisynchronization“. Abstract and Applied Analysis 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/326354.
Fang, Jing, und Ruo Xun Zhang. „Synchronization of Incommensurate Fractional-Order Chaotic System Using Adaptive Control“. Applied Mechanics and Materials 602-605 (August 2014): 946–49. http://dx.doi.org/10.4028/www.scientific.net/amm.602-605.946.
Zhou, Ping, Rui Ding und Yu-xia Cao. „Hybrid Projective Synchronization for Two Identical Fractional-Order Chaotic Systems“. Discrete Dynamics in Nature and Society 2012 (2012): 1–11. http://dx.doi.org/10.1155/2012/768587.
Cui, Yan, Hongjun He, Guan Sun und Chenhui Lu. „Analysis and Control of Fractional Order Generalized Lorenz Chaotic System by Using Finite Time Synchronization“. Advances in Mathematical Physics 2019 (03.07.2019): 1–12. http://dx.doi.org/10.1155/2019/3713789.
Dissertationen zum Thema "Fractional chaotic system":
Rahman, Z. A. S. A., B. H. Jasim, Yasir Al-Yasir, Raed A. Abd-Alhameed und B. N. Alhasnawi. „A New No Equilibrium Fractional Order Chaotic System, Dynamical Investigation, Synchronization and Its Digital Implementation“. MDPI, 2021. http://hdl.handle.net/10454/18546.
In this paper, a new fractional order chaotic system without equilibrium is proposed, analyti-cally and numerically investigated, and numerically and experimentally tested. The analytical and numerical investigation were used to describe the system dynamical behaviors including, the system equilibria, the chaotic attractors, the bifurcation diagrams and the Lyapunov expo-nents. Based on the obtained dynamical behaviors, the system can excite hidden chaotic attrac-tors since it has no equilibrium. Then, a synchronization mechanism based on the adaptive con-trol theory has been developed between two identical new systems (master and slave). The adaptive control laws are derived based on synchronization error dynamics of the state varia-bles for the master and slave. Consequently, the update laws of the slave parameters are ob-tained, where the slave parameters are assumed to be uncertain and estimate corresponding to the master parameters by the synchronization process. Furthermore, Arduino Due boards were used to implement the proposed system in order to demonstrate its practicality in real-world applications. The simulation experimental results are obtained by MATLAB and the Arduino Due boards respectively, where a good consistent between the simulation results and the ex-perimental results. indicating that the new fractional order chaotic system is capable of being employed in real-world applications.
Yang, Chunxiao. „Fractional chaotic pseudo-random number generator design and application to image cryptosystem“. Electronic Thesis or Diss., Ecole centrale de Nantes, 2022. http://www.theses.fr/2022ECDN0063.
Chaotic systems have been employed to design pseudo-random number generators (PRNG) and applied to cryptosystems due to their promising features, such as randomness and sensitivity to initial conditions. The fractional chaotic systems, though muchless discussed than the classical integer order chaotic maps and systems, possess intriguing intricacy which can provide novelty, complexity, and extra secret keys to the Chaotic PRNG (CPRNG) design, which in turn enhance the security of the cryptosystem.This thesis investigated different numerical calculation approaches for fractional chaotic systems. A non-uniform gird calculationmethod with two different grid compositions was proposed to solve the 3D fractional chaotic systems numerically. The FractionalCPRNGs (FCPRNG), which meet the randomness and statistical requirements, were designed for the first time employing threedifferent fractional chaotic systems. In addition, a stream cipher and a block cipher based on DNA encoding and decoding methods were proposed and studied using the designed FCPRNGs. Both ciphers have been verified to be secure and reliable
Beig, Mirza Tanweer Ahmad. „Fractional Calculus and Dynamic Approach to Complexity“. Thesis, University of North Texas, 2015. https://digital.library.unt.edu/ark:/67531/metadc822832/.
Yang, Kung-Wei, und 楊坤偉. „Chaos and chaos synchronization of integral and fractional order unified chaotic system“. Thesis, 2005. http://ndltd.ncl.edu.tw/handle/53991815856211994860.
Chang, Shuo-Wen, und 張碩文. „Uncertain Fractional Order Chaotic System Synchronization Based on Adaptive Intelligent Control via LMI Approach：Indirect；Direct；Hybrid“. Thesis, 2011. http://ndltd.ncl.edu.tw/handle/71061366396479798113.
逢甲大學
電子工程所
99
This thesis presents an adaptive fuzzy control for uncertain fractional order chaotic system via linear matrices inequality (LMI) approach incorporating Lyapunov stability method with H∞ control to deal with the training data corrupted by noise and rule uncertainties involving external disturbance. The adaptive intelligent fuzzy control which includes direct, indirect and hybrid categories is developed for a class of uncertain fractional order chaotic system synchronization and uncertain fractional order chaotic system with time delay synchronization. The hybrid adaptive fuzzy controller is a combination of direct and indirect adaptive fuzzy controllers. A weighting factor, which can be adjusted by the trade-off between plant knowledge and control knowledge, is adopted to sum together the control efforts from indirect adaptive fuzzy controller and direct adaptive fuzzy controller. Nonlinear fractional chaotic slave system is gully illustrated to track the trajectory generated from fractional order master chaotic system. The overall adaptive scheme guarantees the global stability of the resulting closed-loop system in the sense that all signals involved are uniformly bounded. Simulation results show that the interval type-2 adaptive fuzzy logic controllers (AFLCs) can effectively handle the training data corrupted by external disturbance, internal noise and rule uncertainties involving external disturbance. Comparing with interval type-2 AFLCs, type-1 AFLCs not only expend more control effort to deal with the training data corrupted by noises but also obtain worse synchronization performance.
Sibiya, Abram Hlophane. „Numerical methods for a four dimensional hyperchaotic system with applications“. Diss., 2019. http://hdl.handle.net/10500/26398.
Mathematical Sciences
M. Sc. (Applied Mathematics)
Chien, Tseng-Hsu, und 錢增旭. „Low-Order State-Space Self-Tuning Control for Stochastic Integer/Fractional Order Chaotic Systems and Fault Tolerant Control“. Thesis, 2006. http://ndltd.ncl.edu.tw/handle/03730441677592432830.
國立成功大學
電機工程學系碩博士班
95
A study of a new effective low-order state-space self-tuning control for stochastic integer/fractional order chaotic systems and fault tolerant control is presented in this dissertation. This dissertation includes three aspects: First of all, an effective lower-order tuner for a stochastic chaotic hybrid system is designed using the observer/Kalman filter identification method, in which the system state in a general coordinate form is transformed to one in an observer form. Moreover, it provides a lower-order realization of the tracker, with computationally effective initialization, for on-line “auto-regressive moving average process with exogenous model-based” identification and a lower-order state-space self-tuning control technique. Secondly, based on the modified state-space self-tuning control, a novel low-order tuner via the observer/Kalman filter identification is proposed for stochastic fractional-order chaotic systems. Then, in stead of using the conventional identification algorithm used in self-tuning control, the Kalman filter as a parameter estimator with the state-space innovation form is presented for effectively estimating the time-varying parameters. Besides, taking the advantage of the digital redesign approach, the current-output-based observer is proposed for the modified self-tuning control. Finally, a new low-order self-tuning fault-tolerant control scheme for unknown multivariable stochastic systems by modifying the conventional self-tuning control is also developed. For the detection of fault occurrence, a quantitative criterion is developed by comparing the innovation process errors occurring in the Kalman filter estimation algorithm. The proposed method can effectively cope with partially abrupt and/or gradual system faults and/or input failures with fault detection.
Lee, Tun-Yuan, und 李敦元. „Chaos Synchronization of Uncertain Fractional Order Chaotic Systems Based on Adaptive Fuzzy Sliding Mode Control: Indirect; Direct; Hybrid“. Thesis, 2011. http://ndltd.ncl.edu.tw/handle/55228805426400138229.
逢甲大學
電子工程所
99
This thesis proposes an adaptive fuzzy sliding model controller (AFSMC) to synchronize two different uncertain fractional order chaotic systems and to synchronize two different uncertain fractional order time delay chaotic systems which are infinite dimensional in nature and time delay is a source of instability. Because modeling the behavior of dynamical systems by fractional order differential equations has more advantages than integer order modeling, the adaptive time delay fuzzy logic system is constructed to approximate the unknown fractional order time delay system functions. The AFSMC is classified into three categories: direct AFSMC, indirect AFSMC and hybrid AFSMC. A hybrid AFSMC can be constructed by incorporating both fuzzy description and fuzzy control rules using a weighting factor a to sum together the control efforts from indirect AFSMC and direct AFSMC. The weighting factor a [0, 1] can be adjusted by the trade-off between plant knowledge and control knowledge. We let a=1 if pure indirect adaptive FNN controller is required and a=0 when pure direct adaptive FNN controller is chosen. If fuzzy control rules are more important and reliable than fuzzy descriptions of the plant, choose smaller a; otherwise choose larger a. By using Lyapunov stability criterion, the free parameters of the adaptive fuzzy controller can be tuned on line by output feedback control law and adaptive law. The sliding model design procedure not only guarantees the stability and robustness of the proposed AFSMC, but also the external disturbance on the synchronization error can be attenuated. The simulation example is included to confirm validity and synchronization performance of the advocated design methodology.
Bücher zum Thema "Fractional chaotic system":
Azar, Ahmad Taher, Sundarapandian Vaidyanathan und Adel Ouannas, Hrsg. Fractional Order Control and Synchronization of Chaotic Systems. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50249-6.
Martínez-Guerra, Rafael, Claudia A. Pérez-Pinacho und Gian Carlo Gómez-Cortés. Synchronization of Integral and Fractional Order Chaotic Systems. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15284-4.
Sun, Kehui, Shaobo He und Huihai Wang. Solution and Characteristic Analysis of Fractional-Order Chaotic Systems. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3273-1.
Azar, Ahmad Taher, Sundarapandian Vaidyanathan und Adel Ouannas. Fractional Order Control and Synchronization of Chaotic Systems. Springer, 2018.
Azar, Ahmad Taher, Sundarapandian Vaidyanathan und Adel Ouannas. Fractional Order Control and Synchronization of Chaotic Systems. Springer, 2017.
Zaslavsky, George M. Hamiltonian Chaos and Fractional Dynamics. Oxford University Press, Incorporated, 2004.
Zaslavsky, George M. Hamiltonian Chaos and Fractional Dynamics. Oxford University Press, USA, 2005.
Zaslavsky, George M. Hamiltonian Chaos and Fractional Dynamics. Oxford University Press, 2008.
He, Shaobo, Huihai Wang und Kehui Sun. Solution and Characteristic Analysis of Fractional-Order Chaotic Systems. Springer, 2022.
Boulkroune, Abdesselem, und Samir Ladaci. Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems. IGI Global, 2018.
Buchteile zum Thema "Fractional chaotic system":
Yang, Chunxiao, Ina Taralova und Jean Jacques Loiseau. „Fractional Chaotic System Solutions and Their Impact on Chaotic Behaviour“. In 14th Chaotic Modeling and Simulation International Conference, 521–35. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-96964-6_36.
Sun, Kehui, Shaobo He und Huihai Wang. „Complexity Analysis of Fractional-Order Chaotic System“. In Solution and Characteristic Analysis of Fractional-Order Chaotic Systems, 117–41. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3273-1_7.
Bhalekar, Sachin. „Dynamics of Fractional Order Complex Uçar System“. In Fractional Order Control and Synchronization of Chaotic Systems, 747–71. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50249-6_26.
Feng, Junqing, und Guohong Liang. „Dynamical Analysis of Fractional-Order Hyper-chaotic System“. In Advances in Intelligent Systems and Computing, 36–41. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-69096-4_5.
Razmjou, E. G., A. Ranjbar, Z. Rahmani und R. Ghaderi. „Robust Synchronization and Parameter Identification of a Unified Fractional-Order Chaotic System“. In Fractional Dynamics and Control, 173–84. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0457-6_14.
Martínez-Guerra, Rafael, Claudia A. Pérez-Pinacho und Gian Carlo Gómez-Cortés. „Synchronization of an Uncertain Rikitake System with Parametric Estimation“. In Synchronization of Integral and Fractional Order Chaotic Systems, 101–10. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15284-4_5.
Vaidyanathan, Sundarapandian, Quanmin Zhu und Ahmad Taher Azar. „Adaptive Control of a Novel Nonlinear Double Convection Chaotic System“. In Fractional Order Control and Synchronization of Chaotic Systems, 357–85. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50249-6_12.
Lassoued, Abir, und Olfa Boubaker. „A New Fractional-Order Jerk System and Its Hybrid Synchronization“. In Fractional Order Control and Synchronization of Chaotic Systems, 699–718. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50249-6_24.
Lamamra, Kheireddine, Sundarapandian Vaidyanathan, Ahmad Taher Azar und Chokri Ben Salah. „Chaotic System Modelling Using a Neural Network with Optimized Structure“. In Fractional Order Control and Synchronization of Chaotic Systems, 833–56. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50249-6_29.
Ben Saad, Afef, und Olfa Boubaker. „A New Fractional-Order Predator-Prey System with Allee Effect“. In Fractional Order Control and Synchronization of Chaotic Systems, 857–77. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50249-6_30.
Konferenzberichte zum Thema "Fractional chaotic system":
Donato, Cafagna, und Grassi Giuseppe. „A novel memristor-based chaotic system with fractional order“. In 2014 International Conference on Fractional Differentiation and its Applications (ICFDA). IEEE, 2014. http://dx.doi.org/10.1109/icfda.2014.6967415.
Liu, Licai, Chuanhong Du, Fengxia Zhu und Liangli Xiu. „Multi-System Fractional-Order Chaotic Signal Generator“. In 2019 IEEE 2nd International Conference on Electronics Technology (ICET). IEEE, 2019. http://dx.doi.org/10.1109/eltech.2019.8839428.
Ding, Jun, und Na Li. „Fractional-order chaotic system: Analysis and application“. In 2015 International Workshop on Materials, Manufacturing Technology, Electronics and Information Science. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789813109384_0042.
El-Maksoud, Ahmed J. Abd, Ayman A. Abd El-Kader, Bahy G. Hassan, Mohamed A. Abdelhamed, Nader G. Rihan, Mohamed F. Tolba, Lobna A. Said, Ahmed G. Radwan und Mohamed F. Abu-Elyazeed. „FPGA implementation of fractional-order Chua's chaotic system“. In 2018 7th International Conference on Modern Circuits and Systems Technologies (MOCAST). IEEE, 2018. http://dx.doi.org/10.1109/mocast.2018.8376632.
Shangbo Zhou, Hao Zhu und Hua Li. „Chaotic Synchronization of a Fractional Neuron Network System“. In 2007 5th International Conference on Communications, Circuits and Systems. IEEE, 2007. http://dx.doi.org/10.1109/icccas.2007.4348266.
Boroujeni, E. A., M. J. Yazdanpanah und H. R. Momeni. „Controller design for fractional order chaotic Lu system“. In 2012 American Control Conference - ACC 2012. IEEE, 2012. http://dx.doi.org/10.1109/acc.2012.6315518.
Zhang, Fandi. „Projective synchronization control of fractional-order chaotic system“. In 2018 8th International Conference on Applied Science, Engineering and Technology (ICASET 2018). Paris, France: Atlantis Press, 2018. http://dx.doi.org/10.2991/icaset-18.2018.33.
Feng chen und Xiaobing Huang. „A fractional-order four-wing Hyper-chaotic system“. In 2012 4th Electronic System-Integration Technology Conference (ESTC). IEEE, 2012. http://dx.doi.org/10.1109/estc.2012.6485910.
Mehta, Sandip A., und Snehal Panchal. „Nonlinear and nonlinear fractional order chaotic system identification and comparison between two chaotic system“. In 2013 Nirma University International Conference on Engineering (NUiCONE). IEEE, 2013. http://dx.doi.org/10.1109/nuicone.2013.6780180.
Naseri, E., A. Ranjbar und S. H. HosseinNia. „Backstepping Control of Fractional-Order Chen System“. In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86950.