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A new three-dimensional chaotic system with a hidden attractor, circuit design and application in wireless mobile robot

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This research work proposes a new three-dimensional chaotic system with a hidden attractor. The proposed chaotic system consists of only two quadratic nonlinearities and the system possesses no critical points. The phase portraits and basic qualitative properties of the new chaotic system such as Lyapunov exponents and Lyapunov dimension have been described in detail. Finally, we give some engineering applications of the new chaotic system like circuit simulation and control of wireless mobile robot.
Rocznik
Strony
541--554
Opis fizyczny
Bibliogr. 36 poz., rys., wykr., wzory
Twórcy
  • Research and Development Centre, Vel Tech University, Avadi, Chennai- 600062, Tamil Nadu, India
autor
  • Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Malaysia, and Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Indonesia
autor
  • Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Malaysia
autor
  • Department of Physics, UIN Sunan Gunung Jati Bandung, Indonesia
Bibliografia
  • [1] S. Vaidyanathan and C. Volos Advances and Applications in Chaotic Systems. Springer, Berlin, Germany, 2016.
  • [2] A. T. Azar and S. Vaidyanathan: Advances in Chaos Theory and Intelligent Control. Springer, Berlin, Germany, 2016.
  • [3] S. Vaidyanathan and C. Volos: Advances and Applications in Nonlinear Control Systems. Springer, Berlin, Germany, 2016.
  • [4] A. T. Azar, S. Vaidyanathan and A. Ouannas: Fractional Order Control and Synchronization of Chaotic Systems. Springer, Berlin, Germany, 2017.
  • [5] S. Vaidyanathan and C. Volos: Advances in Memristors, Memristive Devices and Systems. Springer, Berlin, Germany, 2017.
  • [6] S. Vaidyanathan and C. H. Lien: Applications of Sliding Mode Control in Science and Engineering. Springer, Berlin, Germany, 2017.
  • [7] S. Rasappan and S. Vaidyanathan: Global chaos synchronization of WINDMI and Coullet chaotic systems by backstepping control. Far East Journal of Mathematical Sciences, 67 (2), (2012), 265–287.
  • [8] S. Vaidyanathan, C. K. Volos and V. T. Pham: Global chaos control of a novel nine-term chaotic system via sliding mode control. Studies in Computational Intelligence, 576 (2015), 571-590.
  • [9] S. Vaidyanathan: Adaptive synchronization of novel 3-D chemical chaotic reactor systems. International Journal of ChemTech Research, 8 (7), (2015), 159–171.
  • [10] S. Vaidyanathan, C. K. Volos, K. Rajagopal, I. M. Kyprianidis and I. N. Stoubulos: Adaptive backstepping controller design for the anti-synchronization of identical WINDMI chaotic systems with unknown parameters and its SPICE implementation. Journal of Engineering Science and Technology Review, 8 (2), (2015), 74–82.
  • [11] S. Vaidyanthan: Output regulation of the forced Van der Pol chaotic oscillator via adaptive control method. International Journal of PharmTech Research, 8 (6), (2015), 106–116.
  • [12] S. Vaidyanathan: A new 3-D jerk chaotic system with two cubic nonlinearities and its adaptive backstepping control. Archives of Control Sciences, 27 (3), (2017), 409–439.
  • [13] D. Dudkowski, S. Jafari, T. Kapitaniak, N. V. Kuznetsov, G. A. Leonov and A. Prasad: Hidden attractors in dynamical systems. Physics Reports, 637 (2016), 1–50.
  • [14] D. Dudkowski, A. Prasad and T. Kapitaniak: Perpetual points and hidden attractors in dynamical systems. Physics Letters A, 379 (2015), 2591–2596.
  • [15] G. Chen and T. Ueta: Yet another chaotic attractor. International Journal of Bifurcation and Chaos, 9 (1999), 1465–1466.
  • [16] E. N. Lorenz: Deterministic nonperiodic flow. Journal of the Atmospheric Sciences, 20 (1963), 130–141.
  • [17] V. Sundarapandian and I. Pehlivan: Analysis, control, synchronization, and circuit design of a novel chaotic system. Mathematical and Computer Modelling, 55 (2012), 1904-1915.
  • [18] S. Vaidyanathan: Analysis, control, and synchronization of a 3-D novel jerk chaotic system with two quadratic nonlinearities. Kyungpook Mathematical Journal, 55 (3), (2015), 563-585.
  • [19] I. Pehlivan, I. M. Moroz and S. Vaidyanathan: Analysis, synchronization and circuit design of a novel butterfly attractor. Journal of Sound and Vibration, 333 (2014), 5077-5096.
  • [20] A. Akgul, I. Moroz, I. Pehlivan and S. Vaidyanathan: A new fourscroll chaotic attractor and its engineering applications. Optik, 127 (2016), 5491-5499.
  • [21] V. T. Pham, C. K. Volos and S. Jafari: Hidden attractors in a chaotic system with an exponential nonlinear term. European Physical Journal: Special Topics, 224 (2015), 1507-1517.
  • [22] S. Vaidyanathan, V. T. Pham and C. K. Volos: A 5-D hyperchaotic Rikitake dynamo system with hidden attractors. European Physical Journal: Special Topics, 224 (2015), 1575–1592.
  • [23] S. Vaidyanathan and C. Volos: Analysis and adaptive control of a novel 3-D conservative no-equilibrium chaotic system. Archives of Control Sciences, 25 (3), (2015), 333-353.
  • [24] X. Wang and G. Chen: A chaotic system with only one stable equilibrium. Communications in Nonlinear Science and Numerical Simulation, 17 (2012), 1264-1272.
  • [25] A. Wolf, J. B. Swift, H. L. Swinney and J. A. Vastano: Determining Lyapunov exponents from a time series. Physica D, 16 (1985), 285-317.
  • [26] X. F. Li, K. E. Chlouverakis and D. L. Xu, Nonlinear dynamics and circuit realization of a new chaotic flow: a variant of Lorenz, Chen and Lu. Nonlinear Analysis: Real World Applications, 10 (2015), 2357-2368.
  • [27] V. T. Phams, S. Jafari, C. Volos, A. Giakoumis, S. Vaidyanathan and T. Kapitaniak: A chaotic system with equilibria located on the rounded square loop and its circuit implementation. IEEE Transactions on Circuits and Systems II: Express Briefs, 63 (9), (2016), 878-882.
  • [28] C. Volos, J. O. Maaita, S. Vaidyanathan, V. T. Pham, I. Stouboulos and I. Kyprianidis: A novel four-dimensional hyperchaotic four-wing system with a saddle-focus equilibrium. IEEE Transactions on Circuits and Systems II: Express Briefs, 64 (3), (2017), 339–343.
  • [29] S. Vaidyanathan, A. Sambas, M. Mamat and M. Sanjaya WS: Analysis, synchronisation and circuit implementation of a novel jerk chaotic system and its application for voice encryption. International Journal of Modelling, Identification and Control, 28 (2), (2017), 153–166.
  • [30] M. J. M. Tavera, M. S. Dutra, E. Y. V. Diaz and O. Lengerke: Implementation of chaotic behaviour on a fire fighting robot. In Proc. of the 20th Int. Congress of Mechanical Engineering, Gramado, Brazil, November (2015).
  • [31] J. Palacin, J. A. Salse, I. Valganon and X. Clua: Building a mobile robot for a floor cleaning operation in domestic environments. IEEE Transactions on Instrumentation and Measurement, 53 (2004), 1418–1424.
  • [32] L. S. Martins Filho and E. E. N. Macau: Patrol mobile robots and chaotic trajectories. Mathematical Problems in Engineering, 2007 (2007), Article ID 61543.
  • [33] C. K. Volos, I. M. Kyprianidis and I. N. Stouboulos: Motion control of robots using a chaotic truly random bits generator. Journal Engineering Science and Technology Review, 5 (2012), 6-11.
  • [34] J. Ni and S. X. Yang: A fuzzy-logic based chaos GA for cooperative foraging of multi-robots in unknown environments. International Joournal of Robotics and Automation, 27 (2012), 15-30.
  • [35] A. Sambas, S. Vaindyanathan, M. Mamat, M. Sanjaya and D. S. Rahayu: A 3D novel jerk chaotic system and its application in secure communication system and mobile robot navigation. Studies in Computational Intelligence 636 (2016), 283–310.
  • [36] V. M. Peri: Fuzzy Logic Controller for an Autonomous Mobile Robot, PhD Thesis, Jawaharlal Nehru Technological University, Hyderabad, India, (2005).
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8c71e675-de6e-40dc-b4e2-f65743bcdbe9
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