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

Journal title

Archives of Control Sciences




No 4

Publication authors

Divisions of PAS

Nauki Techniczne


<jats:title>Abstract</jats:title> <jats:p>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.</jats:p>


Committee of Automatic Control and Robotics PAS




ISSN 1230-2384


VAIDYANATHAN (null), and adaptive control of a novel conservative no - equilibrium chaotic system of Control, Analysis Archives Sciences, 23, 2015. ; VOLOS (2012), Motion control of robots using a chaotic truly random bits generator, Journal Engineering Science Technology Review, 5. ; VAIDYANATHAN (2017), new jerk chaotic system with two cubic nonlinearities and its adaptive backstepping control of Control, Archives Sciences, 12, 409. ; WANG (2012), chaotic system with only one stable equilibrium in and Numerical Simulation, Communications Nonlinear Science, 24, 1264. ; WOLF (1985), Determining exponents from a time series, Lyapunov Physica, 25, 285. ; VAIDYANATHAN (2016), Advances and Applications in Chaotic Systems, null, 1. ; PHAM (2016), chaotic system with equilibria located on the rounded square loop and its circuit implementation on and :, IEEE Transactions Circuits Systems II Express Briefs, 27, 878. ; VAIDYANATHAN (2017), synchronisation and circuit implementation of a novel jerk chaotic system and its application for voice encryption of Modelling Identification and Control, Analysis International Journal, 29, 153. ; PEHLIVAN (2014), synchronization and circuit design of a novel butterfly attractor of and, Analysis Journal Sound Vibration, 19, 333. ; YANG (2012), fuzzy - logic based chaos for cooperative foraging of multi - robots in unknown environments International Joournal of Robotics and Automation, null, 27, 15. ; RASAPPAN (2012), Global chaos synchronization of chaotic systems by backstepping control Far of Mathematical, East Journal Sciences, 67. ; DUDKOWSKI (2016), Hidden attractors in dynamical systems Physics Reports, null, 13, 637. ; PHAM (null), Hidden attractors in a chaotic system with an exponential nonlinear term, European Physical Journal Special Topics, 21, 224. ; AZAR (2016), Advances in Theory Intelligent Control, Chaos. ; VAIDYANATHAN (2017), Applications of Sliding Mode Control in, Science Engineering. ; LORENZ (1963), Deterministic nonperiodic flow of the, Journal Atmospheric Sciences, 16, 130. ; PERI (2005), Logic Controller for an Autonomous Mobile Robot PhD Thesis Jawaharlal Nehru Technological University Hyderabad India, Fuzzy. ; SAMBAS (2016), novel jerk chaotic system and its application in secure communication system and mobile robot navigation in, Studies Computational Intelligence, 636. ; AZAR (2017), Fractional Order Control and Synchronization of Chaotic Systems, null. ; VAIDYANATHAN (null), control and synchronization of a novel jerk chaotic system with two quadratic nonlinearities Mathematical, Analysis Journal, 18, 2015. ; VAIDYANATHAN (2017), Advances in Devices Systems, null. ; VAIDYANATHAN (null), Output regulation of the forced Van der Pol chaotic oscillator via adaptive control method of PharmTech Research, International Journal, 11, 2015. ; DUDKOWSKI (null), Perpetual points and hidden attractors in dynamical systems, Physics Letters, 14, 379. ; AKGUL (2016), new fourscroll chaotic attractor and its engineering applications, Optik, 20, 127. ; VAIDYANATHAN (2016), Advances and Applications in Nonlinear Control Systems, null. ; VAIDYANATHAN (null), hyperchaotic Rikitake dynamo system with hidden attractors, European Physical Journal Special Topics, 22, 224. ; PALACIN (2004), Building a mobile robot for a floor cleaning operation in domestic environments on and, IEEE Transactions Instrumentation Measurement, 31, 53. ; SUNDARAPANDIAN (2012), control synchronization and circuit design of a novel chaotic system and Modelling, Analysis Mathematical Computer, 17, 1904. ; TAVERA (null), Implementation of chaotic behaviour on a fire fighting robot In of the th Congress of Mechanical November, Proc Int Engineering, 30, 2015. ; CHEN (1999), Yet another chaotic attractor of and, International Journal Bifurcation Chaos, 15, 1465. ; VOLOS (2017), novel four - dimensional hyperchaotic four - wing system with a saddle - focus equilibrium on and :, IEEE Transactions Circuits Systems II Express Briefs, 28, 339. ; VAIDYANATHAN (null), Adaptive synchronization of novel chemical chaotic reactor systems of Research, International Journal ChemTech, 8, 2015.