Title

A novel 3-D jerk chaotic system with three quadratic nonlinearities and its adaptive control

Journal title

Archives of Control Sciences

Yearbook

2016

Issue

No 1

Authors

Vaidyanathan, Sundarapandian

Divisions of PAS

Nauki Techniczne

Publisher

Committee of Automatic Control and Robotics PAS

Date

2016

Identifier

DOI: 10.1515/acsc-2016-0002 ; ISSN 1230-2384

Source

Archives of Control Sciences; 2016; No 1

References

VAIDYANATHAN (2015), Output regulation of the forced Van der Pol chaotic oscillator via adaptive control method of PharmTech Research, International Journal, 43, 106. ; VAIDYANATHAN (2014), A new eight - term polynomial chaotic system with three quadratic nonlinearities of, Far East Journal Mathematical Sciences, 17, 219. ; VAIDYANATHAN (2015), Analysis adaptive control and synchronization of a seventerm novel chaotic system with three quadratic nonlinearities and its digital implementation in LabVIEW of and, Journal Engineering Science Technology Review, 25, 130. ; VAIDYANATHAN (2015), Anti - synchronization of chemical chaotic reactors via adaptive control method of, International Journal ChemTech Research, 53, 73. ; VAIDYANATHAN (2015), Adaptive backstepping controller design for the antisynchronization of identical WINDMI chaotic systems with unknown parameters and its SPICE implementation of and, Journal Engineering Science Technology Review, 110, 74. ; VAIDYANATHAN (2015), Global chaos synchronization of novel coupled Van der Pol conservative chaotic systems via adaptive control method of PharmTech Research, International Journal, 40, 95. ; SUNDARAPANDIAN (2012), Analysis control , synchronization and circuit design of a novel chaotic system and Computer Modelling, Mathematical, 13, 1904. ; VAIDYANATHAN (2011), Output regulation of the unified chaotic system in Computer and, Communications Information Science, 96, 1. ; VOLOS (2015), Random bit generator based on non - autonomous chaotic systems of Research on Advanced Intelligent Control Engineering and Automation, Handbook, 92, 203. ; VAIDYANATHAN (2012), Anti - synchronization of four - wing chaotic systems via sliding mode control of Automation and Computing, International Journal, 117, 274. ; VAIDYANATHAN (2012), Global chaos synchronization of hyperchaotic Pang and hyperchaotic Wang systems via adaptive control of, International Journal Soft Computing, 102, 28, doi.org/10.3923/ijscomp.2012.28.37 ; VAIDYANATHAN (2015), novel highly chaotic system with four quadratic nonlinearities , its adaptive control and anti - synchronization with unknown parameters of and, Journal Engineering Science Technology Review, 24, 106. ; VAIDYANATHAN (2015), Hyperchaos qualitative analysis , control and synchronisation of a ten - term hyperchaotic system with an exponential nonlinearity and three quadratic nonlinearities of Modelling , Identification and Control, International Journal, 103, 380. ; VOLOS (2015), Synchronization phenomena in coupled Colpitts circuits of and, Journal Engineering Science Technology Review, 86, 142. ; VAIDYATHAN (2015), Global chaos synchronization of - cells cellular neural network attractors via integral sliding mode control of PharmTech Research, International Journal, 67, 118. ; VAIDYATHAN (2015), Sliding mode control of Rucklidge chaotic system for nonlinear double convection of, International Journal ChemTech Research, 83, 25. ; VAIDYANATHAN (2015), Global chaos synchronisation of identical chaotic systems via novel sliding mode control method and its application to Zhu system of Modelling , Identification and Control, International Journal, 119, 92. ; VAIDYANATHAN (2015), Global chaos synchronization of chemical chaotic reactors via novel sliding mode control method of, International Journal ChemTech Research, 55, 209. ; VAIDYANATHAN (2015), Analysis control , synchronization and SPICE implementation of a novel hyperchaotic Rikitake dynamo system without equilibrium of and, Journal Engineering Science Technology Review, 49, 232. ; VAIDYATHAN (2015), Hybrid chaos synchronization of - cells cellular neural network attractors via adaptive control method of PharmTech Research, International Journal, 64, 61. ; LÜ (2002), A new chaotic attractor coined of and, International Journal Bifurcation Chaos, 8, 659, doi.org/10.1142/S0218127402004620 ; VAIDYANATHAN (2015), Global chaos synchronization of Duffing double - well chaotic oscillators via integral sliding mode control of, International Journal ChemTech Research, 46, 141. ; PHAM (2015), Hidden attractors in a chaotic system with an exponential nonlinear term :, European Physical Journal Special Topics, 36, 1507, doi.org/10.1140/epjst/e2015-02476-9 ; VAIDYATHAN (2015), Adaptive backstepping control of enzymes - substrates system with ferroelectric behaviour in brain waves of PharmTech Research, International Journal, 70, 256. ; PHAM (2015), Chaotic attractor in a novel time - delayed system with a saturation function of Research on Advanced Intelligence Control Engineering and Automation, Handbook, 38, 230. ; HÉNON (1964), The applicability of the third integral of motion : Some numerical experiments, Astrophysical Journal, 7, 73. ; VAIDYANATHAN (2014), Analysis and adaptive synchronization of eight - term polynomial chaotic systems with three quadratic nonlinearities :, European Physical Journal Special Topics, 20, 1519, doi.org/10.1140/epjst/e2014-02114-2 ; VAIDYANATHAN (2014), Adaptive backstepping control , synchronization and circuit simulation of a novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities of Control, Archives Sciences, 21, 257. ; VAIDYANATHAN (2015), Global chaos synchronization of Mathieu - Van der Pol chaotic systems via adaptive control method of, International Journal ChemTech Research, 44, 148. ; LIU (2004), A new chaotic attractor Solitons and Fractals, Chaos, 9, 1031. ; VAIDYANATHAN (2015), Anti - synchronization of Rikitake two - disk dynamo chaotic systems via adaptive control method of, International Journal ChemTech Research, 48, 393. ; VAIDYATHAN (2015), Adaptive biological control of generalized Lotka - Volterra three - species biological system of PharmTech Research, International Journal, 79, 622. ; VAIDYANATHAN (2015), Backstepping controller design for the global chaos synchronization of Sprott s jerk systems in, Studies Computational Intelligence, 113, 39, doi.org/10.1007/978-3-319-13132-0_3 ; VAIDYANATHAN (2013), Analysis adaptive control and synchronization of a seven - term novel chaotic system of Control Theory and Applications, International Journal, 19, 121. ; VAIDYANATHAN (2014), Generalised projective synchronisation of novel chaotic systems with an exponential non - linearity via active and adaptive control of Modelling , Identification and Control, International Journal, 22, 207. ; VAIDYANATHAN (2015), Analysis adaptive control and adaptive synchronization of a nine - term novel chaotic system with four quadratic nonlinearities and its circuit simulation of and, Journal Engineering Science Technology Review, 27, 174. ; SARASU (2012), Generalized projective synchronization of three - scroll chaotic systems via adaptive control of Scientific Research, European Journal, 107, 504. ; VAIDYATHAN (2015), Adaptive control of the FitzHugh - Nagumo chaotic neuron model of PharmTech Research, International Journal, 73, 117. ; VAIDYATHAN (2015), Chaos in neurons and adaptive control of Birkhoff - Shaw strange chaotic attractor of PharmTech Research, International Journal, 76, 956. ; VAIDYANATHAN (2015), Analysis and adaptive control of a novel conservative no - equilibrium chaotic system of Control, Archives Sciences, 28, 333. ; VAIDYATHAN (2015), Anti - synchronization of the generalized Lotka - Volterra three - species biological systems via adaptive control of PharmTech Research, International Journal, 81, 141. ; SARASU (2012), Generalized projective synchronization of three - scroll chaotic systems via adaptive control of Scientific Research, European Journal, 101, 504. ; VAIDYANATHAN (2013), Analysis and adaptive synchronization of two novel chaotic systems with hyperbolic sinusoidal and cosinusoidal nonlinearity and unknown parameters of and, Journal Engineering Science Technology Review, 16, 53. ; VAIDYANATHAN (2014), Analysis control and synchronisation of a six - term novel chaotic system with three quadratic nonlinearities of Modelling , Identification and Control, International Journal, 18, 41. ; VAIDYANATHAN (2011), Global chaos synchronization of hyperchaotic Bao and Xu systems by active nonlinear control in Computer and, Communications Information Science, 95, 10, doi.org/10.1007/978-3-642-22555-0_2 ; KHALIL (null), Nonlinear Systems York, New, 120, 2002. ; CHEN (1999), Yet another chaotic attractor of and, International Journal Bifurcation Chaos, 6, 1465, doi.org/10.1142/S0218127499001024 ; VAIDYANATHAN (2015), Global chaos synchronization of the forced Van der Pol chaotic oscillators via adaptive control method of PharmTech Research, International Journal, 41, 156. ; MATOUK (2011), Chaos feedback control and synchronization of a fractionalorder modified autonomous Van der PolU Duffing circuit in and Numerical Simulation, Communications Nonlinear Science, 84, 975, doi.org/10.1016/j.cnsns.2010.04.027 ; SUNDARAPANDIAN (2011), Anti - synchronization of hyperchaotic Lorenz and hyperchaotic Chen systems by adaptive control of Systems Signal Control and Engineering Application, International Journal, 100, 18. ; VAIDYANATHAN (2012), Global chaos control of hyperchaotic Liu system via sliding control method of Control Theory and Applications, International Journal, 118, 117. ; VAIDYANATHAN (2015), Adaptive backstepping controller design for the antisynchronization of identical WINDMI chaotic systems with unknown parameters and its SPICE implementation of and, Journal Engineering Science Technology Review, 112, 74. ; VAIDYATHAN (2015), Global chaos control of - cells cellular neural network attractor via integral sliding mode control of PharmTech Research, International Journal, 66, 211. ; VAIDYATHAN (2015), Active control design for the hybrid chaos synchronization of the Lotka - Volterra biological systems with four competitive species of PharmTech Research, International Journal, 78, 30. ; SARASU (2012), Generalized projective synchronization of two - scroll systems via adaptive control of, International Journal Soft Computing, 106, 146, doi.org/10.3923/ijscomp.2012.146.156 ; VAIDYANATHAN (2013), A new six - term chaotic system with an exponential nonlinearity of, Far East Journal Mathematical Sciences, 15, 135. ; VAIDYANATHAN (2015), A novel chemical chaotic reactor system and its output regulation via integral sliding mode control of, International Journal ChemTech Research, 56, 669. ; VAIDYATHAN (2015), Anti - synchronization of - cells cellular neural network attractors via adaptive control method of PharmTech Research, International Journal, 68, 26. ; VAIDYANATHAN (2015), Adaptive synchronization of novel chemical chaotic reactor systems of, International Journal ChemTech Research, 61, 159. ; SUNDARAPANDIAN (2011), Sliding controller design of hybrid synchronization of four - wing chaotic systems of, International Journal Soft Computing, 115, 224, doi.org/10.3923/ijscomp.2011.224.231 ; VAIDYANATHAN (2015), Adaptive control of a chemical chaotic reactor of PharmTech Research, International Journal, 54, 377. ; VAIDYANATHAN (2015), Dynamics and control of Tokamak system with symmetric and magnetically confined plasma of, International Journal ChemTech Research, 52, 795. ; VAIDYANATHAN (2015), hyperchaotic Rikitake dynamo system with hidden attractors :, European Physical Journal Special Topics, 50, 1575. ; VAIDYANATHAN (2015), Analysis control , and synchronization of a novel jerk chaotic system with two quadratic nonlinearities Mathematical, Kyungpook Journal, 29, 563, doi.org/10.5666/KMJ.2015.55.3.563 ; VAIDYATHAN (2015), - cells cellular neural network ( CNN ) attractor and its adaptive biological control of PharmTech Research, International Journal, 63, 632. ; RASAPPAN (2012), Synchronization of hyperchaotic Liu system via backstepping control with recursive feedback in Computer and, Communications Information Science, 108, 212, doi.org/10.1007/978-3-642-32112-2_26 ; VAIDYATHAN (2015), Sliding controller design for the global chaos synchronization of enzymes - substrates systems of PharmTech Research, International Journal, 71, 89. ; VAIDYATHAN (2015), Adaptive synchronization of the identical FitzHugh - Nagumo chaotic neuron models of PharmTech Research, International Journal, 74, 167. ; TIGAN (2008), Analysis of a D chaotic system Solitons and Fractals, Chaos, 11, 1315. ; PHAM (2014), Hidden hyperchaotic attractor in a novel simple memristive neural network and ,, Optoelectronics Advanced Materials Rapid Communications, 89, 1157. ; IDOWU (2009), Synchronization of chaos in nonidentical parametrically excited systems Solitons and Fractals, Chaos, 93, 2322. ; VAIDYANATHAN (2015), A novel chemical reactor system and its adaptive control of, International Journal ChemTech Research, 60, 146. ; LI (2008), A three - scroll chaotic attractor A, Physics Letters, 12, 387, doi.org/10.1016/j.physleta.2007.07.045 ; JAFARI (2013), Simple chaotic flows with a line equilibrium Solitons and Fractals, Chaos, 33, 79. ; ARNEODO (1981), Possible new strange attractors with spiral structure in, Communications Mathematical Physics, 4, 573, doi.org/10.1007/BF01209312 ; VAIDYANATHAN (2015), novel conservative chaotic system and its generalized projective synchronization via adaptive control of and, Journal Engineering Science Technology Review, 30, 52. ; VAIDYANATHAN (2015), Sliding controller design for the global chaos synchronization of forced Van der Pol chaotic oscillators of PharmTech Research, International Journal, 42, 100. ; VAIDYANATHAN (2015), Adaptive synchronization of Rikitake two - disk dynamo chaotic systems of, International Journal ChemTech Research, 47, 100. ; VAIDYANATHAN (2015), Adaptive synchronization of chemical chaotic reactors of, International Journal ChemTech Research, 59, 612. ; VAIDYANATHAN (2015), Anti - synchronization of Mathieu - Van der Pol chaotic systems via adaptive control method of, International Journal ChemTech Research, 39, 638. ; VAIDYANATHAN (2015), Adaptive control design for the anti - synchronization of novel chemical chaotic reactor systems of, International Journal ChemTech Research, 58, 654. ; VAIDYANATHAN (2015), Design and SPICE implementation of a - term novel hyperchaotic system and its synchronisation via active control of Modelling , Identification and Control, International Journal, 97, 12. ; PHAM (2016), A no - equilibrium hyperchaotic system with a cubic nonlinear term, Optik, 37, 3259, doi.org/10.1016/j.ijleo.2015.12.048 ; CAI (2007), Chaos synchronization of a new chaotic system via nonlinear control of Uncertain Systems, Journal, 10, 235. ; SUNDARAPANDIAN (2011), Anti - synchronization of Lü and Pan chaotic systems by adaptive nonlinear control of Scientific Research, European Journal, 98, 94. ; VAIDYANATHAN (2015), Integral sliding mode control design for the global chaos synchronization of identical novel chemical chaotic reactor systems of, International Journal ChemTech Research, 57, 684. ; RÖSSLER (1976), An equation for continuous chaos A, Physics Letters, 3, 397, doi.org/10.1016/0375-9601(76)90101-8 ; VOLOS (2015), Memristor A new concept in synchronization of coupled neuromorphic circuits of and, Journal Engineering Science Technology Review, 91, 157. ; VAIDYANATHAN (2015), Analysis adaptive control and synchronization of a novel hyperchaotic hyperjerk system and its SPICE implementation of Control, Archives Sciences, 111, 135. ; VAIDYANATHAN (2015), A novel coupled Van der Pol conservative chaotic system and its adaptive control of PharmTech Research, International Journal, 45, 79. ; VAIDYANATHAN (2011), Hybrid synchronization of hyperchaoticWang - Chen and hyperchaotic lorenz systems by active non - linear control of Signal System Control and Engineering Application, International Journal, 94, 55. ; SAMPATH (2015), An eightterm novel four - scroll chaotic system with cubic nonlinearity and its circuit simulation of and, Journal Engineering Science Technology Review, 34, 1. ; VAIDYANATHAN (2015), hyperchaotic Rikitake dynamo system with hidden attractors :, European Physical Journal Special Topics, 104, 1575, doi.org/10.1140/epjst/e2015-02481-0 ; VOLOS (2009), Experimental study of the dynamic behavior of a double scroll circuit of Applied Functional, Journal Analysis, 85, 703. ; VAIDYATHAN (2015), Active control design for the anti - synchronization of Lotka - Volterra biological systems with four competitive species of PharmTech Research, International Journal, 75, 58. ; PEHLIVAN (2014), Analysis synchronization and circuit design of a novel butterfly attractor of and, Journal Sound Vibration, 31, 5077, doi.org/10.1016/j.jsv.2014.05.025 ; PHAM (2014), Constructing a novel no - equilibrium chaotic system of and, International Journal Bifurcation Chaos, 35, 1450073, doi.org/10.1142/S0218127414500734 ; VAIDYANATHAN (2015), Anti - synchronization of Brusselator chemical reaction systems via adaptive control of, International Journal ChemTech Research, 62, 759. ; VAIDYATHAN (2015), Global chaos synchronization of the Lotka - Volterra biological systems with four competitive species via active control of PharmTech Research, International Journal, 77, 206. ; LORENZ (1963), Deterministic nonperiodic flow the, Journal of Atmospheric Sciences, 2, 130, doi.org/10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 ; SPROTT (1994), Some simple chaotic flows, Physical Review E, 5, 647, doi.org/10.1103/PhysRevE.50.R647 ; VOLOS (2013), Text encryption scheme realized with a chaotic pseudo - random bit generator of and, Journal Engineering Science Technology Review, 88, 9. ; VAIDYATHAN (2015), Synchronization of - cells cellular neural network ( CNN ) attractors via adaptive control method of PharmTech Research, International Journal, 65, 946. ; VAIDYATHAN (2015), Adaptive synchronization of generalized Lotka - Volterra threespecies biological systems of PharmTech Research, International Journal, 80, 928. ; VAIDYANATHAN (2014), Global chaos synchronization of nscroll Chua circuit and Lur e system using backstepping control design with recursive feedback for and, Arabian Journal Science Engineering, 109, 3351, doi.org/10.1007/s13369-013-0929-y ; VAIDYATHAN (2015), Adaptive chaotic synchronization of enzymes - substrates system with ferroelectric behaviour in brain waves of PharmTech Research, International Journal, 69, 964. ; SUNDARAPANDIAN (2012), Adaptive antisynchronization of Uncertain Tigan and Li Systems of and, Journal Engineering Applied Sciences, 99, 45. ; PHAM (2015), A memristor - based hyperchaotic system with hidden attractors : Dynamics , synchronization and circuital emulating of and, Journal Engineering Science Technology Review, 90, 205. ; TACHA (2016), Analysis adaptive control and circuit simulation of a novel nonlinear finance system and, Applied Mathematics Computation, 32, 200, doi.org/10.1016/j.amc.2015.12.015 ; VAIDYANATHAN (2011), Global chaos synchronization of hyperchaotic Lorenz systems by sliding mode control in Computer and, Communications Information Science, 114, 156, doi.org/10.1007/978-3-642-24055-3_16 ; VOLOS (2013), Image encryption process based on chaotic synchronization phenomena, Signal Processing, 87, 1328, doi.org/10.1016/j.sigpro.2012.11.008 ; VAIDYANATHAN (2015), Analysis adaptive control and anti - synchronization of a sixterm novel jerk chaotic system with two exponential nonlinearities and its circuit simulation of and, Journal Engineering Science Technology Review, 26, 24. ; VAIDYANATHAN (2014), Global chaos synchronisation of identical Li - Wu chaotic systems via sliding mode control of Modelling , Identification and Control, International Journal, 116, 170. ; VAIDYATHAN (2015), Global chaos synchronization of Rucklidge chaotic systems for double convection via sliding mode control of, International Journal ChemTech Research, 82, 61. ; VAIDYATHAN (2015), Anti - synchronization of the FitzHugh - Nagumo chaotic neuron models via adaptive control method of PharmTech Research, International Journal, 72, 71. ; VAIDYANATHAN (2015), Analysis properties and control of an eight - term chaotic system with an exponential nonlinearity of Modelling , Identification and Control, International Journal, 23, 164. ; SUNDARAPANDIAN (2013), Analysis and anti - synchronization of a novel chaotic system via active and adaptive controllers of and, Journal Engineering Science Technology Review, 14, 45. ; VAIDYANATHAN (2015), Synchronization of Tokamak systems with symmetric and magnetically confined plasma via adaptive control of, International Journal ChemTech Research, 51, 818.