Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Erschienen in:
Bifurcation Analysis and Chaotic Behaviors of Fractional-Order Singular Biological Systems Kapitel lesen Erstes Kapitel lesen

2018 | OriginalPaper | Buchkapitel

Analysis, Circuit Design and Synchronization of a New Hyperchaotic System with Three Quadratic Nonlinearities

verfasst von : A. A. Oumate, S. Vaidyanathan, K. Zourmba, B. Gambo, A. Mohamadou

Erschienen in: Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Hyperchaos has important applications in many branches of science and engineering. In this work, we propose a new 4-D hyperchaotic system with three quadratic nonlinearities by modifying the dynamics of hyperchaotic Wang system (Wang et al. 2010). The proposed new hyperchaotic system has a unique equilibrium at the origin, which is a saddle point and unstable. Thus, the new hyperchaotic system exhibits self-excited hyperchaotic attractor. We describe qualitative properties of the new hyperchaotic system such as symmetry, Lyapunov exponents, Kaplan-Yorke dimension, etc. Furthermore, an active control method is derived for the synchronization of two identical new hyperchaotic systems. The circuit experimental results of the new hyperchaotic system show agreement with the numerical simulations.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Jetzt informieren
Vorheriges Kapitel Synchronization in Kuramoto Oscillators Under Single External Oscillator
Nächstes Kapitel A New Chaotic Finance System: Its Analysis, Control, Synchronization and Circuit Design
Literatur
Ahmad M, Shamsi U, Khan IR (2015) An enhanced image encryption algorithm using fractional chaotic systems. Procedia Comput Sci 57:852–859CrossRef
Akgul A, Moroz I, Pehlivan I, Vaidyanathan S (2016) A new four-scroll chaotic attractor and its engineering applications. Optik 127(13):5491–5499CrossRef
Azar AT, Vaidyanathan S (2015) Chaos modeling and control systems design. Springer, Berlin, GermanyCrossRefMATH
Azar AT, Vaidyanathan S (2016) Advances in chaos theory and intelligent control. Springer, Berlin, GermanyCrossRefMATH
Azar AT, Vaidyanathan S (2017) Fractional order control and synchronization of chaotic systems. Springer, Berlin, GermanyCrossRefMATH
Borne B, Benjerab M (2008) On the representation and the stability study of the large scale systems. Int J Comput Commun Syst 3:55–66
Fotsin H, Bowong S (2006) Adaptive control and synchronization of chaotic systems consisting of Van der Pol oscillators coupled to linear oscillators. Chaos Solitons Fractals 27:822–835CrossRefMATH
Hammami S, Benrejeb M, Feki M, Borne P (2010) Feedback control design for Rössler and Chen chaotic systems antisynchronization. Phys Lett A 374:2835–2840CrossRefMATH
Jafarov SM, Zeynalov ER, Mustafayeva AM (2016) Synthesis of the optimal fuzzy T-S controller for the mobile robot using the chaos theory. Procedia Comput Sci 102:302–308CrossRef
Karthikeyan R, Sundarapandian V (2014) Hybrid chaos synchronization of four-scroll systems via active control. J Electr Eng 65(2):97–103
Kocarev L, Parlitz U (1996) Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems. Phys Rev Lett 76:1816–1819CrossRef
Lakhekar GV, Waghmare LM, Vaidyanathan S (2016) Diving autopilot design for underwater vehicles using an adaptive neuro-fuzzy sliding mode controller. In: Vaidyanathan S, Volos C (eds) Advances and applications in nonlinear control systems. Springer, Berlin, Germany, pp 477–503CrossRef
Leonov G, Kuznetsov N, Mokaev T (2015) Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion. Eur Phys J: Spec Top 224:1421–1458
Li GH (2005) Synchronization and anti-synchronization of Colpitts oscillators using active control. Chaos Solitons Fractals 26:87–93CrossRefMATH
Pehlivan I, Moroz IM, Vaidyanathan S (2014) Analysis, synchronization and circuit design of a novel butterfly attractor. J Sound Vib 333(20):5077–5096CrossRef
Pham VT, Volos CK, Vaidyanathan S, Le T, Vu VY (2015) A memristor-based hyperchaotic system with hidden attractors: dynamics, synchronization and circuital emulating. J Eng Sci Technol Rev 8(2):205–214
Pham VT, Jafari S, Volos C, Giakoumis A, Vaidyanathan S, Kapitaniak T (2016a) A chaotic system with equilibria located on the rounded square loop and its circuit implementation. IEEE Trans Circuits Syst-II: Express Br 63(9):878–882CrossRef
Pham VT, Vaidyanathan S, Volos CK, Jafari S, Kuznetsov NV, Hoang TM (2016b) A novel memristive time-delay chaotic system with equilibrium points. Eur Phys J: Spec Top 225(1):127–136
Mg R, Arkady SP, Jürgen K (1996) Phase synchronization of chaotic oscillators. Phys Rev Lett 76:1804–1807CrossRef
Sadeghpour M, Khodabakhsh M, Salarieh H (2012) Intelligent control of chaos using linear feedback controller and neural network identifier. Commun Nonlinear Sci Numer Simul 17(12):4731–4739CrossRefMATH
Sarasu P, Sundarapandian V (2011a) Active controller design for generalized projective synchronization of four-scroll chaotic systems. Int J Syst Signal Control Eng Appl 4(2):26–33
Sarasu P, Sundarapandian V (2011b) The generalized projective synchronization of hyperchaotic Lorenz and hyperchaotic Qi systems via active control. Int J Soft Comput 6(5):216–223CrossRef
Sarasu P, Sundarapandian V (2012) Generalized projective synchronization of three-scroll chaotic systems via adaptive control. Eur J Sci Res 72(4):504–522
Sundarapandian V (2013) Analysis and anti-synchronization of a novel chaotic system via active and adaptive controllers. J Eng Sci Technol Rev 6(4):45–52
Sundarapandian V, Karthikeyan R (2012) Adaptive anti-synchronization of uncertain Tigan and Li systems. J Eng Appl Sci 7(1):45–52MATH
Sundarapandian V, Pehlivan I (2012) Analysis, control, synchronization and circuit design of a novel chaotic system. Math Comput Model 55:1904–1915MathSciNetCrossRefMATH
Taherion IS, Lai YC (1999) Observability of lag synchronization of coupled chaotic oscillators. Phys Rev E 59:6247–6250CrossRef
Tirandaz H, Hajipour A (2017) Adaptive synchronization and anti-synchronization of TSUCS and Lü unified chaotic systems with unknown parameters. Optik 130:543–549CrossRef
Vaidyanathan S (2014) Global chaos synchronisation of identical Li-Wu chaotic systems via sliding mode control. Int J Model Identif Control 22(2):170–177MathSciNetCrossRef
Vaidyanathan S (2015a) 3-cells cellular neural network (CNN) attractor and its adaptive biological control. Int J PharmTech Res 8(4):632–640
Vaidyanathan S (2015b) A novel chemical chaotic reactor system and its adaptive control. Int J ChemTech Res 8(7):146–158
Vaidyanathan S (2015c) Adaptive control of a chemical chaotic reactor. Int J PharmTech Res 8(3):377–382MathSciNet
Vaidyanathan S (2015d) Anti-synchronization of brusselator chemical reaction systems via integral sliding mode control. Int J ChemTech Res 8(11):700–713MathSciNet
Vaidyanathan S (2015e) Anti-synchronization of chemical chaotic reactors via adaptive control method. Int J ChemTech Res 8(8):73–85MathSciNet
Vaidyanathan S (2015f) Global chaos control of Mathieu-Van der Pol system via adaptive control method. Int J ChemTech Res 8(9):406–417
Vaidyanathan S (2015g) Hybrid chaos synchronization of FitzHugh-Nagumo neuron models via adaptive control method. Int J PharmTech Res 8(8):48–60MathSciNet
Vaidyanathan S (2015h) Hybrid chaos synchronization of Rikitake two-disk dynamo chaotic systems via adaptive control method. Int J ChemTech Res 8(11):12–25MathSciNet
Vaidyanathan S (2015i) Output regulation of the forced Van der Pol chaotic oscillator via adaptive control method. Int J PharmTech Res 8(6):106–116
Vaidyanathan S (2015j) Synchronization of 3-cells cellular neural network (CNN) attractors via adaptive control method. Int J PharmTech Res 8(5):946–955
Vaidyanathan S (2017) A new 3-D jerk chaotic system with two cubic nonlinearities and its adaptive backstepping control. Arch Control Sci 27(3):365–395MathSciNet
Vaidyanathan S, Pakiriswamy S (2016) A five-term 3-D novel conservative chaotic system and its generalized projective synchronization via adaptive control method. Int J Control Theory Appl 9(1):61–78MATH
Vaidyanathan S, Rasappan S (2014) Global chaos synchronization of n-scroll Chua circuit and Lur’e system using backstepping control design with recursive feedback. Arab J Sci Eng 39(4):3351–3364CrossRef
Vaidyanathan S, Rhif A (2017) A novel four-leaf chaotic system, its control and synchronisation via integral sliding mode control. Int J Model Identif Control 28(1):28–39CrossRef
Vaidyanathan S, Sampath S (2012) Anti-synchronization of four-wing chaotic systems via sliding mode control. Int J Autom Comput 9(3):274–279CrossRef
Vaidyanathan S, Sampath S (2017) Anti-synchronisation of identical chaotic systems via novel sliding control and its application to a novel chaotic system. Int J Model Identif Control 27(1):3–13CrossRef
Vaidyanathan S, Volos C (2016a) Advances and applications in chaotic systems. Springer, Berlin, GermanyCrossRefMATH
Vaidyanathan S, Volos C (2016b) Advances and applications in nonlinear control systems. Springer, Berlin, GermanyCrossRefMATH
Vaidyanathan S, Volos C (2017) Advances in memristors, memristive devices and systems. Springer, Berlin, GermanyCrossRef
Vaidyanathan S, Sampath S, Azar AT (2015a) Global chaos synchronisation of identical chaotic systems via novel sliding mode control method and its application to Zhu system. Int J Model Identif Control 23(1):92–100CrossRef
Vaidyanathan S, Volos CK, Kyprianidis IM, Stouboulos IN, Pham VT (2015b) Analysis, adaptive control and anti-synchronization of a six-term novel jerk chaotic system with two exponential nonlinearities and its circuit simulation. J Eng Sci Technol Rev 8(2):24–36
Volos C, Maaita JO, Vaidyanathan S, Pham VT, Stouboulos I, Kyprianidis I (2017) A novel four-dimensional hyperchaotic four-wing system with a saddle-focus equilibrium. IEEE Trans Circuits Syst-II: Express Br 64(3):339–343CrossRef
Wang B, Zhong SM, Dong XC (2016) On the novel chaotic secure communication scheme design. Commun Nonlinear Sci Numer Simul 39:108–117MathSciNetCrossRef
Xu G, Xiu C, Liu F, Zang Y (2017) Secure communication based on the synchronous control of hysteretic chaotic neuron. Neurocomputing 227:108–112CrossRef
Yu F, Li P, Gu K, Yin B (2016) Research progress of multi-scroll chaotic oscillators based on current-mode devices. Optik 127(13):5486–5490CrossRef
Metadaten
Titel
Analysis, Circuit Design and Synchronization of a New Hyperchaotic System with Three Quadratic Nonlinearities
verfasst von
A. A. Oumate
S. Vaidyanathan
K. Zourmba
B. Gambo
A. Mohamadou
Copyright-Jahr
2018
Buch
Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors

Print ISBN: 978-3-319-71242-0

Electronic ISBN: 978-3-319-71243-7

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-71243-7_11