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:
A Novel Design Approach of a Nonlinear Resistor Based on a Memristor Emulator Kapitel lesen Erstes Kapitel lesen

2016 | OriginalPaper | Buchkapitel

Dynamics, Synchronization and SPICE Implementation of a Memristive System with Hidden Hyperchaotic Attractor

verfasst von : Viet-Thanh Pham, Sundarapandian Vaidyanathan, Christos K. Volos, Thang Manh Hoang, Vu Van Yem

Erschienen in: Advances in Chaos Theory and Intelligent Control

Verlag: Springer International Publishing

Einloggen

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

search-config
loading …

Abstract

The realization of memristor in nanoscale size has received considerate attention recently because memristor can be applied in different potential areas such as spiking neural network, high-speed computing, synapses of biological systems, flexible circuits, nonvolatile memory, artificial intelligence, modeling of complex systems or low power devices and sensing. Interestingly, memristor has been used as a nonlinear element to generate chaos in memristive system. In this chapter, a new memristive system is proposed. The fundamental dynamics properties of such memristive system are discovered through equilibria, Lyapunov exponents, and Kaplan–York dimension. Especially, hidden attractor and hyperchaos can be observed in this new system. Moreover, synchronization for such system is studied and simulation results are presented showing the accuracy of the introduced synchronization scheme. An electronic circuit modelling such hyperchaotic memristive system is also reported to verify its feasibility.

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 A Novel Design Approach of a Nonlinear Resistor Based on a Memristor Emulator
Nächstes Kapitel Synchronization of Fractional Chaotic and Hyperchaotic Systems Using an Extended Active Control
Literatur
1.
Lorenz EN (1963) Deterministic non-periodic flow. J Atmos Sci 20:130–141CrossRef
2.
Azar AT, Vaidyanathan S (2015) Chaos modeling and control systems design. Springer, Germany
3.
Azar AT, Vaidyanathan S (2015) Computational intelligence applications in modeling and control. Springer, Germany
4.
Azar AT, Vaidyanathan S (2015) Handbook of research on advanced intelligent control engineering and automation. IGI Global, USA
5.
6.
Chen GR (1999) Controlling chaos and bifurcations in engineering systems. CRC Press, Boca Raton
7.
Sprott JC (2003) Chaos and times-series analysis. Oxford University Press, OxfordMATH
8.
Strogatz SH (1994) Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering. Perseus Books, Massachusetts
9.
Yalcin ME, Suykens JAK, Vandewalle J (2005) Cellular neural networks, multi-scroll chaos and synchronization. World Scientific, SingaporeMATH
10.
Rössler OE (1976) An equation for continuous chaos. Phys Lett A 57:397–398CrossRef
11.
12.
13.
Vaidyanathan S (2013) A new six-term 3-D chaotic system with an exponential nonlineariry. Far East J Math Sci 79:135–143MATH
14.
Barnerjee T, Biswas D, Sarkar BC (2012) Design and analysis of a first order time-delayed chaotic system. Nonlinear Dyn 70:721–734MathSciNetCrossRef
15.
Pham V-T, Volos C, Vaidyanathan S (2015b) Multi-scroll chaotic oscillator based on a first-order delay differential equation. In: Azar AT, Vaidyanathan S (eds) Chaos modelling and control systems design, vol 581., Studies in computational intelligenceSpringer, Germany, pp 59–72
16.
Vaidyanathan S, Azar AT (2015b) Analysis, control and synchronization of a nine-term 3-D novel chaotic system. In: Azar AT, Vaidyanathan S (eds) Chaos modelling and control systems design, vol 581., Studies in computational intelligenceSpringer, Germany, pp 19–38
17.
Yalcin ME, Suykens JAK, Vandewalle J (2004) True random bit generation from a double-scroll attractor. IEEE Trans Circuits Syst I Regul Papers 51:1395–1404MathSciNetCrossRef
18.
Volos CK, Kyprianidis IM, Stouboulos IN (2012) A chaotic path planning generator for autonomous mobile robots. Robot Auto Syst 60:651–656CrossRef
19.
Hoang TM, Nakagawa M (2008) A secure communication system using projective-lag and/or projective-anticipating synchronizations of coupled multidelay feedback systems. Chaos Solitions Fractals 38:1423–1438CrossRef
20.
21.
Vaidyanathan S, Azar AT (2015a) Analysis and control of a 4-D novel hyperchaotic system. In: Azar AT, Vaidyanathan S (eds) Chaos modeling and control systems design, vol 581., Studies in computational intelligenceSpringer, Germany, pp 19–38
22.
Sadoudi S, Tanougast C, Azzaz MS, Dandache A (2013) Design and FPGA implementation of a wireless hyperchaotic communication system for secure realtime image transmission. EURASIP J Image Video Process 943:1–18
23.
Udaltsov VS, Goedgebuer JP, Larger L, Cuenot JB, Levy P, Rhodes WT (2003) Communicating with hyperchaos: the dynamics of a DNLF emitter and recovery of transmitted information. Optics Spectrosc 95:114–118CrossRef
24.
Grassi G, Mascolo S (1999) A system theory approach for designing cryptosystems based on hyperchaos. IEEE Trans Cir Sys I: Fund Theory Appl 46:1135–1138CrossRefMATH
25.
Huang Y, Yang X (2006) Hyperchaos and bifurcation in a new class of four-dimensional hopfield neural networks. Neurocomputing 69:1787–1795CrossRef
26.
Vicente R, Dauden J, Colet P, Toral R (2005) Analysis and characterization of the hyperchaos generated by a semiconductor laser subject to a delayed feedback loop. IEEE J Quantum Electr 41:541–548CrossRef
27.
Buscarino A, Fortuna L, Frasca M, Gambuzza LV (2012) A chaotic circuit based on Hewlett-Packard memristor. Chaos 22:023136
28.
Fitch AL, Yu D, Iu HHC, Sreeram V (2012) Hyperchaos in an memristor-based modified canonical chua’s circuit. Int J Bif Chaos 22:1250133–1250138CrossRefMATH
29.
Buscarino A, Fortuna L, Frasca M, Gambuzza LV (2012) A gallery of chaotic oscillators based on hp memristor. Int J Bif Chaos 22:1330014–1330015MathSciNetCrossRefMATH
30.
Li Q, Hu S, Tang S, Zeng G (2014) Hyperchaos and horseshoe in a 4D memristive system with a line of equilibria and its implementation. Int J Cir Theory Appl 42:1172–1188CrossRef
31.
Li Q, Zeng H, Li J (2015) Hyperchaos in a 4D memristive circuit with infinitely many stable equilibria. Nonlinear Dyn 79:2295–2308MathSciNetCrossRef
32.
Pham VT, Volos CK, Vaidyanathan S, Le TP, Vu VY (2015c) A memristor-based hyperchaotic system with hidden attractors: dynamics, sychronization and circuital emulating. J Eng Sci Tech Rev 8:205–214
33.
Leonov GA, Kuznetsov NV (2013) Hidden attractors in dynamical systems: from hidden oscillation in Hilbert-Kolmogorov, Aizerman and Kalman problems to hidden chaotic attractor in Chua circuits. Int J Bifurc Chaos 23:1330002MathSciNetCrossRefMATH
34.
Leonov GA, Kuznetsov NV, Kuznetsova OA, Seldedzhi SM, Vagaitsev VI (2011) Hidden oscillations in dynamical systems. Trans Syst Contr 6:54–67
35.
36.
Kuznetsov NV, Leonov GA, Seledzhi SM (2011) Hidden oscillations in nonlinear control systems. IFAC Proc 18:2506–2510
37.
Pham V-T, Jafari S, Volos C, Wang X, Golpayegani SMRH (2014a) Is that really hidden? The presence of complex fixed-points in chaotic flows with no equilibria. Int J Bifur Chaos 24:1450146CrossRefMATH
38.
Pham V-T, Volos CK, Jafari S, Wei Z, Wang X (2014b) Constructing a novel no-equilibrium chaotic system. Int J Bifurc Chaos 24:1450073MathSciNetCrossRefMATH
39.
Sharma PR, Shrimali MD, Prasad A, Kuznetsov NV, Leonov GA (2015) Control of multistability in hidden attractors. Eur Phys J Special Topics 224:1485–1491CrossRef
40.
Leonov GA, Kuznetsov NV, Vagaitsev VI (2012) Hidden attractor in smooth Chua system. Phys D 241:1482–1486
41.
Leonov GA, Kuznetsov NV, Kiseleva MA, Solovyeva EP, Zaretskiy AM (2014) Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor. Nonlinear Dyn 77:277–288CrossRef
42.
Leonov GA, Kuznetsov NV (2011) Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems. IFAC Proc 18:2494–2505
43.
Brezetskyi S, Dudkowski D, Kapitaniak T (2015) Rare and hidden attractors in van der pol-duffing oscillators. Eur Phys J Special Topics 224:1459–1467CrossRef
44.
Jafari S, Sprott JC, Nazarimehr F (2015) Recent new examples of hidden attractors. Eur Phys J Special Topics 224:1469–1476CrossRef
45.
Shahzad M, Pham VT, Ahmad MA, Jafari S, Hadaeghi F (2015) Synchronization and circuit design of a chaotic system with coexisting hidden attractors. Eur Phys J Special Topics 224:1637–1652CrossRef
46.
Sprott JC (2015) Strange attractors with various equilibrium types. Eur Phys J Special Topics 224:1409–1419CrossRef
47.
Vaidyanathan S, Volos CK, Pham VT (2015c) Analysis, control, synchronization and spice implementation of a novel 4-d hyperchaotic rikitake dynamo system without equilibrium. J Eng Sci Tech Rev 8:232–244
48.
Vaidyanathan S, Pham VT, Volos CK (2015b) A 5-d hyperchaotic rikitake dynamo system with hidden attractors. Eur Phys J Special Topics 224:1575–1592CrossRef
49.
Pham VT, Vaidyanathan S, Volos CK, Jafari S (2015a) Hidden attractors in a chaotic system with an exponential nonlinear term. Eur Phys J Special Topics 224:1507–1517CrossRef
50.
Leonov GA, Kuznetsov NV (2011) Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems. Dokl Math 84:475–481
51.
Leonov GA, Kuznetsov NV, Vagaitsev VI (2011) Localization of hidden Chua’s attractors. Phys Lett A 375:2230–2233
52.
Bao B, Liu Z, Xu B (2010) Dynamical analysis of memristor chaotic oscillator. Acta Physica Sinica 59:3785–3793
53.
Muthuswamy B (2010) Implementing memristor based chaotic circuits. Int J Bif Chaos 20:1335–1350CrossRefMATH
54.
Sprott JC (2010) Elegant chaos: algebraically simple chaotic flows. World Scientific, SingaporeCrossRefMATH
55.
Wolf A, Swift JB, Swinney HL, Vastano JA (1985) Determining Lyapunov exponents from a time series. Phys D 16:285–317
56.
Frederickson P, Kaplan JL, Yorke ED, York J (1983) The lyapunov dimension of strange attractors. J Differ Equ 49:185–207CrossRefMATH
57.
58.
Fortuna L, Frasca M (2007) Experimental synchronization of single-transistor-based chaotic circuits. Chaos 17:043118-1–043118-5MathSciNetCrossRefMATH
59.
Kapitaniak T (1994) Synchronization of chaos using continuous control. Phys Rev E 50:1642–1644
60.
61.
Buscarino A, Fortuna L, Frasca M (2009) Experimental robust synchronization of hyperchaotic circuits. Phys D 238:1917–1922CrossRefMATH
62.
Gamez-Guzman L, Cruz-Hernandez C, Lopez-Gutierrez R, Garcia-Guerrero EE (2009) Synchronization of Chua’s circuits with multi-scroll attractors: application to communication. Commun Nonlinear Sci Numer Simul 14:2765–2775CrossRef
63.
Karthikeyan R, Vaidyanathan S (2014) Hybrid chaos synchronization of four-scroll systems via active control. J Electr Eng 65:97–103
64.
Srinivasan K, Senthilkumar DV, Murali K, Lakshmanan M, Kurths J (2011) Synchronization transitions in coupled time-delay electronic circuits with a threshold nonlinearity. Chaos 21:023119CrossRefMATH
65.
Vaidyanathan S (2014) Analysis and adaptive synchronization of eight-term novel 3-D chaotic system with three quadratic nonlinearities. Eur Phys J Special Topics 223:1519–1529CrossRef
66.
Vaidyanathan S, Azar AT (2015c) Anti-synchronization of identical chaotic systems using sliding mode control and an application to Vaidhyanathan-Madhavan chaotic systems. Stud Comput Intell 576:527–547CrossRef
67.
Vaidyanathan S, Azar AT (2015d) Hybrid synchronization of identical chaotic systems using sliding mode control and an application to Vaidhyanathan chaotic systems. Stud Comput Intell 576:549–569CrossRef
68.
Vaidyanathan S, Idowu BA, Azar AT (2015a) Backstepping controller design for the global chaos synchronization of Sprott’s jerk systems. Stud Comput Intell 581:39–58CrossRef
69.
Zhu Q, Azar AT (2015) Complex system modelling and control through intelligent soft computations. Springer, GermanyCrossRefMATH
70.
Woafo P, Kadji HGE (2004) Synchronized states in a ring of mutually coupled self-sustained electrical oscillators. Phys Rev E 69:046206CrossRef
71.
Stefanski A, Perlikowski P, Kapitaniak T (2007) Ragged synchronizability of coupled oscillators. Phys Rev E 75:016210MathSciNetCrossRef
72.
Volos CK, Kyprianidis IM, Stouboulos IN (2011) Various synchronization phenomena in bidirectionally coupled double scroll circuits. Commun Nonlinear Sci Numer Simul 71:3356–3366MathSciNetCrossRef
73.
Aguilar-Lopez R, Martinez-Guerra R, Perez-Pinacho C (2014) Nonlinear observer for synchronization of chaotic systems with application to secure data transmission. Eur Phys J Special Topics 223:1541–1548CrossRef
74.
Rosenblum MG, Pikovsky AS, Kurths J (1997) From phase to lag synchronization in coupled chaotic oscillators. Phys Rev Lett 78:4193–4196CrossRefMATH
75.
Akopov A, Astakhov V, Vadiasova T, Shabunin A, Kapitaniak T (2005) Frequency synchronization in clusters in coupled extended systems. Phys Lett A 334:169–172CrossRefMATH
76.
Hoang TM, Nakagawa M (2007) Anticipating and projective–anticipating synchronization of coupled multidelay feedback systems. Phys Lett A 365:407–411
77.
Vaidyanathan S (2012) Anti-synchronization of four-wing chaotic systems via sliding mode control. Int J Auto Comput 9:274–279CrossRef
78.
Vaidyanathan S, Volos C, Pham VT, Madhavan K, Idowo BA (2014) Adaptive backstepping control, synchronization and circuit simualtion of a 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities. Arch Cont Sci 33:257–285MATH
79.
Khalil H (2002) Nonlinear systems. Prentice Hall, New JerseyMATH
80.
81.
Barakat M, Mansingka A, Radwan AG, Salama KN (2013) Generalized hardware post processing technique for chaos-based pseudorandom number generators. ETRI J 35:448–458CrossRef
82.
Volos CK, Kyprianidis IM, Stouboulos IN (2013) Image encryption process based on chaotic synchronization phenomena. Signal Process 93:1328–1340CrossRef
83.
Sundarapandian V, Pehlivan I (2012) Analysis, control, synchronization, and circuit design of a novel chaotic system. Math Comp Model 55:1904–1915MathSciNetCrossRefMATH
84.
Bouali S, Buscarino A, Fortuna L, Frasca M, Gambuzza LV (2012) Emulating complex business cycles by using an electronic analogue. Nonlinear Anal Real World Appl 13:2459–2465
85.
Fortuna L, Frasca M, Xibilia MG (2009) Chua’s circuit implementation: yesterday, today and tomorrow. World Scientific, Singapore
86.
Tetzlaff R (2014) Memristors and memristive systems. Springer, New YorkCrossRef
Metadaten
Titel
Dynamics, Synchronization and SPICE Implementation of a Memristive System with Hidden Hyperchaotic Attractor
verfasst von
Viet-Thanh Pham
Sundarapandian Vaidyanathan
Christos K. Volos
Thang Manh Hoang
Vu Van Yem
Copyright-Jahr
2016
Buch
Advances in Chaos Theory and Intelligent Control

Print ISBN: 978-3-319-30338-3

Electronic ISBN: 978-3-319-30340-6

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-319-30340-6_2