Numerical and experimental studies of attractors in memristor-based Chua’s oscillator with a line of equilibria. Noise-induced effects

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• 作者：V. Semenov ; I. Korneev ; P. Arinushkin…
• 刊名：The European Physical Journal - Special Topics
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：224
• 期：8
• 页码：1553-1561
• 全文大小：1,311 KB
• 参考文献：1.L.O. Chua, IEEE Trans. Circ. Theory 1, 507 (1971)View Article
  2.D.B. Strukov, G.S. Snider, D.R. Stewart, R.S. Williams, Nature 453, 80 (2008)ADS View Article
  3.Y.N. Joglekar, S.J. Wolf, Euro. J. Phys. 30, 661 (2009)View Article MATH
  4.E.N. Oskoee, M. Sahimi, Phys. Rev. E 83, 031105 (2011)ADS View Article
  5.L. Chua, Nanotechnology 24, 383001 (2013)ADS View Article
  6.G.A. Patterson, P.I. Fierens, A.A. Garcia, D.F. Grosz, Phys. Rev. E 87, 012128 (2013)ADS View Article
  7.Y.V. Pershin, M. Ventra, Adv. Phys. 60, 145 (2011)ADS View Article
  8.Y.V. Pershin, M. Ventra, IEEE Trans. Circ. Syst. I 57, 1857 (2010)View Article
  9.M. Itoh, L.O. Chua, Int. J. Bifurc. Chaos 18, 3183 (2008)MathSciNet View Article MATH
  10.R. Riaza, SIAM J. Appl. Math. 72, 877 (2012)MathSciNet View Article MATH
  11.V. Botta, C. Nespoli, M. Messias, Tema Tend. Mat. Apl. Comput. 12, 91 (2011)MathSciNet MATH
  12.M. Messias, C. Nespoli, V. Botta, Int. J. Bifurc. Chaos 20, 437 (2010)MathSciNet View Article MATH
  13.B. Fiedler, S. Liebscher, J.C. Alexander, J. Differencial Equ. 167, 16 (2000)MathSciNet ADS View Article MATH
  14.G.A. Leonov, N.V. Kuznetsov, V.I. Vagaitsev, Phys. Lett. A 375, 2230 (2011)MathSciNet ADS View Article
  15.G.A. Leonov, N.V. Kuznetsov, V.I. Vagaitsev, Phys. D: Nonlinear Phenom. 241, 1482 (2012)MathSciNet ADS View Article MATH
  16.G.A. Leonov, N.V. Kuznetsov, Int. J. Bifurc. Chaos 23, 1330002 (2013)MathSciNet View Article
  17.S. Jafary, D.C. Sprott, Chaos, Solitons Fractals 57, 79 (2013)ADS View Article MATH
  18.W. Horsthemke, R. Lefever, Noise-Induced Transitions, Springer Series in Synergetics (Springer, 1984)
  19.L. Arnold, Random dynamical systems, Springer Monographs in Mathematics (Springer, 2003)
  20.R. Lefever, J. Turner, Phys. Rev. Lett. 56, 2771 (1986)MathSciNet ADS View Article
  21.T. Kapitaniak, J. Sound Vibr. 102, 440 (1985)MathSciNet ADS View Article
  22.I. Bashkirtseva, L. Ryashko, H. Schurz, Chaos, Solitons Fractals 39, 72 (2009)MathSciNet ADS View Article MATH
  23.A. Zakharova, T. Vadivasova, V. Anishchenko, A. Koseska, J. Kurths, Phys. Rev. E 81, 011106 (2010)ADS View Article
  24.L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, S. Santucci, Phys. Rev. Lett. 62, 349 (1989)ADS View Article
  25.V. Anishchenko, A. Neiman, F. Moss, L. Schimansky-Geier, Physics-Uspekhi 42, 7 (1999)ADS View Article
  26.A. Pikovsky, J. Kurths, Phys. Rev. Lett. 78, 775 (1997)MathSciNet ADS View Article MATH
  27.B. Lindner, L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999)ADS View Article
  28.B. Shulgin, A. Neiman, V. Anishchenko, Phys. Rev. Lett. 75, 4157 (1995)ADS View Article
  29.A. Silchenko, T. Kapitaniak, V. Anishchenko, Phys. Rev. E 59, 1593 (1999)ADS View Article
  30.S. Han, T. Yim, D. Postnov, O. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999)ADS View Article
  31.P.E. Kloeden, E. Platen, H. Schurz, Int. J. Bifurc. Chaos 1, 227 (1991)MathSciNet View Article
  
• 作者单位：V. Semenov (1)
  I. Korneev (1)
  P. Arinushkin (1)
  G. Strelkova (1)
  T. Vadivasova (1)
  V. Anishchenko (1)
  
  1. Department of Physics, Saratov State University, Astrakhanskaya Str. 83, 410012, Saratov, Russia
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Condensed Matter
  Materials Science
  Atoms, Molecules, Clusters and Plasmas
  Electromagnetism, Optics and Lasers
  Measurement Science and Instrumentation
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1951-6401

文摘

The intrinsic features of systems with a line of equilibria are analyzed by studying of memristor-based Chua’s oscillator. The analog modeling of the system is carried out together with its numerical simulation. The characteristics of stochastic oscillations in the system under study are explored in the presence of noise. The issues concerning the physical realization of a system with a line of equilibria are also considered.