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The European Physical Journal Special Topics

, Volume 223, Issue 8, pp 1531–1539 | Cite as

Controlling dynamical behavior of drive-response system through linear augmentation

  • Pooja Rani Sharma
  • Anupam Singh
  • Awadhesh Prasad
  • Manish Dev Shrimali
Regular Article Synchronization of Systems and Networks for Communication
Part of the following topical collections:
  1. Chaos, Cryptography and Communications

Abstract

Unidirectionally coupled chaotic systems give rise to driver induced bistability in response system under certain parameters setting. Such a system is studied here with augmented dynamics. A linear augmentation provides a controlled dynamical behavior of response system in two different ways: augmented drive system brings the stabilization of the steady state where as augmented response system is able to control the bistability. We present a detailed analysis of Lorenz–Rössler system with linear augmentation for controlled dynamical behavior.

Keywords

Response System Coupling Strength European Physical Journal Special Topic Drive System Control Behavior 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    A.S. Pikovsky, M.G. Rosenblum, J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001)Google Scholar
  2. 2.
    H. Fujisaka, T. Yamada, Prog. Theor. Phys. 69, 32 (1983)zbMATHMathSciNetADSCrossRefGoogle Scholar
  3. 3.
    E. Ott, C. Grebogi, J.A. Yorke, Phys. Rev. Lett. 64, 1196 (1990)zbMATHMathSciNetADSCrossRefGoogle Scholar
  4. 4.
    E.R. Rosa, E. Ott, M.H. Hess, Phys. Rev. Lett. 80, 1642 (1998)ADSCrossRefGoogle Scholar
  5. 5.
    I.B. Schwartz, T.W. Carr, I. Triandaf, Chaos 7, 664 (1997)zbMATHMathSciNetADSCrossRefGoogle Scholar
  6. 6.
    I. Triandaf, I.B. Schwartz, Phys. Rev. E 62, 3529 (2000)ADSCrossRefGoogle Scholar
  7. 7.
    S. Sinha, R. Ramaswamy, J.S. Rao, Physica D 43, 118 (1990)zbMATHMathSciNetADSCrossRefGoogle Scholar
  8. 8.
    K. Kaneko, Phys. Rev. Lett. 78, 2736 (1997)ADSCrossRefGoogle Scholar
  9. 9.
    U. Feudel, C. Grebogi, Chaos 7, 597 (1997)zbMATHMathSciNetADSCrossRefGoogle Scholar
  10. 10.
    A.N. Pisarchik, B.K. Goswami, Phys. Rev. Lett. 84, 1423 (2000)ADSCrossRefGoogle Scholar
  11. 11.
    A.N. Pisarchik, B.F. Kuntsevich, IEEE J. Q. Elec. 38, 1594 (2002)ADSCrossRefGoogle Scholar
  12. 12.
    A.N. Pisarchik, Y.O. Barmenkov, A.V. Kir’yanov, Phys. Rev. E 68, 066211 (2003)ADSCrossRefGoogle Scholar
  13. 13.
    A.N. Pisarchik, Phys. Lett. A 318, 65 (2003)zbMATHMathSciNetADSCrossRefGoogle Scholar
  14. 14.
    M. Aggrawal, A. Prasad, R. Ramaswamy, Phys. Rev. E 87, 042909 (2013)ADSCrossRefGoogle Scholar
  15. 15.
    P.R. Sharma, A. Sharma, M.D. Shrimali, A. Prasad, Phys. Rev. E 83, 067201 (2011)ADSCrossRefGoogle Scholar
  16. 16.
    P.R. Sharma, M.D. Shrimali, A. Prasad, U. Feudel, Phys. Lett. A 377, 2329 (2013)MathSciNetADSCrossRefGoogle Scholar
  17. 17.
    S. Sinha, R. Ramaswamy, J.S. Rao, Physica D 43, 118 (1990)zbMATHMathSciNetADSCrossRefGoogle Scholar
  18. 18.
    K. Bar-Eli, Physica D 14, 242 (1985)MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    D.V. Reddy, A. Sen, G.L. Johnston, Phys. Rev. Lett. 80, 5109 (1998)ADSCrossRefGoogle Scholar
  20. 20.
    F.M. Atay, Phys. Rev. Lett. 91, 094101 (2003)ADSCrossRefGoogle Scholar
  21. 21.
    G. Saxena, A. Prasad, R. Ramaswamy, Phys. Rev. E 82, 017201 (2010)ADSCrossRefGoogle Scholar
  22. 22.
    R. Karnatak, R. Ramaswamy, A. Prasad, Phys. Rev. E 76, 035201 (2007)ADSCrossRefGoogle Scholar
  23. 23.
    A. Prasad, M. Dhamala, B.M. Adhikari, R. Ramaswamy, Phys. Rev. E 81, 027201 (2010)ADSCrossRefGoogle Scholar
  24. 24.
    A. Prasad, Chaos, Solitons / Fractals 43, 42 (2010)zbMATHMathSciNetADSCrossRefGoogle Scholar
  25. 25.
    P.R. Sharma, P. Somani, M.D. Shrimali, Phys. Lett. A 377, 367 (2013)ADSCrossRefGoogle Scholar
  26. 26.
    F.R. Ruiz–Oliveras, A.N. Pisarchik, Phys. Rev. E 79, 016202 (2009)ADSCrossRefGoogle Scholar
  27. 27.
    Z. Wang, A.-X. Chen, Y. Bai, W.-X. Yang, R.-K. Lee, J. Opt. Soc. Am. B 29, 2891 (2012)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences and Springer 2014

Authors and Affiliations

  • Pooja Rani Sharma
    • 1
    • 3
  • Anupam Singh
    • 1
  • Awadhesh Prasad
    • 2
  • Manish Dev Shrimali
    • 3
  1. 1.Department of PhysicsThe LNM Institute of Information TechnologyJaipurIndia
  2. 2.Department of Physics and AstrophysicsDelhi UniversityDelhiIndia
  3. 3.Department of PhysicsCentral University of RajasthanAjmerIndia

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