Skip to main content
Log in

Impulsed oscillator and chaotic dynamics

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

Deterministic 1D chaos, that is chaos in mapsx′=F(x),xR, can represent exactly the chaotic dynamics of 1D linear oscillators subject to periodic, non-linear delayed impulses, for suitable tuning between the impulse period and the free-oscillation period.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. J. Feigenbaum:J. Stat. Phys.,19, 25 (1978).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. M. J. Feigenbaum:Los Alamos Sciences,1, 4 (1980).

    MathSciNet  Google Scholar 

  3. P. Collet andJ. P. Eckman:Iterated Maps on the Interval as Dynamical Systems (Birkhauser, Boston, Mass., 1980).

    MATH  Google Scholar 

  4. I. Gumowski andC. Mira:Dynamique Chaotique (Cepadues, Toulouse, 1980).

    MATH  Google Scholar 

  5. C. Mira:Chaotic Dynamics (World Scientific, Singapore, 1987).

    Book  MATH  Google Scholar 

  6. L. R. Devaney:An Introduction to Chaotic Dynamical Systems (Addison-Wesley, Reading, Mass., 1989).

    MATH  Google Scholar 

  7. L. Gardini:Theory Methods and Applications,23, 1039 (1994).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author of this paper has agreed to not receive the proofs for correction.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lupini, R. Impulsed oscillator and chaotic dynamics. Nuov Cim B 109, 1247–1257 (1994). https://doi.org/10.1007/BF02722836

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02722836

Keywords

Navigation