Skip to main content
SpringerLink
Log in

Chronotopic Lyapunov analysis: II. Toward a unified approach

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

From the analyticity properties of the equation governing infinitesimal perturbations, it is conjectured that all types of Lyapunov exponents introduced in spatially extended 1D systems can be derived from a single function that we call the entropy potential. The general consequences of its very existence on the Kolmogorov-Sinai entropy of generic spatiotemporal patterns are discussed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. Lepri, A. Politi, and A. Torcini,J. Stat. Phys.,82: 1429 (1996).

    Article  Google Scholar 

  2. G. Giacomelli, S. Lepri, and A. Politi,Phys. Rev. E 51: 3939 (1995).

    Article  ADS  Google Scholar 

  3. R. J. Deissler and K. Kaneko,Phys. Lett. A 119: 397 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  4. P. Manneville,Dissipative structures and weak turbulence, Academic Press, S. Diego (1990).

    MATH  Google Scholar 

  5. M. C. Cross and P. H. Hohemberg,Rev. Mod. Phys. 65: 851 (1993).

    Article  ADS  Google Scholar 

  6. K. Kaneko,Prog. Theor. Phys. 72: 980 (1984).

    Google Scholar 

  7. I. Waller and R. Kapral,Phys. Rev. A 30: 2047 (1984).

    Article  ADS  Google Scholar 

  8. D. C. Mattis,The many-body problem, World Scientific, Singapore (1993).

  9. D. Ruelle and J. P. Eckmann,Rev. Mod. Phys. 57: 617 (1985).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  10. P. Grassberger,Physica Scripta 40: 346 (1989).

    ADS  Google Scholar 

  11. A. Politi and A. Torcini,Chaos 2: 293 (1992).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  12. T. Tèl,Phys. Rev. A 36: 1502 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  13. S. Lepri, A. Politi, and A. Torcini, unpublished.

  14. A. Pikovsky,Chaos 3: 225 (1993).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. G. Mayer-Kress and K. Kaneko,J. Stat. Phys. 54: 1489 (1989).

    Article  MathSciNet  Google Scholar 

  16. A. Torcini, P. Grassberger, and A. Politi,J. Phys. A 27: 4533 (1995).

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Fisica, Universitá di Bologna, and Istituto Nazionale di Fisica Nucleare, I-40127, Bologna, Italy

    Stefano Lepri

  2. Istituto Nazionale di Ottica, I-50125, Firenze, Italy

    Stefano Lepri & Antonio Politi

  3. Istituto Nazionale di Fisica della Materia and Istituto Nazionale di Fisica Nucleare, I-50125, Firenze, Italy

    Antonio Politi

  4. Theoretische Physik, Bergische Universität-Gesamthochshule Wuppertal, D-42097, Wuppertal, Germany

    Alessandro Torcini

Authors
  1. Stefano Lepri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Antonio Politi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Alessandro Torcini
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lepri, S., Politi, A. & Torcini, A. Chronotopic Lyapunov analysis: II. Toward a unified approach. J Stat Phys 88, 31–45 (1997). https://doi.org/10.1007/BF02508463

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02508463

Key words

Search

Navigation