Skip to main content
Log in

The Stability of Circulatory Systems

  • MECHANICS
  • Published:
Doklady Physics Aims and scope Submit manuscript

Abstract

The stability of linear mechanical systems in nonpotential force fields is studied. Under the presence of circulatory forces, the system is nonconservative, yet it can always be presented in a Hamiltonian form. A point where the potential energy has its maximum is an unstable equilibrium, regardless of the presence of circulatory forces.

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. O. N. Kirillov, Nonconservative Stability Problems of Modern Physics (De Gruyter, Boston, 2013)

    Book  Google Scholar 

  2. A. Wintner, Ann. Math. Pura Appl. 13 (1), 105 (1934).

    Article  Google Scholar 

  3. J. Williamson, Am. J. Math. 62, 881 (1940).

    Article  Google Scholar 

  4. A. A. Mailybaev and A. P. Seiranyan, Multiparameter Stability Problems. Theory and Applications in Mechanics (Fizmatlit, Moscow, 2009) [in Russian].

    Google Scholar 

  5. A. J. Bosch, Am. Math. Mon. 93 (6), 462–464 (1986).

    Article  Google Scholar 

  6. H. K. Wimmer, Linear Algebra Appl. 8, 337–343 (1974).

    Article  MathSciNet  Google Scholar 

  7. V. V. Kozlov and A. A. Karapetyan, Differ. Equations 41 (2), 195 (2005).

    Article  MathSciNet  Google Scholar 

  8. V. P. Palamodov, Russ. Math. Surv. 75 (3), 495 (2020).

    Article  Google Scholar 

  9. V. V. Kozlov, Regul. Chaotic Dyn. 23 (1), 26 (2018).

    Article  ADS  MathSciNet  Google Scholar 

  10. R. M. Bulatovic, Phys. Lett. A 375 (44) 3826 (2011).

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Kozlov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kozlov, V.V. The Stability of Circulatory Systems. Dokl. Phys. 65, 323–325 (2020). https://doi.org/10.1134/S1028335820090062

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1028335820090062

Keywords:

Navigation