Skip to main content
Log in

Conservation laws for dynamical systems in Poincaré-Četaev variables

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

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.

References

  1. Candotti, E., C. Palmieri & B. Vitale: On the Inversion of Noether's Theorem in Classical Mechanics, Amer. J. Phys. 40, 424–429 (1972).

    Google Scholar 

  2. Djukic, Dj.: A Procedure for Finding First Integrals of Mechanical Systems with Gauge-Variant Lagrangians, Internal. J. Non-Linear Mech. 8, 479–488 (1973).

    Google Scholar 

  3. Djukic, S.Dj.: Conservation Laws in Classical Mechanics for Quasi-Coordinates, Arch. Rational Mech. Anal. 56, 79–98 (1974).

    Google Scholar 

  4. Djukic, S.Dj.: A New First Integral Corresponding to Lyapunov's Function for a Pendulum of Variable Length, ZAMP. 25, 532 (1974).

    Google Scholar 

  5. Djukic, S.Dj.: A Contribution to the Generalized Noether's Theorem, Archives of Mechanics 26, 243 (1974).

    Google Scholar 

  6. Djukic, S.Dj., & B.D. Vujanovic: Noether's Theory in Classical Nonconservative Mechanics, Acta Mechanica. 23, 17–27 (1975).

    Google Scholar 

  7. Katzin Gerald, H., & Jack Levine: Dynamical Symmetries and Constants of the Motion for Classical Particle Systems, J. Math. Phys. 15, no. 9, 1460–1470 (1974).

    Google Scholar 

  8. Ghori, Q.K., & M. Hussain: Poincaré's Equations for a Nonlinear System with Variable Masses, Arch. Rational Mech. Anal. 56, 70–78 (1974).

    Google Scholar 

  9. Noether, E.: Invariante Variationsproblem, Nachr. Akad. Wiss. Göttingen. Math.-Phys. K1. 235–257 (1918).

  10. Rund, H.: Hamilton-Jacobi Theory in the Calculus of Variations, Van Nostrand Co. (1966).

  11. Stojanovic, R.: On the Dynamics of a Rigid Body in Riemannian Spaces, Z. Angew. Math. Mech. 37, 7–8 (1957).

    Google Scholar 

  12. Vujanovic, B.: A Group-Variational Procedure for Finding First Integrals of Dynamical Systems, Internat. J. Non-Linear Mech. 5, 269–278 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by C.-C. Wang

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ghori, Q.K. Conservation laws for dynamical systems in Poincaré-Četaev variables. Arch. Rational Mech. Anal. 64, 327–337 (1977). https://doi.org/10.1007/BF00282344

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00282344

Keywords

Navigation