Stability of equilibrium solutions in the critical case of even-order resonance in periodic Hamiltonian systems with one degree of freedom-Reference-Cited by-同舟云学术

Stability of equilibrium solutions in the critical case of even-order resonance in periodic Hamiltonian systems with one degree of freedom

Published:2013-06-02 Issue:3 Volume:116 Page:265-277
ISSN:0923-2958
Container-title:Celestial Mechanics and Dynamical Astronomy
language:en
Short-container-title:Celest Mech Dyn Astr

Author:

Mansilla José E.,Vidal Claudio

Publisher

Springer Science and Business Media LLC

Subject

Space and Planetary Science,Astronomy and Astrophysics,Applied Mathematics,Computational Mathematics,Mathematical Physics,Modelling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s10569-013-9488-5.pdf

Reference16 articles.

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2. Bardin, B.S.: On the critical stability of pe ndulum-like motions of a rigid in the Bobylev-Stekol case. Regul. Chaotic Dyn. 15(6), 702–714 (2010)

3. Cabral, H.E., Meyer, K.R.: Stability of equilibria and fixed points of conservative systems. Nonlinearity 12, 1351–1362 (1999)

4. Chetaev, N.: The Stability of Motion. Pergamom Press, New York (1961)

5. Elipe, A., Lanchares, V., López-Moratalla, T., Riaguas, A.: Nonlinear stability in resonant cases: a geometrical approach. J. Nonlinear Sci. 11(3), 211–222 (2001)

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