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Nonexistence of formal first integrals for nonlinear systems under resonance
Non-integrability Resonance First integral Normal form
2011/10/12
In this paper, by using normal form theory we give some criteria of nonexistence of formal first integrals for general nonlinear systems under resonance. As application, we also give a criterion for n...
Asymptotic stability of spin orbit resonance for the dynamics of a viscoelastic satellite
Asymptotic stability spin orbit resonance dynamics viscoelastic satellite
2011/2/25
We prove the asymptotic stability of 1:1 spin orbit resonance for a stiff viscoelastic rotationally invariant satellite. The main point is that we do not assume any dissipation on the orbital degrees ...
Stability, Resonance and Lyapunov Inequalities for Periodic Conservative Systems
Lyapunov inequalities periodic boundary value problems resonance
2010/12/7
This paper is devoted to the study of Lyapunov type inequalities for periodic conservative systems. The main results are derived from a previous analysis which relates the best Lyapunov constants to s...