Nonintegrability in the Vicinity of an Equilibrium Position
- 319 Downloads
There is another method of proving nonintegrability. It is based on estimates from below for coefficients of the power series representing formal integrals which exist by Birkhoff’s theorem. It turns out that the reason for divergence of such series is the existence of anomalously small denominators, i.e., almost resonance relations between the frequencies of small oscillations near equilibria.
KeywordsPower Series Hamiltonian System Equilibrium Position Hamiltonian Function Homogeneous Form
Unable to display preview. Download preview PDF.