A definition of Zhukovski stability is introduced. A new research tool— a moving Poincaré section— is considered. With the help of this tool, generalizations of the Andronov–Vitt and Demidovich theorems are obtained.
Keywords:
Orbital stability, Zhukovski stability, Characteristic exponent, Poincaré section
Citation:
Leonov G. A., Generalization of the Andronov–Vitt theorem , Regular and Chaotic Dynamics,
2006, Volume 11, Number 2,
pp. 281-289