Isolated periodic minima are unstable

Antonio J. Ureña1
1Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain

Tài liệu tham khảo

Carathéodory, 1989 Dancer, 1994, The index of Lyapunov stable fixed points in two dimensions, J. Dynam. Differential Equations, 6, 631, 10.1007/BF02218851 Hartman, 1982 Moser, 2003, Selected Chapters in the Calculus of Variations. Lecture Notes by Oliver Knill Offin, 2000, Hyperbolic minimizing geodesics, Trans. Amer. Math. Soc., 352, 3323, 10.1090/S0002-9947-00-02483-1 Offin, 2004, Instability of periodic orbits in the restricted three body problem, 153 Ortega, 1998, The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom, Ergodic Theory Dynam. Systems, 18, 1007, 10.1017/S0143385798108362 Ortega, 2004, Instability of periodic solutions obtained by minimization, 189 Siegel, 1971, Lectures on Celestial Mechanics, Band 187