We prove the existence of periodic orbits with minimal period greater than any prescribed number for a natural Lagrangian autonomous system in several variables that is analytic and periodic in each variable and whose potential is nonconstant.
Large minimal period orbits of periodic autonomous systems / J. Campos, M. Tarallo. - In: NONLINEARITY. - ISSN 0951-7715. - 17:1(2004), pp. 357-370.
Large minimal period orbits of periodic autonomous systems
M. TaralloUltimo
2004
Abstract
We prove the existence of periodic orbits with minimal period greater than any prescribed number for a natural Lagrangian autonomous system in several variables that is analytic and periodic in each variable and whose potential is nonconstant.
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