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• W1628013544 abstract "The first part of this paper surveys results on time-periodic Lagrangian systems on a hyperbolic manifolds. Results of the authors show that the dynamics of such systems are, in a precise sense, at least as complicated as those of the geodesic flow of the hyperbolic metric. The second part of the paper presents original results on autonomous Lagrangian systems on the two torus including a precise description of Mather’s beta function. Examples are given of mechanical systems with non-strictly convex beta function and with an Euler-Lagrange minimizer which is not a Jacobi minimizer." @default.
• W1628013544 created "2016-06-24" @default.
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• W1628013544 date "1999-01-01" @default.
• W1628013544 modified "2023-09-23" @default.
• W1628013544 title "Dynamical Stability in Lagrangian Systems" @default.
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• W1628013544 doi "https://doi.org/10.1007/978-94-011-4673-9_9" @default.
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