<abstract><p>Minimizing closed geodesics on surfaces are linearly unstable. By starting with this classical Poincaré's instability result, in the present paper we prove a result that allows to deduce linear of periodic solutions autonomous Lagrangian systems admitting an orbit cylinder (condition which is satisfied for instance if transversally non-degenerate) terms parity propertie...

Sustainable energy systems are an essential response to climate change challenges [...]