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A new Lax-Oleinik type semigroup for time-periodic positive definite Lagrangian systems
Lax-Oleinik type semigroup time-periodic positive definite Lagrangian systems
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2010/11/15
In this paper we introduce a new Lax-Oleinik type semigroup associated with positive definite Lagrangian systems for both the time-independent case and the time-periodic case. We show that the new La...
Lecture notes on Mather's theory for Lagrangian systems
Lecture notes Mather's theory Lagrangian systems
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2010/11/9
These are introductory lecture notes on Mather's theory for Tonelli Lagrangian and Hamiltonian systems. They are based on a series of lectures given by the author at Universit\`a degli Studi di Napoli...
Mechanical Lagrangian systems with external forces
mechanical systems semisprays external forces stability
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2009/2/26
We consider mechanical Lagrangian systems with external
forces that depend also on velocity. The geometrical model is given by
a special semispray S. We show that when the system is dissipative the
...
Mechanical Lagrangian systems with external forces
mechanical systems semisprays external forces stability
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2009/1/7
We consider mechanical Lagrangian systems with external
forces that depend also on velocity. The geometrical model is given by
a special semispray S. We show that when the system is dissipative the
...