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A Hamilton-Jacobi Theory for Singular Lagrangian Systems in the Skinner and Rusk Setting
Hamilton-Jacobi theory presymplectic constraint algorithm
2012/5/9
We develop a Hamilton-Jacobi theory for singular lagrangian systems in the Skinner-Rusk formalism. Comparisons with the Hamilton-Jacobi problem in the lagrangian and hamiltonian settings are discussed...
A new Lax-Oleinik type semigroup for time-periodic positive definite Lagrangian systems
Lax-Oleinik type semigroup time-periodic positive definite Lagrangian systems
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
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...
A novel functional integral formulation of quantum mechanics for non-Lagrangian systems is presented. The new approach, which we call "stringy quantization," is based solely on classical equations of ...
Mechanical Lagrangian systems with external forces
mechanical systems semisprays external forces stability
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
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
...
We prove the existence of a homoclinic orbit for Lagrangian system (LS) where the Lagrallgian L(t,x,y)=1/2 \sum a_ij(x)y_iy_j-V(t,x). A similar argument to Rabinowitz[5] is used, where a_ij (x) is an ...