Quadratic integrals for linear nonconservative systems and their connection with the inverse problem of Lagrangian dynamics

Author:

Sarlet Willy,Bahar Leon Y.

Publisher

Elsevier BV

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Reference14 articles.

1. A direct construction of first integrals for certain non-linear dynamical systems;Sarlet;Int. J. non-linear Mech.,1980

2. On Lyapunov stability of a system with known first integrals;Risito;Meccanica,1967

3. On the construction of Lyapunov functions from the integrals of the equations for perturbed motion;Pozharitskii;PMM,1958

4. A new first integral corresponding to Lyapunov's function for a pendulum of variable length;Djukic;ZAMP,1974

5. On stabilization of potential systems;Lakhadanov;PMM,1975

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1. Polynomial conservation laws of the generalized Emden-Fowler equation;International Journal of Non-Linear Mechanics;1998-03

2. Variational principles for nonpotential operators;Journal of Mathematical Sciences;1994-02

3. Conservation laws of rheo-linear dynamical systems with one-and two-degrees-of-freedom;International Journal of Non-Linear Mechanics;1992-03

4. Invariants of particle motion in one-dimensional time-dependent potentials;Journal of Physics A: Mathematical and General;1990-09-07

5. Generalized Noether theorem and Poincar� invariant for nonconservative nonholonomic systems;International Journal of Theoretical Physics;1990-07

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