• Mathematics
  • Published 1998

A variational construction of chaotic trajectories for a Hamiltonian system on a torus

@inproceedings{Bolotin1998AVC,
  title={A variational construction of chaotic trajectories for a Hamiltonian system on a torus},
  author={Sergey Vladimirovich Bolotin and Paul H. Rabinowitz},
  year={1998}
}
– A geometric criterion for the existence of chaotic trajectories of a Hamiltonian system with two degrees of freedom and the configuration space a torus is given. As an application, positive topological entropy is established for a double pendulum problem. 

Figures from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 10 CITATIONS

The Anti-Integrable Limit

VIEW 2 EXCERPTS
CITES BACKGROUND

References

Publications referenced by this paper.
SHOWING 1-10 OF 35 REFERENCES

JEANJEAN, Homoclinics and heteroclinics for a class of conservative singular dynamical systems

  • L. P. CALDIROLI
  • 1996
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

The Shilnikov problem

  • B. DENG
  • exponential expansion, strong l-lemma, C 1-linearization and homoclinic bifurcation, J. Differ. Equat., 79
  • 1989
VIEW 6 EXCERPTS
HIGHLY INFLUENTIAL

ON A POINCARÉ-BIRKHOFF PROBLEM

VIEW 9 EXCERPTS
HIGHLY INFLUENTIAL

SÉRÉ, A global condition for quasi-random behavior in a class of conservative systems, Comm

  • E. B. BUFFONI
  • Pure Appl. Math
  • 1996
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

LEDAERON, The discrete Frenkel-Kontorova model and its extensions, I. Exact results for the ground-states

  • P Y.S.AUBRY-
  • Physica D,
  • 1983
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Homoclinic orbits in Hamiltonian systems

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Calculus of variations in the large and classical mechanics

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL