Obsah

1   Introduction
   1.1   Model description
2   Stability of the Zero Solution
   2.1   Numerical simulations
   2.2   Center manifold theory
   2.3   Reduction to a center manifold
3   An Invariant Set, the Case a>1
   3.1   Numerical simulations of an invariant set
   3.2   Homeomorphism property of the mapping G
   3.3   Basic properties of homeomorphism
   3.4   Boundeness of trajectories
        3.4.1   Lipschitz property of the mapping f
        3.4.2   The computer assisted proof of boundeness of trajectories
   3.5   Existence of a monotone sequence of closed curves
   3.6   Properties of an invariant set
   3.7   Summary
4   Conclusions
Appendix
   The Rotation Number and the Devil's Staircase
References

Stránku pripravil: Daniel Ševčovič, Ústav aplikovanej matematiky, MFF UK,Bratislava