6533b7d6fe1ef96bd1265ae6
RESEARCH PRODUCT
Singular hyperbolic systems
C. A. MoralesC. A. MoralesEnrique R. PujalsMaria José Pacificosubject
Nonlinear Sciences::Chaotic DynamicsMathematics::Dynamical SystemsApplied MathematicsGeneral MathematicsMathematical analysisPhysics::Data Analysis; Statistics and ProbabilityHyperbolic systemsMathematicsdescription
We construct a class of vector fields on 3-manifolds containing the hyperbolic ones and the geometric Lorenz attractor. Conversely, we shall prove that nonhyperbolic systems in this class resemble the Lorenz attractor: they have Lorenz-like singularities accumulated by periodic orbits and they cannot be approximated by flows with nonhyperbolic critical elements.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-05-04 | Proceedings of the American Mathematical Society |