Photo from archive.org
In this paper, we prove that for $$C^1$$ C 1 -generic diffeomorphisms, if a homoclinic class contains periodic orbits of indices i and j with $$j>i+1$$ j > i +… Click to show full abstract
In this paper, we prove that for $$C^1$$ C 1 -generic diffeomorphisms, if a homoclinic class contains periodic orbits of indices i and j with $$j>i+1$$ j > i + 1 , and the homoclinic class has no-domination of index l for any $$l\in \{i+1,\ldots ,j-1\}$$ l ∈ { i + 1 , … , j - 1 } , then there exists a non-hyperbolic ergodic measure with more than one vanishing Lyapunov exponents and whose support is the whole homoclinic class. Some other results are also obtained.
Keywords:
ergodic measures;
homoclinic class;
multi zero;
measures multi;
lyapunov exponents;
zero lyapunov
Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!