On the Homoclinic Tangles of Henri Poincar
When
12:30 p.m., Feb. 12, 2019
Speaker
Abstract
This talk is on the dynamics of the time-periodic second order equations.
We assert that Smale’s horseshoe, SRB measure of Benedick-Carleson and Young, and
Newhouse sinks are all participating elements of the homoclinic tangles of this equation.
We further assert that homoclinic tangles of different structures are arranged in a fixed
pattern and this pattern is repeated indefinitely in parameter space.
We assert that Smale’s horseshoe, SRB measure of Benedick-Carleson and Young, and
Newhouse sinks are all participating elements of the homoclinic tangles of this equation.
We further assert that homoclinic tangles of different structures are arranged in a fixed
pattern and this pattern is repeated indefinitely in parameter space.