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math.DS2014
New partially hyperbolic dynamical systems I
Andrey Gogolev, Pedro Ontaneda, Federico Rodriguez Hertz
We propose a new method for constructing partially hyperbolic diffeomorphisms on closed manifolds. As a demonstration of the method we show that there are simply connected closed m…
math.DS2003★ 1 cited
On the fixed homogeneous circle problem
C. Azevedo, H. Cabral, P. Ontaneda
We give some results about the dynamics of a particle moving in Euclidean three-space under the influence of the gravitational force induced by a fixed homogeneous circle. Our main…