0000000001030039

AUTHOR

Nikolas Gourmelon

showing 1 related works from this author

Perturbations of the derivative along periodic orbits

2006

International audience; We show that a periodic orbit of large period of a diffeomorphism or flow, either admits a dominated splitting of a prescribed strength, or can be turned into a sink or a source by a C1-small perturbation along the orbit. As a consequence we show that the linear Poincaré flow of a C1-vector field admits a dominated splitting over any robustly transitive set.

Applied MathematicsGeneral Mathematics[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]010102 general mathematicsMathematical analysis[ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]Transitive set16. Peace & justice01 natural sciences37D30 (34C25 34D10 37C05 37C10 37C27)010101 applied mathematicsPeriodic orbitsVector fieldDiffeomorphism0101 mathematicsMathematics
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