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arxiv: 1212.1931 · v1 · pith:JVM7ANXDnew · submitted 2012-12-09 · 🧮 math.DS

Attractors and repellers near generic elliptic points of reversible maps

classification 🧮 math.DS
keywords asymptoticallyellipticnearperiodicreversiblealongattractorscontain
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We show that resonance zones near an elliptic periodic point of a reversible map must, generically, contain asymptotically stable and asymptotically unstable periodic orbits, along with wild hyperbolic sets.

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