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Chaos in reversible homoclinic bifocus. (arXiv:1810.06359v1 [math.DS])
来源于:arXiv
We show that any neighborhood of a non-degenerate reversible bifocal
homoclinic orbit contains chaotic suspended invariant sets on $N$-symbols for
all $N\geq 2$. This will be achieved by showing switching associated with
networks of secondary homoclinic orbits. We also prove the existence of
super-homoclinic orbits (trajectories homoclinic to a network of homoclinic
orbits), whose presence leads to a particularly rich structure. 查看全文>>