The order of coexistence of homoclinic trajectories for the maps of an interval
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DOI: 10.1007/s11253-019-01704-w
Abstract: A nonperiodic trajectory of a discrete dynamical system is called n-homoclinic if its α- and ω-limit sets coincide and form the same cycle of period n. We prove the statement that the ordering1 ⊳ 3 ⊳ 5 ⊳ 7 ⊳ ... ⊳ 2 ⋅ 1 ⊳ 2 ⋅ 3 ⊳ 2 ⋅ 5 ⊳ ... ⊳ 22 ⋅ 1 ⊳ 22 ⋅ 3 ⊳ 22 ⋅ 5 ⊳ ...determines the coexistence… read more here.
Keywords: dynamical system; coexistence homoclinic; homoclinic trajectory; homoclinic trajectories ... See more keywords