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20032026
most citedA Computational Procedure to Detect a New Type of High Dimensional Chaotic Saddle and its Application to the 3-D Hill's Problem

57 citations · 85 across the 12 of their papers we have counts for

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nlin.CD2013★ 2 cited

The coupled dynamics of two particles with different limit sets

Colm Mulhern, Dirk Hennig, Andrew D. Burbanks

We consider a system of two coupled particles evolving in a periodic and spatially symmetric potential under the influence of external driving and damping. The particles are driven…

nlin.CD2004★ 57 cited

A Computational Procedure to Detect a New Type of High Dimensional Chaotic Saddle and its Application to the 3-D Hill's Problem

H. Waalkens, A. Burbanks, S. Wiggins

A computational procedure that allows the detection of a new type of high-dimensional chaotic saddle in Hamiltonian systems with three degrees of freedom is presented. The chaotic…