Far East Journal of Dynamical Systems
Volume 2, Issue 1, Pages 41 - 51
(December 2000)
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MULTIPLIERS OF HETEROCLINIC CYCLES
Valentin Afraimovich (Mexico) and Todd Young (USA)
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Abstract:
We define and investigate multipliers for heteroclinic orbits and cycles. We show that the multipliers for a heteroclinic cycle are smooth invariants and that their values influence characteristics, such as Hausdorff dimension, of the invariant sets associated with the cycle. |
| Keywords and phrases: smooth conjugacy, differential invariant, Hausdorff dimension. |
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