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A modulus of 3-dimensional vector fields
Published online by Cambridge University Press: 19 September 2008
Abstract
In this paper, we prove that μ/λ is a modulus for a Šilnikov system with eigenvalues λ and −μ ± iω. To prove this we define a number using knot and link invariants of periodic orbits, which is related to the ratio of eigenvalues μ/λ.
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