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A modulus of 3-dimensional vector fields

Published online by Cambridge University Press:  19 September 2008

Y. Togawa
Y. Togawa
Affiliation:
Science University of Tokyo, Faculty of Science and Technology, Department of Information Sciences, Noda City, Chiba 278, Japan
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 2 , June 1987 , pp. 295 - 301
Copyright
Copyright © Cambridge University Press 1987

References

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