Proceedings of the 2016 6th International Conference on Machinery, Materials, Environment, Biotechnology and Computer

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The Positive Lyapunov Exponent Of The Matrix With The Exponential Rotation

Authors
Kai Tao
Corresponding Author
Kai Tao
Available Online June 2016.
DOI
10.2991/mmebc-16.2016.309How to use a DOI?
Keywords
Positive Lyapunov exponent, Exponential rotation, Harmonic measure
Abstract

This paper studies the Lyapunov exponent defined by the matrix with the exponential rotation. The author applies the theory of subharmonic functions to prove that if the coupling number is big enough, then the Lyapunov exponent is positive.

Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2016 6th International Conference on Machinery, Materials, Environment, Biotechnology and Computer
Series
Advances in Engineering Research
Publication Date
June 2016
ISBN
978-94-6252-210-7
ISSN
2352-5401
DOI
10.2991/mmebc-16.2016.309How to use a DOI?
Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Kai Tao
PY  - 2016/06
DA  - 2016/06
TI  - The Positive Lyapunov Exponent Of The Matrix With The Exponential Rotation
BT  - Proceedings of the 2016 6th International Conference on Machinery, Materials, Environment, Biotechnology and Computer
PB  - Atlantis Press
SP  - 1518
EP  - 1521
SN  - 2352-5401
UR  - https://doi.org/10.2991/mmebc-16.2016.309
DO  - 10.2991/mmebc-16.2016.309
ID  - Tao2016/06
ER  -