“The quasi invariant V” analysis for the chaotic behavior of Lorenz map in the nearest neighborhood of the second threshold of laser

Song Li-Ping; Guo Qi-Zhi; Tan Wei-Han

doi:10.7498/aps.53.119

Abstract
In order to study the laser oscillation instability, in this paper we present the “quasi invariant V” method for analysis of the chaotic behavior of Lorenz map in the nearest neighborhood of the second threshold of laser, and demonstrate the relation between initial value V0 and the time tc for the occurrence of chaos, i.e. V0tc equals a constant C0 depending on the parameter σ,b,r of the system.

Keywords:
the second threshold of laser /

Lorenz map /

quasi invariant V
Authors and contacts
Song Li-Ping¹,

Guo Qi-Zhi²,

Tan Wei-Han³

(1)上海大学物理系,上海 200436; (2)上海大学物理系,上海 200437; (3)上海大学物理系,上海 200438
References

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Vol. 53, Issue 1 - 2004-01-05

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“The quasi invariant V” analysis for the chaotic behavior of Lorenz map in the nearest neighborhood of the second threshold of laser

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“The quasi invariant V” analysis for the chaotic behavior of Lorenz map in the nearest neighborhood of the second threshold of laser

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