THE EFFECT OF NEGATIVE ENERGY MODE ON NONLINEAR INSTABILITY IN DRIVEN DRIFT WAVES (Ⅱ)——EXCHANGE WITH POSITIVE-ENERGY MODE,‘AVOIDED-CROSSING' AND THE HOPF BIFURCATION

HE KAI-FEN; HU GANG

doi:10.7498/aps.42.1042

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THE EFFECT OF NEGATIVE ENERGY MODE ON NONLINEAR INSTABILITY IN DRIVEN DRIFT WAVES (Ⅱ)——EXCHANGE WITH POSITIVE-ENERGY MODE,‘AVOIDED-CROSSING' AND THE HOPF BIFURCATION

HE KAI-FEN , HU GANG

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THE EFFECT OF NEGATIVE ENERGY MODE ON NONLINEAR INSTABILITY IN DRIVEN DRIFT WAVES (Ⅱ)——EXCHANGE WITH POSITIVE-ENERGY MODE,‘AVOIDED-CROSSING' AND THE HOPF BIFURCATION

HE KAI-FEN, HU GANG

Acta Phys. Sin., 1993, 42(7): 1042-1049.

doi: 10.7498/aps.42.1042

Abstract
In the nonlinear drift-waves driven by a sinucoidal wave, with variations of the driving frequency and strength, crossing and ‘avoided crossing' may appear between the nonlinear complex eigenvalues of a negative-energy mode and a positive-energy mode. While the ‘avoided crossing' occurs, the positions of these two modes are somehow exchanged. Such nonlinear resonance is related to the Hopf bifurcation in weak dissipations.
Authors and contacts
HE KAI-FEN¹,

HU GANG²

(1)北京师范大学低能核物理研究所,北京100875; (2)北京师范大学物理系,北京100875
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