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Mode Interaction at a Triple Zero Point of O(2) symmetric Nonlinear Systems with Two Parameters

Mode Interaction at a Triple Zero Point of O(2) symmetric Nonlinear Systems with Two Parameters
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摘要 We consider a triple zero point of nonlinear equations with O(2 symmetry, where the Jacobian has a zero eigenvalue of geometric multiplicity one and algebraic multiplicity three. We show that this triple zero point exhibits a new bifurcation phenomenon, that is, a mode interaction of the following three paths: bifurcation points from steady states, steady states and rotating waves to standing waves, rotating waves and modulated rotating waves respectively. We consider a triple zero point of nonlinear equations with O(2 symmetry, where the Jacobian has a zero eigenvalue of geometric multiplicity one and algebraic multiplicity three. We show that this triple zero point exhibits a new bifurcation phenomenon, that is, a mode interaction of the following three paths: bifurcation points from steady states, steady states and rotating waves to standing waves, rotating waves and modulated rotating waves respectively.
作者 吴微 孟繁友
出处 《Northeastern Mathematical Journal》 CSCD 2000年第1期10-20,共11页 东北数学（英文版）
基金 The NNSF!( 1 9571 0 3 3 ) of China
关键词 mode interaction BIFURCATION triple zero point O(2) symmetry nonlinear system mode interaction bifurcation triple zero point O(2) symmetry nonlinear system
分类号 O175 [理学—基础数学]
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参考文献9

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Northeastern Mathematical Journal
2000年 第1期

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