Weakly subcritical stationary patterns: Eckhaus instability and homoclinic snaking.

Hsien-Ching Kao1, Edgar Knobloch

  • 1Department of Physics, University of California, Berkeley, California 94720, USA. hckao@berkeley.edu

Summary

This study analyzes pattern formation using the cubic-quintic Ginzburg-Landau equation, revealing how instabilities lead to localized structures and defect states during phase transitions.

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