Book contents
- Frontmatter
- Contents
- Preface
- 1 What are natural patterns?
- 2 A bit of bifurcation theory
- 3 A bit of group theory
- 4 Bifurcations with symmetry
- 5 Simple lattice patterns
- 6 Superlattices, hidden symmetries and other complications
- 7 Spatial modulation and envelope equations
- 8 Instabilities of stripes and travelling plane waves
- 9 More instabilities of patterns
- 10 Spirals, defects and spiral defect chaos
- 11 Large-aspect-ratio systems and the Cross–Newell equation
- References
- Index
6 - Superlattices, hidden symmetries and other complications
Published online by Cambridge University Press: 08 January 2010
- Frontmatter
- Contents
- Preface
- 1 What are natural patterns?
- 2 A bit of bifurcation theory
- 3 A bit of group theory
- 4 Bifurcations with symmetry
- 5 Simple lattice patterns
- 6 Superlattices, hidden symmetries and other complications
- 7 Spatial modulation and envelope equations
- 8 Instabilities of stripes and travelling plane waves
- 9 More instabilities of patterns
- 10 Spirals, defects and spiral defect chaos
- 11 Large-aspect-ratio systems and the Cross–Newell equation
- References
- Index
Summary

- Type
- Chapter
- Information
- Pattern FormationAn Introduction to Methods, pp. 168 - 208Publisher: Cambridge University PressPrint publication year: 2006