# Pattern formation in Hamiltonian systems with continuous spectra; a normal-form single-wave model

@article{Balmforth2013PatternFI, title={Pattern formation in Hamiltonian systems with continuous spectra; a normal-form single-wave model}, author={Neil J. Balmforth and Philip J. Morrison and Jean-Luc Thiffeault}, journal={arXiv: Statistical Mechanics}, year={2013} }

Pattern formation in biological, chemical and physical problems has received considerable attention, with much attention paid to dissipative systems. For example, the Ginzburg--Landau equation is a normal form that describes pattern formation due to the appearance of a single mode of instability in a wide variety of dissipative problems. In a similar vein, a certain "single-wave model" arises in many physical contexts that share common pattern forming behavior. These systems have Hamiltonian…

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