Comparison of Inertial Manifolds and Application to Modulated Systems

DOI<53::AID-MANA53>3.0.CO;2-4 10.1002/1522-2616(200006)214:1<53::AID-MANA53>3.0.CO;2-4zbMath0957.35025OpenAlexW2060599877WikidataQ59902070 ScholiaQ59902070MaRDI QIDQ4488140

Guido Schneider, Andreas Ziegra, Alexander Mielke

Publication date: 16 March 2001

Full work available at URL: https://doi.org/10.1002/1522-2616(200006)214:1<53::aid-mana53>3.0.co;2-4

zbMATH Keywords

invariant manifoldspattern formationGinzburg-Landau equationperiodic boundary conditionsSwift-Hohenberg equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

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Cites Work

• The validity of modulation equations for extended systems with cubic nonlinearities
• Instability of spatially quasi-periodic states of the Ginzburg-Landau equation
• Instability of quasiperiodic solutions of the Ginzburg–Landau equation