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RESEARCH PRODUCT
Stability of localized structures in the Swift-Hohenberg equation.
Víctor J. Sánchez-morcilloKestutis Staliunassubject
PhysicsSwift–Hohenberg equationPhase (matter)Quantum mechanicsStability (probability)description
We show that nonmonotonic (oscillatory) decay of the boundaries of phase domains is crucial for the stability of localized structures in systems described by Swift-Hohenberg equation. The less damped (more oscillatory) are the boundaries, the larger are the existence ranges of the localized structures. For very weakly damped spatial oscillations, higher-order localized structures are possible.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-04-28 | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |