Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems

DOI10.1063/1.2759436zbMath1163.37344OpenAlexW1994154209WikidataQ36954577 ScholiaQ36954577MaRDI QIDQ3636619

Gregory Kozyreff, M. Tlidi

Publication date: 1 July 2009

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://dipot.ulb.ac.be/dspace/bitstream/2013/137809/1/Kozyreff_Chaos17_037103_2007.pdf

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (11)

Wandering walk of chimera states in a continuous medium ⋮ Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation ⋮ On periodically modulated rolls in the generalized Swift-Hohenberg equation: Galerkin' approximations ⋮ Localized Turing patterns in nonlinear optical cavities ⋮ Traveling chimera states in continuous media ⋮ Existence and approximation of manifolds for the Swift-Hohenberg equation with a parameter ⋮ Bifurcations of front motion in passive and active Allen–Cahn-type equations ⋮ Nonexistence of local conservation laws for generalized Swift-Hohenberg equation ⋮ Exponential asymptotics of localised patterns and snaking bifurcation diagrams ⋮ Bifurcation Analysis and Pattern Selection of Solutions for the Modified Swift–Hohenberg Equation ⋮ Introduction: Dissipative localized structures in extended systems

Cites Work

• Snakes and ladders: localized states in the Swift-Hohenberg equation
• Spatial patterns in nascent optical bistability
• Front propagation into unstable states
• Homoclinic and heteroclinic orbits underlying the post-buckling of axially-compressed cylindrical shells
• Propagation of hexagonal patterns near onset
• The chemical basis of morphogenesis

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