Polarized Hessian covariant: contribution to pattern formation in the Föppl-von Kármán shell equations

DOI10.1016/j.chaos.2008.10.025zbMath1198.74046OpenAlexW2136971648MaRDI QIDQ602642

Partha Guha, Patrick D. Shipman

Publication date: 5 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.10.025

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Shells (74K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Cites Work

• Polygonal planforms and phyllotaxis on plants
• The Weierstrass-Enneper representation using hodographic coordinates on a minimal surface
• Phyllotaxis: cooperation and competition between mechanical and biochemical processes
• Euler-Poincaré flows and Leibniz structure of nonlinear reaction-diffusion type systems
• Dissipative systems on manifolds
• On the equilibrium of shell membranes under normal loading. Hidden integrability
• On the Susceptibility of Local Elastic Buckling to Chaos
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• The static–geometric analogy in the equations of thin shell structures
• Nonlinear Isometric Bifurcation and Shell Buckling
• On the unification of classical and novel integrable surfaces. I. Differential geometry
• Novel integrable reductions in nonlinear continuum mechanics via geometric constraints
• Contributions to the Theory of Waves in Non-linear Dispersive Systems
• Spherical Shells Like Hexagons: Cylinders Prefer Diamonds—Part 1
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