Spiraling bifurcation diagrams in superlinear indefinite problems

DOI10.3934/dcds.2015.35.1561zbMath1302.65260OpenAlexW2328156716MaRDI QIDQ484392

Andrea Tellini, Marcela Molina-Meyer, Julián López-Gómez

Publication date: 7 January 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.1561

zbMATH Keywords

path followingsymmetry breakingglobal bifurcation diagramssuperlinear indefinite problemspseudo-spectral methodsbifurcation and turning pointsisolas

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical bifurcation problems (65P30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (8)

Multiplicity of nodal solutions in classical non-degenerate logistic equations ⋮ Unnamed Item ⋮ High multiplicity of positive solutions for superlinear indefinite problems with homogeneous Neumann boundary conditions ⋮ Global structure of the set of 1-node solutions in a class of degenerate diffusive logistic equations ⋮ Multiplicity of positive solutions to boundary blow-up problem with variable exponent and sign-changing weights ⋮ Complex dynamics in one-dimensional nonlinear Schrödinger equations with stepwise potential ⋮ Global bifurcation diagrams of one node solutions in a class of degenerate boundary value problems ⋮ Bifurcation of positive solutions for a one-dimensional indefinite quasilinear Neumann problem

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