Spiraling bifurcation diagrams in superlinear indefinite problems Articles uri icon

publication date

  • April 2015

start page

  • 1561

end page

  • 1588


  • 4


  • 35

International Standard Serial Number (ISSN)

  • 1078-0947

Electronic International Standard Serial Number (EISSN)

  • 1553-5231


  • This paper computes and discusses a series of intricate global bifurcation diagrams for a class of one-dimensional superlinear indefinite boundary value problems arising in population dynamics, under non-homogeneous boundary conditions, measured by M > 0; the main bifurcation parameter being the amplitude b of the superlinear terms.


  • global bifurcation diagrams; path following; pseudo-spectral methods; superlinear indefinite problems; bifurcation and turning points; symmetry breaking; isolas