Some unexpected results on the Brillouin singular equation: fold bifurcation of periodic solutions

DOI10.1016/j.jde.2018.04.042zbMath1415.34078OpenAlexW2799322258MaRDI QIDQ1753228

Maurizio Garrione, Roberto Castelli

Publication date: 28 May 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.04.042

zbMATH Keywords

periodic solutionscomputer-assisted prooffold bifurcationBrillouin focusing beam equationnon-autonomous singular ODEs

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Applications of operator theory to differential and integral equations (47N20) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Computational methods for bifurcation problems in dynamical systems (37M20)

Related Items (3)

Dynamic aspects of tumour–immune system interaction under a periodic immunotherapy ⋮ Unnamed Item ⋮ Lyapunov stability of periodic solutions of Brillouin type equations

Uses Software

• Matlab
• INTLAB

Cites Work

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