The Boundary-Hopf-Fold Bifurcation in Filippov Systems

DOI10.1137/140988887zbMath1365.34036OpenAlexW646228458MaRDI QIDQ5258571

Xia Liu, Henk W. Broer, Konstantinos Efstathiou

Publication date: 23 June 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://pure.rug.nl/ws/files/76104319/140988887.pdf

zbMATH Keywords

normal formprey-predator modelFilippov systemdiscontinuity boundaryboundary-Hopf-fold bifurcation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ordinary differential inclusions (34A60) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (5)

Analysis of degenerate fold-Hopf bifurcation in a three-dimensional differential system ⋮ Effects of Predator-Driven Prey Dispersal on Sustainable Harvesting Yield ⋮ Regularization of the boundary-saddle-node bifurcation ⋮ Lyapunov exponents for discontinuous dynamical systems of Filippov type ⋮ Global dynamics of a Filippov system with general parameters and saddle structure of a regular-SN

Uses Software

• SlideCont

Cites Work

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