Regularization of the boundary-saddle-node bifurcation

DOI10.1155/2018/5094878zbMath1404.34045OpenAlexW2781758810MaRDI QIDQ1629229

Xia Liu

Publication date: 11 December 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/5094878

zbMATH Keywords

regularization approachdiscontinuity boundarylocal topological normal formplanar Filippov systems

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36)

Cites Work

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• Discontinuity-induced bifurcations in systems with impacts and friction: discontinuities in the impact law
• Generic bifurcations of low codimension of planar Filippov systems
• Dynamics and bifurcations of non-smooth mechanical systems
• Geometric singular perturbation theory for ordinary differential equations
• Bifurcation analysis of piecewise smooth ecological models
• Two-parameter degenerate sliding bifurcations in Filippov systems
• Resonance near border-collision bifurcations in piecewise-smooth, continuous maps
• NONHYPERBOLIC BOUNDARY EQUILIBRIUM BIFURCATIONS IN PLANAR FILIPPOV SYSTEMS: A CASE STUDY APPROACH
• A class of piecewise linear differential equations arising in biological models
• Multiple attractors in grazing–sliding bifurcations in Filippov-type flows
• The Boundary-Hopf-Fold Bifurcation in Filippov Systems
• Two Degenerate Boundary Equilibrium Bifurcations in Planar Filippov Systems

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