Lyapunov Coefficients for Hopf Bifurcations in Systems with Piecewise Smooth Nonlinearity

DOI10.1137/20M1343129zbMath1477.34063arXiv2006.07085OpenAlexW3112430644MaRDI QIDQ5859789

Jens D. M. Rademacher, Miriam Steinherr Zazo

Publication date: 20 April 2021

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

Full work available at URL: https://arxiv.org/abs/2006.07085

zbMATH Keywords

invariant manifoldsnormal formnonsmooth systemsdegenerate Andronov-Hopf bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Invariant manifolds for ordinary differential equations (34C45)

Related Items (3)

Bifurcation Control for a Ship Maneuvering Model with Nonsmooth Nonlinearities ⋮ Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems ⋮ Rotating Shallow Water Equations with Bottom Drag: Bifurcations and Growth Due to Kinetic Energy Backscatter

Uses Software

• AUTO

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