Example of simplest bifurcation diagram for a monotone family of vector fields on a torus

DOI10.1088/1361-6544/AD6B70MaRDI QIDQ6608804

Marc Homs-Dones, Robert S. MacKay, Claude Baesens

Publication date: 20 September 2024

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

bifurcationvector fieldtorus

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Flows on surfaces (37E35)

Cites Work

• Title not available (Why is that?)
• Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The cusps of Zeeman's catastrophe machine
• Computer-assisted techniques for the verification of the Chebyshev property of abelian integrals
• Homoclinic Loop and Multiple Limit Cycle Bifurcation Surfaces
• Simplest bifurcation diagrams for monotone families of vector fields on a torus
• Baroclinic Flow and the Lorenz-84 Model
• The Bifurcation Set for the 1:4 Resonance Problem
• Elements of applied bifurcation theory

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