Simplest bifurcation diagrams for monotone families of vector fields on a torus
DOI10.1088/1361-6544/aab6e2zbMath1405.37044OpenAlexW2791342431MaRDI QIDQ4569247
No author found.
Publication date: 28 June 2018
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: http://wrap.warwick.ac.uk/99440/14/WRAP-simplest-bifurcation-diagrams-monotone-families-vector-fields-torus-Baesens-2018.pdf
Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Flows on surfaces (37E35) Monotone flows as dynamical systems (37C65)
Related Items (1)
Cites Work
- Unnamed Item
- Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
- Resonance regions for Mathieu type dynamical systems on a torus
- Stability of synchronization in a shift-invariant ring of mutually coupled oscillators
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Global Hopf bifurcation of two-parameter flows
- Global structure of continuous flows on 2-manifolds
- Elements of applied bifurcation theory.
- Qualitative theory of flows on surfaces (a review)
- Note on differential equations on the torus
- An index for global Hopf bifurcation in parabolic systems.
- A simple proof of Denjoy's theorem
- Resonance regions for families of torus maps
- Resonances for weak coupling of the unfolding of a saddle-node periodic orbit with an oscillator
- Interaction of two systems with saddle-node bifurcations on invariant circles: I. Foundations and the mutualistic case
This page was built for publication: Simplest bifurcation diagrams for monotone families of vector fields on a torus