Families of vector fields with many numerical invariants
DOI10.3934/DCDS.2021114zbMath1503.37039arXiv2003.01269OpenAlexW4287829758MaRDI QIDQ2062701
Nataliya Yu. Goncharuk, Yu. G. Kudryashov
Publication date: 3 January 2022
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.01269
invariantsbifurcationsvector fieldspolycyclesseparatrix loopsparabolic cyclessaddlenodesseparatrix connections
Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Generic properties, structural stability of dynamical systems (37C20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Flows on surfaces (37E35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Structural stability on two-dimensional manifolds
- Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff
- Global bifurcations in the two-sphere: a new perspective
- Global bifurcations in generic one-parameter families on \(\mathbb{S}^2\)
- Various equivalence relations in global bifurcation theory
- Partially hyperbolic fixed points
- Structural stability on two-dimensional manifolds. A further remark
- Numeric invariants in semilocal bifurcations
- Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
- Relative density of irrational rotation numbers in families of circle diffeomorphisms
- ON BIFURCATIONS OF SEPARATRIX CONTOURS WITH TWO SADDLES
- Bifurcations of the ‘heart’ polycycle in generic 2-parameter families
- Global bifurcations in generic one-parameter families with a parabolic cycle on $S^2$
- Bifurcations of the polycycle "tears of the heart": multiple numerical invariants
- New structurally unstable families of planar vector fields
- Towards the General Theory of Global Planar Bifurcations
- On structural stability
- Elements of applied bifurcation theory
This page was built for publication: Families of vector fields with many numerical invariants