scientific article
zbMath1467.34032MaRDI QIDQ3389050
Publication date: 7 May 2021
Full work available at URL: https://www.ariel.ac.il/wp/fde/2019/07/29/global-limit-cycle-bifurcations-of-the-cubic-linear-dynamical-system/
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
bifurcationlimit cycleWintner-Perko termination principlefield rotation parameterKukles cubic-linear system
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple limit cycle bifurcations of the FitzHugh-Nagumo neuronal model
- On limit cycles surrounding a singular point
- The applied geometry of a general Liénard polynomial system
- A quadratic system with two parallel straight-line-isoclines
- On the geometry of polynomial dynamical systems
- Limit cycles of quadratic systems
- Global qualitative analysis of a quartic ecological model
- Computing centre conditions for certain cubic systems
- Mathematical problems for the next century
- Global bifurcations of limit and separatrix cycles in a generalized Liénard system
- Limit cycle bifurcations of a general Liénard system with polynomial restoring and damping functions
- The geometry of limit cycle bifurcations in polynomial dynamical systems
- Global qualitative analysis of a Holling-type system
- Wintner-Perko termination principle, parameters rotating a field, and limit-cycle problem
- On the limit cycles of a class of Kukles type differential systems
- The centres in the reduced Kukles system
This page was built for publication: