Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
Copyright policy )Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
This paper provides the classification of the phase portraits in the Poincaré disc of all piecewise linear continuous differential systems with two zones separated by a straight line having a unique finite singular point which is a node or a focus. The sufficient and necessary conditions for existence and uniqueness of limit cycles are also given.
- Guangdong University of Finance China (People's Republic of)
- Autonomous University of Barcelona Spain
- Guangdong University of Business Studies China (People's Republic of)
limit cycle, Piecewise linear differential system, Bifurcations of limit cycles and periodic orbits in dynamical systems, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, phase portraits, piecewise linear differential system, Limit cycle, Homoclinic and heteroclinic solutions to ordinary differential equations, Phase portraits
limit cycle, Piecewise linear differential system, Bifurcations of limit cycles and periodic orbits in dynamical systems, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations, phase portraits, piecewise linear differential system, Limit cycle, Homoclinic and heteroclinic solutions to ordinary differential equations, Phase portraits
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).34 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!