Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays
Copyright policy )Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays
This paper mainly concerns the derivation of the normal forms of the Bogdanov–Takens (BT) and triple zero bifurcations for differential systems with m discrete delays. The feasible algorithms to determine the existence of the corresponding bifurcations of the system at the origin are given. By using center manifold reduction and normal form theory, the coefficient formulas of normal forms are derived and some examples are presented to illustrate our main results.
- Southeast University China (People's Republic of)
- Henan Normal University China (People's Republic of)
- Henan Normal University China (People's Republic of)
QA299.6-433, Bogdanov–Takens bifurcation, normal form, delays, triple zero bifurcation, Transformation and reduction of functional-differential equations and systems, normal forms, differential system, Bogdanov-Takens bifurcation, Analysis, Bifurcation theory of functional-differential equations
QA299.6-433, Bogdanov–Takens bifurcation, normal form, delays, triple zero bifurcation, Transformation and reduction of functional-differential equations and systems, normal forms, differential system, Bogdanov-Takens bifurcation, Analysis, Bifurcation theory of functional-differential equations
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).1 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.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!