The Dual and the Double of a Hopf Algebroid are Hopf Algebroids
Sign Up to like & getrecommendations! Published in 2017 at "Applied Categorical Structures"
DOI: 10.1007/s10485-015-9418-7
Abstract: Let H be a ×-bialgebra in the sense of Takeuchi. We show that if H is ×-Hopf, and if H fulfills the finiteness condition necessary to define its skew dual H∨, then the coopposite of… read more here.
Keywords: algebroid hopf; hopf; hopf algebroid; double hopf ... See more keywords
Stability and Double-Hopf Bifurcations of a Gause–Kolmogorov-Type Predator–Prey System with Indirect Prey-Taxis
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09878-9
Abstract: In this paper, we deal with the Gause–Kolmogorov-type predator–prey system with indirect prey-taxis, which means that directional movement of predators is stimulated by some chemicals emitted by preys. The existence of the positive equilibrium, the… read more here.
Keywords: prey; indirect prey; double hopf; hopf bifurcation ... See more keywords
An analytical method for studying double Hopf bifurcations induced by two delays in nonlinear differential systems
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DOI: 10.1007/s11431-019-9673-6
Abstract: An analytical method is introduced to investigate double Hopf bifurcations induced by two delays qualitatively and quantitatively. As an illustrative example, the clear procedure is demonstrated to study delay-induced weak resonant double Hopf bifurcation in… read more here.
Keywords: analytical method; hopf bifurcations; double hopf; two delays ... See more keywords
On occurrence of bursting oscillations in a dynamical system with a double Hopf bifurcation and slow-varying parametric excitations
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DOI: 10.1016/j.ijnonlinmec.2020.103629
Abstract: Abstract Slow-fast analysis has been extensively used in the past to study the occurrence of bursting oscillations. Most bursting oscillations studies are performed on the low dimensional autonomous systems where only codimension-1 bifurcations take place… read more here.
Keywords: bursting oscillations; system; double hopf; hopf bifurcation ... See more keywords
On the analysis of the double Hopf bifurcation in machining processes via centre manifold reduction
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2017.0502
Abstract: The single-degree-of-freedom model of orthogonal cutting is investigated to study machine tool vibrations in the vicinity of a double Hopf bifurcation point. Centre manifold reduction and normal form calculations are performed to investigate the long-term… read more here.
Keywords: centre; centre manifold; double hopf; hopf bifurcation ... See more keywords