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Pseudo and true singularly degenerate heteroclinic cycles of a new 3D cubic Lorenz-like system

open access: yesResults in Physics
In contrast to the coexistence of infinitely many pseudo and true singularly degenerate heteroclinic cycles with nearby two-scroll hyperchaotic Lorenz-like attractors coined in four-dimensional systems, this note reports the ones with nearby bifurcated ...
Haijun Wang   +6 more
doaj   +1 more source

Multitudinous potential homoclinic and heteroclinic orbits seized

open access: yesElectronic Research Archive
Revisiting a newly reported modified Chen system by both the definitions of $ \alpha $-limit and $ \omega $-limit set, Lyapunov function and Hamiltonian function, this paper seized a multitude of pairs of potential heteroclinic orbits to (1) $ E_{0 ...
Haijun Wang, Jun Pan, Guiyao Ke
doaj   +1 more source

Existence and uniqueness of travelling wavefronts for a bio-reactor equations with distributed delays

open access: yesElectronic Journal of Differential Equations, 2007
We consider the diffusive single species growth in a plug flow reactor model with distributed delay. For small delay, existence and uniqueness of such wavefronts are proved when the convolution kernel assumes the strong generic delay kernel.
Zhihong Zhao, Yuantong Xu, Yongjin Li
doaj  

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