Results 121 to 130 of about 2,258 (187)

The phase space geometry underlying roaming reaction dynamics. [PDF]

J Math Chem, 2018
Krajňák V, Waalkens H.
europepmc   +1 more source

Neurophysiological avenues to better conceptualizing adaptive cognition. [PDF]

Commun Biol
Van Schependom J, Baetens K, Nagels G, Olmi S, Beste C.   +4 more
europepmc   +1 more source

Within-host competition causes pathogen molecular evolution and perpetual microbiota dysbiosis. [PDF]

ISME J
Stevens EJ, Li JD, Hector TE, Drew GC, Hoang K, Greenrod STE, Paterson S, King KC.   +7 more
europepmc   +1 more source

Exploring the geometry of the bifurcation sets in parameter space. [PDF]

Sci Rep
Barrio R, Ibáñez S, Pérez L.
europepmc   +1 more source

Regularization of Planar Piecewise Smooth Systems with a Heteroclinic Loop

International Journal of Bifurcation and Chaos, 2021
In this paper, we study bifurcations of the regularized systems of planar piecewise smooth systems, which have a visible fold-regular point and a sliding or grazing heteroclinic loop. Our results show that if the planar piecewise smooth system with a sliding heteroclinic loop undergoes sliding heteroclinic bifurcation, then the regularized system can ...
Zhongjian Wang, Dingheng Pi
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Bifurcations of Rough Heteroclinic Loops with Three Saddle Points

Acta Mathematica Sinica, English Series, 2002
The perturbed \(C^r\)-system \[ \dot z=f(z)+g(z,\mu)\tag{1} \] is considered with \(r\geq 4\), \(z\in \mathbb{R}^{m}\), \(\mu \in \mathbb{R}^k\), \(k\geq 3\), \(0\leq |\mu |\ll 1\), \(g(z,0)=0\). The unperturbed system (1) with \(\mu =0\) has a heteroclinic loop \(\Gamma \) connecting three hyperbolic critical points.
Yin Lai Jin, De Ming Zhu
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BIFURCATION OF ROUGH HETEROCLINIC LOOP WITH ORBIT FLIPS

International Journal of Bifurcation and Chaos, 2012
In this paper, heteroclinic loop bifurcations with double orbit flips are investigated in four-dimensional vector fields. We obtain the bifurcation equations by setting up a local coordinate system near the rough heteroclinic orbit and establishing the Poincaré map.
Xingbo Liu, Zhenzhen Wang, Deming Zhu
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BIFURCATIONS OF GENERIC HETEROCLINIC LOOP ACCOMPANIED BY TRANSCRITICAL BIFURCATION

International Journal of Bifurcation and Chaos, 2008
The bifurcations of generic heteroclinic loop with one nonhyperbolic equilibrium p1and one hyperbolic saddle p2are investigated, where p1is assumed to undergo transcritical bifurcation. Firstly, we discuss bifurcations of heteroclinic loop when transcritical bifurcation does not happen, the persistence of heteroclinic loop, the existence of homoclinic ...
Fengjie Geng, Dan Liu, Deming Zhu
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Bifurcations of Heteroclinic Loop with Twisted Conditions

International Journal of Bifurcation and Chaos, 2017
The bifurcation problems of twisted heteroclinic loop with two hyperbolic critical points are studied for the case [Formula: see text], [Formula: see text], [Formula: see text], where [Formula: see text] and [Formula: see text] are the pair of principal eigenvalues of unperturbed system at the critical point [Formula: see text], [Formula: see text ...
Yinlai Jin, Suoling Yang, Yuanyuan Liu, Dandan Xie, Nana Zhang   +4 more
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NONRESONANT BIFURCATIONS OF HETEROCLINIC LOOPS WITH ONE INCLINATION FLIP

International Journal of Bifurcation and Chaos, 2011
Heteroclinic bifurcations in four-dimensional vector fields are investigated by setting up local coordinates near a heteroclinic loop. This heteroclinic loop consists of two principal heteroclinic orbits, but there is one stable foliation that involves an inclination flip.
Shuliang Shui, Jingjing Li, Zhang Xuyang
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