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Successive homoclinic doublings bifurcations from oribt-flip
Successive homoclinic doublings bifurcations from oribt-flipopenaire
Flip Bifurcation Analysis in a Discrete Bacteria Population Model
, 2019 Balcı, Ercan, Kartal, Şenol
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Phase-flip bifurcation induced by time delay
Physical Review E, 2006We present a general bifurcation in the synchronized dynamics of time-delay-coupled nonlinear oscillators. The relative phase between the oscillators jumps from zero to pi as a function of the coupling; this phase-flip bifurcation is accompanied by a discontinuous change in the frequency of the synchronized oscillators.
Awadhesh, Prasad +3 more
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Homoclinic flip bifurcation with a nonhyperbolic equilibrium
Nonlinear Dynamics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Xingbo, Shi, Lina, Zhang, Dongmei
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Resonant Homoclinic Flip Bifurcations
Journal of Dynamics and Differential Equations, 2000Homoclinic bifurcations gained a lot of attention because they are closely related to transitions to chaotic dynamics. Many kinds of homoclinic bifurcations were studied (the best known is the Shil'nikov case of a homoclinic orbit to a saddle-focus equilibrium).
Homburg, A.J., Krauskopf, B.
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Flip-Flip Bifurcation in a Mathematical Cardiac System
International Journal of Bifurcation and Chaos, 2019We study the intersection of double-flip (period-doubling) bifurcations in a parameter plane. We derive normal forms for discrete-time and continuous-time systems. Using these normal forms, we clarify the bifurcation structure around the flip-flip bifurcation point. We apply these analytical results to a system of coupled ventricular cell models.
Hiroyuki Kitajima, Toru Yazawa
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CODIMENSION 3 BIFURCATIONS OF HOMOCLINIC ORBITS WITH ORBIT FLIPS AND INCLINATION FLIPS
Chinese Annals of Mathematics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shui, Shuliang, Zhu, Deming
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BIFURCATION OF ROUGH HETEROCLINIC LOOP WITH ORBIT FLIPS
International Journal of Bifurcation and Chaos, 2012In 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.
Liu, Xingbo, Wang, Zhenzhen, Zhu, Deming
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