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Codimension 2 reversible heteroclinic bifurcations with inclination flips
Science in China Series A: Mathematics, 2009The authors consider a four-dimensional system \(\dot{z}=g(z,\mu)\) where \(g\in \mathbb{C}^r\) with \(r\geq 5\) and \(\mu\in {\mathbb R}^l\), \(l>3\) is a small parameter. It is assumed that the system has two fixed points \(p_1(\mu)\) and \(p_2(\mu)\) having in local coordinates the linearizations \[ \dot{x}=\lambda_1^i(\mu)x,\;\; \dot{y}=-\lambda_1 ...
Xu, YanCong, Zhu, DeMing, Deng, GuiFeng
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Codimension-3 Flip Bifurcation of a Class of Difference Equations
International Journal of Bifurcation and Chaos, 2018In this paper, we consider a one-dimensional difference equation with three parameters, the derivative of which at a fixed point has an eigenvalue [Formula: see text] as the parameters are all zero. In the case that both nondegeneracy conditions of the flip bifurcation and the generalized flip bifurcation are not satisfied, by computing normal form ...
Jiyu Zhong, Xingwang Zhou
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MULTIPLE HOMOCLINIC BIFURCATIONS FROM ORBIT-FLIP I: SUCCESSIVE HOMOCLINIC DOUBLINGS
International Journal of Bifurcation and Chaos, 1996The purpose of this and forthcoming papers is to obtain a better understanding of complicated bifurcations for multiple homoclinic orbits. We shall take one particular type of codimension two homoclinic orbits called orbit-flip and study bifurcations to multiple homoclinic orbits appearing in a tubular neighborhood of the original orbit-flip. The main
Kokubu, Hiroshi +2 more
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Oscillation quenching and phase-flip bifurcation in coupled thermoacoustic systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019Oscillatory instabilities, although ubiquitous in nature, are undesirable in many situations such as biological systems, swaying of bridges and skyscrapers, aero-acoustic flutter, prey-predator and disease spread models, and thermoacoustic systems, where they exhibit large amplitude periodic oscillations.
Suraj Dange +5 more
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Cusp and generalized flip bifurcations under higher degree conditions
Nonlinear Analysis: Theory, Methods & Applications, 2003The authors study local bifurcations generated by bi-parametric families of one-dimensional maps. It is about to define normal forms associated with codimension two bifurcations of cusp and flip types. Remind that a bifurcation is a qualitative change of a map (or an ODE) behavior under a small parameter variation.
Balibrea, F., Valverde, J. C.
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Bifurcations of double homoclinic flip orbits with resonant eigenvalues
Applied Mathematics and Mechanics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Tian-Si, Zhu, De-Ming
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Non-resonance 3D homoclinic bifurcation with an inclination flip
Chaos, Solitons & Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fast spin-flip enables efficient and stable organic electroluminescence from charge-transfer states
Nature Photonics, 2020Lin-Song Cui +2 more
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Charge‐Transfer and Spin‐Flip States: Thriving as Complements
Angewandte Chemie - International Edition, 2023Winald Robert Kitzmann, Katja Heinze
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