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Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 This article is devoted to the research of a new codimension 3 homoclinic orbit bifurcation, which is the orbit-flip of weak type. Such kind of homoclinic orbit is a degenerate case of the orbit-flip homoclinic orbit.
Qiuying Lu, Guifeng Deng, Hua Luo
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Experimental Evidence of Amplitude Death and Phase-Flip Bifurcation between In-Phase and Anti-Phase Synchronization. [PDF]
Sci Rep, 2018 Nonlinear phenomena emerging from the coupled behaviour of a pair of oscillators have attracted considerable research attention over the years, of which, amplitude death (AD) and phase-flip bifurcation (PFB) are two noteworthy examples.
Manoj K, Pawar SA, Sujith RI.
europepmc +5 more sources
Transcritical bifurcation and flip bifurcation of a new discrete ratio-dependent predator-prey system [PDF]
Qualitative Theory of Dynamical Systems, 2022 After a discrete two-species predator-prey system with ratio-dependent functional response is topologically and equivalently reduced, some new dynamical properties for the new discrete system are formulated.
Xianyi Li, Yuqing Liu
semanticscholar +4 more sources
Flip bifurcation analysis and mathematical modeling of cholera disease by taking control measures. [PDF]
Sci RepTo study the dynamical system, it is necessary to formulate the mathematical model to understand the dynamics of various diseases which are spread in the world wide.
Ahmad A +6 more
europepmc +4 more sources
Resonant Homoclinic Flips Bifurcation in Principal Eigendirections [PDF]
Abstract and Applied Analysis, 2013 A codimension-4 homoclinic bifurcation with one orbit flip and one inclination flip at principal eigenvalue direction resonance is considered. By introducing a local active coordinate system in some small neighborhood of homoclinic orbit, we get the ...
Tiansi Zhang, Xiaoxin Huang, Deming Zhu
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Mathematical Biosciences and Engineering, 2020 The continuous predator-prey model is one of the main models studied in recent years. The dynamical properties of these models are so complex that it is an urgent topic to be studied.
Yangyang Li +2 more
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Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study [PDF]
SIAM Journal on Applied Dynamical Systems, 2018 We study a specific homoclinic bifurcation called a homoclinic flip bifurcation of case C, where a homoclinic orbit to a saddle equilibrium with real eigenvalues changes from being orientable to nonorientable.
Andrus Giraldo +2 more
semanticscholar +6 more sources
Electronic Research Archive, 2023 In this paper, we use a semi-discretization method to explore a predator-prey model with Michaelis-Menten functional response. Firstly, we investigate the local stability of fixed points. Then, by using the center manifold theorem and bifurcation theory,
Xianyi Li , Xingming Shao
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Bifurcations of Orbit and Inclination Flips Heteroclinic Loop with Nonhyperbolic Equilibria [PDF]
The Scientific World Journal, 2014 The bifurcations of heteroclinic loop with one nonhyperbolic equilibrium and one hyperbolic saddle are considered, where the nonhyperbolic equilibrium is supposed to undergo a transcritical bifurcation; moreover, the heteroclinic loop has an orbit flip ...
Fengjie Geng, Junfang Zhao
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Computing connecting orbits to infinity associated with a homoclinic flip bifurcation [PDF]
Journal of Computational Dynamics, 2020 We consider the bifurcation diagram in a suitable parameter plane of a quadratic vector field in \begin{document}$ \mathbb{R}^3 $\end{document} that features a homoclinic flip bifurcation of the most complicated type.
Andrus Giraldo +2 more
openalex +3 more sources