Rigorous verification of saddle–node bifurcations in ODEs
Indagationes Mathematicae, 2016 Abstract In this paper, we introduce a general method for the rigorous verification of saddle–node bifurcations in ordinary differential equations. The approach is constructive in the sense that we obtain precise and explicit bounds within which the saddle–node bifurcation occurs. After introducing a set of sufficient generic conditions, an algorithm
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Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: a case study from dynamo theory [PDF]
, 2004 Peter Ashwin +2 more
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Voltage Stability Bifurcation Analysis for AC/DC Systems with VSC-HVDC
Abstract and Applied Analysis, 2013 A voltage stability bifurcation analysis approach for modeling AC/DC systems with VSC-HVDC is presented. The steady power model and control modes of VSC-HVDC are briefly presented firstly.
Yanfang Wei +4 more
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Standard Poster Abstracts for the 17th Asia Pacific Heart Rhythm Society (APHRS) Scientific Sessions
Journal of Arrhythmia, Volume 41, Issue 2, April 2025.
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Variational principle for bifurcation in Lagrangian mechanics [PDF]
arXiv, 2019 An application of variational principle to bifurcation of periodic solution in Lagrangian mechanics is shown. A few higher derivatives of the action integral at a periodic solution reveals the behaviour of the action in function space near the solution. Then the variational principle gives a method to find bifurcations from the solution.
arxiv
Bifurcation Analysis of the Dynamics in COVID-19 Transmission through Living and Nonliving Media
Journal of Applied MathematicsTransmission of COVID-19 occurs either through living media, such as interaction with a sufferer, or nonliving objects contaminated with the virus. Recovering sufferers and disinfectant spraying prevent interaction between people and virus become the ...
Ario Wiraya +5 more
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Shilnikov saddle-node bifurcation
Scholarpedia, 2008 Andrey Shilnikov, Leonid P Shilnikov
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AxiomsThis paper studies a particular type of planar Filippov system that consists of two discontinuity boundaries separating the phase plane into three disjoint regions with different dynamics. This type of system has wide applications in various subjects. As
Nanbin Cao, Yue Zhang, Xia Liu
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Saddle-node bifurcation to jammed state for quasi-one-dimensional counter-chemotactic flow [PDF]
, 2010 Masashi Fujii +2 more
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Time-dependent saddle-node bifurcation: Breaking time and the point of no return in a non-autonomous model of critical transitions. [PDF]
Physica D, 2019 Li JH, Ye FX, Qian H, Huang S.
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