Universal Scaling in Saddle-Node Bifurcation Cascades (I)
A saddle-node bifurcation cascade is studied in the logistic equation, whose bifurcation points follow an expression formally identical to the one given by Feigenbaum for period doubling cascade. The Feigenbaum equation is generalized because it rules several objects, which do not have to be orbits.
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Proving the existence of localized patterns and saddle node bifurcations in 1D activator-inhibitor type models [PDF]
Dominic Blanco +2 more
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Saddle-node bifurcation during the relaminarization of turbulent puffs in pipe [PDF]
Basheer A. Khan +3 more
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Emergence of ultradiscrete states due to phase lock caused by saddle-node bifurcation in discrete limit cycles [PDF]
Yoshihiro Yamazaki, Shousuke Ohmori
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Rate-Induced Tipping and Saddle-Node Bifurcation for Quadratic Differential Equations with Nonautonomous Asymptotic Dynamics [PDF]
Iacopo P. Longo +3 more
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Stabilization and complex dynamics initiated by pulsed force in the Rössler system near saddle-node bifurcation [PDF]
Nataliya Stankevich
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Determination of Closest Saddle Node Bifurcation Point for Power System Using Sine Cosine and Rao-1 Metaphor-Less Algorithms [PDF]
A. Upadhyay, S.C. Choube
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Existence and uniqueness of a saddle-node bifurcation point for nonlinear equations in general domains [PDF]
Yavdat Il’yasov
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Generic saddle-node bifurcation for cascade second order ODEs on manifolds [PDF]
Milan Medveď
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