Results 11 to 20 of about 26,001 (267)
Saddle-Node Bifurcations in Classical and Memristive Circuits [PDF]
International Journal of Bifurcation and Chaos, 2016 This paper addresses a systematic characterization of saddle-node bifurcations in nonlinear electrical and electronic circuits. Our approach is a circuit-theoretic one, meaning that the bifurcation is analyzed in terms of the devices’ characteristics and the graph-theoretic properties of the digraph underlying the circuit.
Ignacio Garcı́a de la Vega +1 more
core +7 more sources
Saddle-node bifurcation of viscous profiles.
Physica D, 2012 Traveling wave solutions of viscous conservation laws, that are associated to Lax shocks of the inviscid equation, have generically a transversal viscous profile. In the case of a non-transversal viscous profile we show by using Melnikov theory that a parametrized perturbation of the profile equation leads generically to a saddle-node bifurcation of ...
Achleitner F, Szmolyan P.
europepmc +4 more sources
A double saddle-node bifurcation theorem
Communications on Pure & Applied Analysis, 2013 In this paper, we consider an abstract equation $F(\lambda,u)=0$ with one parameter $\lambda$, where $F\in C^p(\mathbb{R} \times X, Y)$, $p\geq 2$, is a nonlinear differentiable mapping, and $X,Y$ are Banach spaces. We apply Lyapunov-Schmidt procedure and Morse Lemma to obtain a "double" saddle-node bifurcation theorem with a two-dimensional ...
Ping Liu, Junping Shi, Yuwen Wang
semanticscholar +4 more sources
Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
Nonlinearity, 2006 The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications. We consider here the case that there is a global reinjection mechanism, because the centre manifold of the ...
Bernd Krauskopf, Bart E. Oldeman
core +10 more sources
Regularization of the Boundary-Saddle-Node Bifurcation [PDF]
Advances in Mathematical Physics, 2018 In this paper we treat a particular class of planar Filippov systems which consist of two smooth systems that are separated by a discontinuity boundary. In such systems one vector field undergoes a saddle-node bifurcation while the other vector field is ...
Xia Liu
doaj +3 more sources
Tipping Points Near a Delayed Saddle Node Bifurcation with Periodic Forcing [PDF]
SIAM Journal on Applied Dynamical Systems, 2014 We consider the effect on tipping from an additive periodic forcing in a canonical model with a saddle node bifurcation and a slowly varying bifurcation parameter.
Jielin Zhu, R. Kuske, T. Erneux
semanticscholar +3 more sources
Theoretical analysis for critical fluctuations of relaxation trajectory near a saddle-node bifurcation. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2010 A Langevin equation whose deterministic part undergoes a saddle-node bifurcation is investigated theoretically. It is found that statistical properties of relaxation trajectories in this system exhibit divergent behaviors near a saddle-node bifurcation ...
Mami Iwata, S. Sasa
semanticscholar +3 more sources
Scaling properties of saddle-node bifurcations on fractal basin boundaries [PDF]
Physical Review E, 2003 24 pages, 20 ...
Romulus Breban +2 more
openalex +7 more sources
CkSmoothness of Invariant Curves in a Global Saddle-Node Bifurcation
Journal of Differential Equations, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Todd Young
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Transient periodic behaviour related to a saddle-node bifurcation [PDF]
Journal of Physics A: Mathematical and General, 1987 We investigate transient periodic orbits of dissipative invertible maps of \({\mathbb{R}}^ 2\). Such orbits exist just before, in parameter space, a saddle-node pair is formed. We obtain numerically and analytically simple scaling laws for the duration of the transient, and for the region of initial conditions which envolve into transient periodic ...
Ruud van Damme, T. P. Valkering
openaire +5 more sources