Results 211 to 220 of about 12,799 (220)

Discontinuous immittance due to a saddle node bifurcation

Journal of Electroanalytical Chemistry, 1998
The Frumkin isotherm for the electrosorption reaction is S-shaped for the interaction parameter values lower than a critical level, leading to a hysteresis loop during steady-state studies. It is shown that isotherm branch switching phenomena can occur during the study of the electrosorption reaction by electrochemical impedance spectroscopy.
B. Le Gorrec, Claude Montella, Jean-Paul Diard, Fabienne Berthier   +3 more
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The Saddle-Node Separatrix-Loop Bifurcation

SIAM Journal on Mathematical Analysis, 1987
We study vector fieldx $\dot x = f(x)$, $x \in \mathbb{R}^2 $, having at some point an equilibrium of saddle-node type with a separatrix loop. Such vector fields fill a codimension two submanifold $\sum $, of an appropriate Banach space. We give analytic conditions that determine whether a two-parameter perturbation of $\dot x = f(x)$ is transverse to $
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Control of saddle-node bifurcations in a power system

Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204), 2002
A bifurcation analysis and controller for a basic power system are presented. The controller, whose objective is to eliminate the saddle-node bifurcation presented in the system, is based on the internal-model control structure for nonlinear systems.
J.V. Mariscal, J.A. Gallegos, D.I.R. Almeida, C.A. Hernandez   +3 more
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Control of the saddle-node and transcritical bifurcations

IFAC Proceedings Volumes, 2004
Abstract In this paper, the control of the saddle-node and transcritical bifurcations in nonlinear systems is treated. A new approach is presented to find sufficient conditions in terms of the original vector fields. The analysis of the system dynamics is reduced to dimension one through the center manifold theorem.
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Critical saddle-node horseshoes: bifurcations and entropy

Nonlinearity, 2003
In this paper we study one-parameter families (f?)?[?1,1] of two-dimensional diffeomorphisms unfolding critical saddle-node horseshoes (say at ? = 0) such that f? is hyperbolic for negative ?. We describe the dynamics at some isolated secondary bifurcations that appear in the sequel of the unfolding of the initial saddle-node bifurcation.
Isabel Rios, Lorenzo J. Díaz
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Breaking of symmetry in the saddle-node Hopf bifurcation

Physics Letters A, 1991
Abstract The normal form for the saddle-node Hopf bifurcation has an intrinsic symmetry which need not be present in nearby vector fields. Adding terms to the normal form which are incompatible with the symmetry leads to new bifurcation sequences which are organized by a pair of heteroclinic tangencies and by homoclinic bifurcations.
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Asymptotics of the Solution of a Differential Equation in a Saddle–Node Bifurcation

Computational Mathematics and Mathematical Physics, 2019
A second-order semilinear differential equation with slowly varying parameters is considered. With frozen parameters, the corresponding autonomous equation has fixed points: a saddle point and stable nodes. Upon deformation of the parameters, the saddle–node pair merges. An asymptotic solution near such a dynamic bifurcation is constructed. It is found
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Discontinuous impedance near a saddle-node bifurcation

Journal of Electroanalytical Chemistry, 1996
Jean-Paul Diard, Claude Montella, Fabienne Berthier   +2 more
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Saddle-node bifurcations for hyperbolic sets

Ergodic Theory and Dynamical Systems, 2002
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On saddle-node bifurcation and chaos of satellites

Nonlinear Analysis: Theory, Methods & Applications, 1997
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