Results 241 to 250 of about 25,515 (266)

A saddle-node bifurcation model of magnetic reconnection onset

, 2010
It was recently shown that magnetic reconnection exhibits bistability, where the Sweet–Parker (collisional) and Hall (collisionless) reconnection solutions are both attainable for the same set of system parameters. Here, a dynamical model based on saddle-
P. Cassak, M. Shay, J. Drake
semanticscholar   +1 more source

BASIN ORGANIZATION PRIOR TO A TANGLED SADDLE-NODE BIFURCATION

International Journal of Bifurcation and Chaos, 1991
Heteroclinic and homoclinic connections of saddle cycles play an important role in basin organization. In this study, we outline how these events can lead to an indeterminate jump to resonance from a saddle-node bifurcation. Here, due to the fractal structure of the basins in the vicinity of the saddle-node, we cannot predict to which available ...
Mohamed S. Soliman, J. M. T. Thompson
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Critical saddle-node bifurcations and Morse–Smale maps

Physica D: Nonlinear Phenomena, 2004
The authors study the saddle-node bifurcation in diffeomorphisms with a critical homoclinic orbit to a saddle point. More precisely, one considers a typical smooth family \(F_{\gamma}\) of diffeomorphisms that undergoes a saddle-node bifurcation at \(\gamma=0\). For \(\gamma0\).
Todd Young, Brian R. Hunt
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Observations on the geometry of saddle node bifurcation and voltage collapse in electrical power systems

, 1992
Saddle node bifurcation is a generic instability of parameterized differential equation models. The bifurcation geometry and some implications for the study of voltage collapse in electric power systems is described.
I. Dobson
semanticscholar   +1 more source

THE HAUSDORFF DIMENSION OF ATTRACTORS APPEARING BY SADDLE-NODE BIFURCATIONS

International Journal of Bifurcation and Chaos, 1991
We consider the strange attractors which appear as a result of saddle-node vanishing bifurcations in two-dimensional, smooth dynamical systems. Some estimates and asymptotic formulas for the Hausdorff dimension of such attractors are obtained. The estimates demonstrate a dependence of the dimension growth rate after the bifurcation upon the "pre ...
M. A. Shereshevsky, V. S. Afraimovich
openaire   +3 more sources

Saddle-node bifurcations of cycles in a relief valve

Nonlinear Dynamics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Numerical Computation of Saddle-Node Homoclinic Bifurcation Points

SIAM Journal on Numerical Analysis, 1993
This paper presents the convergence and stability of a numerical method for computing the intersection points of homoclinic bifurcation curves and saddle-node or transcritical bifurcation curves.
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Reversible Saddle-Node Separatrix-Loop Bifurcation

We describe the unfolding of a special variant of the codimension-two Saddle-Node Separatrix-Loop (SNSL) bifurcation that occurs in systems with time-reversibility. While the classical SNSL bifurcation can be characterized as the collision of a saddle-node equilibrium with a limit cycle, the reversible variant (R-SNSL) is characterised by as the ...
Burylko, Oleksandr, Wolfrum, Matthias, Yanchuk, Serhiy   +2 more
openaire   +1 more source

Saddle-node bifurcation and modulational instability associated with the pulse propagation of dust ion-acoustic waves in a viscous dusty plasma: A complex nonlinear Schrödinger equation

, 2007
Using the standard reductive perturbation technique, a nonlinear Schrodinger equation (NLSE) with complex coefficients is derived in a dusty plasma consisting of positive ions, nonthermal electrons, and charged dust grains.
A. P. Misra, K. Chowdhury, A. Chowdhury
semanticscholar   +1 more source

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.
openaire   +2 more sources