Results 181 to 190 of about 577,183 (211)

Saddle-node bifurcations for hyperbolic sets

Ergodic Theory and Dynamical Systems, 2002
Hyperbolic sets are robust under perturbations: they persist on an open set of the parameter space. In this paper we investigate the boundary of this open set. Generalizing the theory of fixed points we define saddle-node bifurcations for hyperbolic sets K with one-dimensional unstable directions.
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Saddle node bifurcation in a PLL

Proceedings of Southeastcon '93, 2002
New results are given on the phenomenon of false lock in second-order, Type I PLLs (phase-locked loops) with a constant frequency reference of /spl omega//sub i/ and a VCO (voltage-controlled oscillator) quiescent frequency of /spl omega//sub o/. Of interest here is the stable false lock state whose frequency error approaches /spl omega//sub i/-/spl ...
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Quantum manifestations of saddle-node bifurcations

Chemical Physics Letters, 1995
Abstract We show that the periodic orbits originating from a saddle-node bifurcation have a profound influence on the topology of the vibrational wavefunctions of the LiNC/LiCN molecular system described by a realistic and complex potential energy surface. The underlying classical structures (manifolds) are examined in detail.
F. Borondo, A.A. Zembekov, R.M. Benito
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Saddle–Node Bifurcation Leading to Survival Mosquitoes

International Journal of Bifurcation and Chaos
A saddle–node bifurcation is demonstrated in a model of mosquito population growth. This bifurcation helps us understand the dynamics of two stages in the model: the aquatic stage (which includes the egg, larva, and pupa) and the nonaquatic stage (the mature mosquito).
Luis Franco-Pérez, Mayra Núñez-López
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Saddle-Node Bifurcations of Cycles in a Relief Valve

Nonlinear Dynamics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 \(\gamma0\).
Hunt, Brian R., Young, Todd R.
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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 ...
Afraimovich, V. S., Shereshevskij, M. A.
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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 ...
Soliman, Mohamed S., Thompson, J. M. T.
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On saddle-node bifurcation and chaos of satellites

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author considers a model of satellite consisting of two masses connected by a rigid rod. The center of mass \(K\) moves on a Keplerian orbit and air drag is taken into account. When \(K\) moves on a circular orbit, the attitude dynamics is governed by an autonomous system of equations while non-zero eccentricity of the orbit of \(K\) introduces ...
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Validated Saddle-Node Bifurcations and Applications to Lattice Dynamical Systems

SIAM Journal on Applied Dynamical Systems, 2016
Summary: The use of rigorous verification methods is a powerful tool which permits progress in the analysis of dynamical processes that is not possible using purely analytical techniques. In this paper we develop a set of tools for branch validation, which allows for the rigorous verification of branch behavior, bifurcation, and solution index on ...
Evelyn Sander, Thomas Wanner
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