Results 231 to 240 of about 25,515 (266)

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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Critical saddle-node horseshoes: bifurcations and entropy

Nonlinearity, 2003
The paper deals with a one-parameter family \(\mathcal{O}(D)\) of \(C^\infty\)-diffeomorphisms \((f_\mu)_{\mu \in [-1,1]}\) of a compact disk \(D\) of a two-dimensional manifold \(M.\) It is assumed that for \(\mu < 0\) the limit set of \(f_\mu\) in \(D\) is the union of a sink \(S_\mu\) and a hyperbolic saddle set \(\Lambda_\mu\) conjugate to a ...
Isabel Rios, Lorenzo J. Díaz
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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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The Saddle-Node Separatrix-Loop Bifurcation

SIAM Journal on Mathematical Analysis, 1987
In the paper vector fields \(x'=f(x)\), \(x\in {\mathbb{R}}^ 2\), having at some point an equilibrium of saddle-node type with a separatrix loop, are studied. Such vector fields fill a codimension two submanifold \(\Sigma\) of an appropriate Banach space. Author gives analytic conditions that determine whether a two-parameter perturbation of \(x'=f(x)\)
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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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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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COHERENCE RESONANCE–INDUCED STOCHASTIC NEURAL FIRING AT A SADDLE-NODE BIFURCATION

, 2011
Coherence resonance at a saddle-node bifurcation point and the corresponding stochastic firing patterns are simulated in a theoretical neuronal model. The characteristics of noise-induced neural firing pattern, such as exponential decay in histogram of ...
Huaguang Gu, Hui-Min Zhang, Chun-ling Wei, Minghao Yang, Zhiqiang Liu, W. Ren   +5 more
semanticscholar   +1 more source

Automatic Detection of Saddle-Node-Transcritical Interactions

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2019
Dynamical systems with special structure can exhibit transcritical bifurcations of codimension one. In such systems, the interactions of transcritical bifurcations of codimension two can act as organizing centers.
L. Veen, Marvin Hoti
semanticscholar   +1 more source

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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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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