Results 261 to 270 of about 1,648,544 (312)

Fold Bifurcations in Discontinuous Systems

Volume 7A: 17th Biennial Conference on Mechanical Vibration and Noise, 1999
Abstract This paper treats discontinuous fold bifurcations of periodic solutions of discontinuous systems. It is shown how jumps in the fundamental solution matrix lead to jumps of the Floquet multipliers of periodic solutions. A Floquet multiplier of a discontinuous system can jump through the unit circle causing a discontinuous ...
Leine, R.I., Campen, van, D.H.
openaire   +2 more sources

Bifurcations in an asymmetric vocal-fold model

The Journal of the Acoustical Society of America, 1995
A two-mass model of vocal-fold vibrations is analyzed with methods from nonlinear dynamics. Bifurcations are located in parameter planes of physiological interest (subglottal pressure, stiffness of the folds). It is shown that a sufficiently large tension imbalance of the left and right vocal fold induces bifurcations to subharmonic regimes, toroidal ...
I, Steinecke, H, Herzel
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Fold-Hopf bifurcation, steady state, self-oscillating and chaotic behavior in an electromechanical transducer with nonlinear control

Communications in Nonlinear Science and Numerical Simulation, 2012
M. Pérez-Molina, M. Pérez-Polo
semanticscholar   +3 more sources

BIFURCATIONS OF RELAXATION OSCILLATIONS NEAR FOLDED SADDLES

International Journal of Bifurcation and Chaos, 2005
Relaxation oscillations are periodic orbits of multiple time scale dynamical systems that contain both slow and fast segments. The slow–fast decomposition of these orbits is defined in the singular limit. Geometric methods in singular perturbation theory classify degeneracies of these decompositions that occur in generic one-parameter families of ...
Guckenheimer, John, Hoffman, Kathleen, Weckesser, Warren   +2 more
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Bifurcations in a vocal fold model

Nonlinear Dynamics, 1995
An autonomous fourth order model of vocal fold vibrations is proposed. Each fold is represented by a lower and upper mass, and the aerodynamic forces are derived from a modified Bernoulli equation. The model exhibits many features of normal phonation in a wide parameter region.
Hanspeter Herzel, Carsten Knudsen
openaire   +1 more source

Fold-Pitchfork Bifurcation, Arnold Tongues and Multiple Chaotic Attractors in a Minimal Network of Three Sigmoidal Neurons

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2018
Bifurcations and chaos in a network of three identical sigmoidal neurons are examined. The network consists of a two-neuron oscillator of the Wilson–Cowan type and an additional third neuron, which has a simpler structure than chaotic neural networks in ...
Y. Horikawa, H. Kitajima, H. Matsushita
semanticscholar   +1 more source

Fold points and singularity induced bifurcation in inviscid transonic flow

Physics Letters, Section A: General, Atomic and Solid State Physics, 2012
W. Marszalek
semanticscholar   +3 more sources

Discontinuous fold bifurcations in mechanical systems

Archive of Applied Mechanics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leine, R.I., Campen, van, D.H.
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On cyclic fold bifurcations in nonlinear systems

2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353), 2002
Approximations to recover the branch of multiple periodic solutions starting from a Hopf bifurcation under the variation of the main bifurcation parameter are proposed. This task is accomplished with a normal form method and, simultaneously, by using a frequency domain approach.
G. Caladrini, D. Berns, E. Paolini, J. Moiola   +3 more
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Hidden Bursting Firings and Bifurcation Mechanisms in Memristive Neuron Model With Threshold Electromagnetic Induction

IEEE Transactions on Neural Networks and Learning Systems, 2020
Memristors can be employed to mimic biological neural synapses or to describe electromagnetic induction effects. To exhibit the threshold effect of electromagnetic induction, this paper presents a threshold flux-controlled memristor and examines its ...
H. Bao, Aihuang Hu, Wenbo Liu, B. Bao
semanticscholar   +1 more source