Results 291 to 300 of about 170,965 (333)

Control of Pitchfork and Hopf Bifurcations [PDF]

open access: possible1992 American Control Conference, 1992
A multiple-scale analysis is used to determine the effect of a linear regulator with a small gain on systems which exhibit pitchfork or Hopf bifurcations in open loop.
D. L. Mingori, P. Monkewitz, E. Henrich
openaire   +1 more source

Effects of Different Fast Periodic Excitations on the Pitchfork Bifurcation and Vibrational Resonance

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2020
We investigate the effects on the pitchfork bifurcation and the vibrational resonance of an overdamped bistable system subjected to both a slow harmonic excitation and a fast periodic excitation wi...
Jiaqi Zhang   +4 more
semanticscholar   +1 more source

A pitchfork bifurcation in the tatonnement process ★ [PDF]

open access: possibleEconomic Theory, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Additive Noise Destroys a Pitchfork Bifurcation

Journal of Dynamics and Differential Equations, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Crauel, Hans, Flandoli, Franco
openaire   +5 more sources

Pitchfork-bifurcation-delay-induced bursting patterns with complex structures in a parametrically driven Jerk circuit system

Journal of Physics A: Mathematical and Theoretical, 2018
This paper aims to present the novel routes to periodic and chaotic bursting oscillations, i.e. the different routes via delayed pitchfork bifurcations, a cascade of inverse period doubling bifurcations, Hopf bifurcations and homoclinic orbits, based on ...
Xin Ma, Shuqian Cao
semanticscholar   +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

Bifurcation and chaos detection of a fractional Duffing-van der Pol oscillator with two periodic excitations and distributed time delay.

Chaos, 2023
This paper analytically and numerically investigates the dynamical characteristics of a fractional Duffing-van der Pol oscillator with two periodic excitations and the distributed time delay.
Yufeng Zhang   +3 more
semanticscholar   +1 more source

Stochastic perturbation of pitchfork bifurcations

Structural Safety, 1989
Abstract In this paper the sensitivity to random parametric pertubation of dynamical systems that exhibit a pitchfork bifurcation is investigated. The largest Lyapunov exponent is evaluated to study the stability of the trivial solution of the linearized system. The bifurcating solution is then studied by analyzing the mean energy of the system.
S.T. Ariaratnam, Wei-Chau Xie
openaire   +2 more sources

Computing multiple pitchfork bifurcation points

Computing, 1997
For the parameter dependent nonlinear equation \(F(x,\lambda) =0\), \(F: \mathbb{R}^n \times \mathbb{R}^1 \to\mathbb{R}^n\), the generically important case \(\text{rank} \partial_x E(x^*, \lambda^*) =n-1\) is investigated. In a neighborhood of such pitchfork bifurcation point \((x^*, \lambda^*)\) of multiplicity \(p\geq 1\) the Lyapunov-Schmidt ...
Gerd Pönisch   +2 more
openaire   +3 more sources

Nonlinear Dynamic Bifurcation and Chaos Characteristics of Piezoelectric Composite Lattice Sandwich Plates

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2023
This paper investigates the nonlinear bifurcation and chaos characteristics of piezoelectric composite lattice sandwich plates at 1:3 internal resonance.
T. Ma   +4 more
semanticscholar   +1 more source

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