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Pitchfork bifurcation for non-autonomous interval maps
Journal of Difference Equations and Applications, 2009In this work, we investigate attracting periodic orbits for non-autonomous discrete dynamical systems with two maps using a new approach. We study some types of bifurcation in these systems. We show that the pitchfork bifurcation plays an important role in the creation of attracting orbits in families of alternating systems with negative Schwarzian ...
D'ANIELLO, Emma, OLIVEIRA H.
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Pitchfork bifurcation and vibrational resonance in a fractional-order Duffing oscillator
Pramana - Journal of Physics, 2013Jianhua Yang
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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
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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
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Hopf-pitchfork bifurcation and periodic phenomena in nonlinear financial system with delay
Chaos, Solitons and Fractals, 2012Yuting Ding, Weihua Jiang, Hongbin Wang
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Control of Pitchfork and Hopf Bifurcations [PDF]
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
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A pitchfork bifurcation in the tatonnement process ★ [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Additive Noise Destroys a Pitchfork Bifurcation
Journal of Dynamics and Differential Equations, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Crauel, Hans, Flandoli, Franco
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Two paths to finding the pitchfork bifurcation in motivation dynamics
IEEE Conference on Decision and Control, 2019We perform two different model reduction techniques on a dynamical system recently used to develop mechanisms for switching between low-level control vector fields.
Paul B. Reverdy
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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
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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
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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
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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
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