<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The pitchfork bifurcation and vibrational resonance phenomenon are analytically and numerically investigated in the neutral delayed system. The results show that the neutral delayed time induces the pitchfork bifurcation transiting between supercritical and subcritical cases while the neutral delayed strength may induce supercritical pitchfork bifurcation. The neutral delayed time can also induce the periodic or quasi-periodic vibrational resonance. This period simultaneously contains the period of the low-frequency harmonic excitation and period of the high-frequency harmonic excitation. The results extend the investigations of the pitchfork bifurcation and vibrational resonance.</p>
</abstract>

The pitchfork bifurcation and vibrational resonance phenomenon are analytically and numerically investigated in the neutral delayed system. The results show that the neutral delayed time induces the pitchfork bifurcation transiting between supercritical and subcritical cases while the neutral delayed strength may induce supercritical pitchfork bifurcation. The neutral delayed time can also induce the periodic or quasi-periodic vibrational resonance. This period simultaneously contains the period of the low-frequency harmonic excitation and period of the high-frequency harmonic excitation. The results extend the investigations of the pitchfork bifurcation and vibrational resonance.

Pitchfork bifurcation and vibrational resonance in a neutral delayed system

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Pitchfork bifurcation and vibrational resonance in a neutral delayed system"}

The pitchfork bifurcation and vibrational resonance phenomenon are analytically and numerically investigated in the neutral delayed system. The results show...

Pitchfork bifurcation and vibrational resonance in a neutral delayed system

Publié en ligne: 15 févr. 2024

Pages: -

Reçu: 31 déc. 2023

Accepté: 29 janv. 2024

DOI: https://doi.org/10.2478/amns-2024-0012

Mots clés
Neutral delayed time, pitchfork bifurcation, vibrational resonance

© 2024 Bin Zhang, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Pitchfork bifurcation and vibrational resonance in a neutral delayed system

Publié en ligne: 15 févr. 2024

Pages: -

Reçu: 31 déc. 2023

Accepté: 29 janv. 2024

DOI: https://doi.org/10.2478/amns-2024-0012

Mots clésNeutral delayed time, pitchfork bifurcation, vibrational resonance

© 2024 Bin Zhang, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
Neutral delayed time, pitchfork bifurcation, vibrational resonance