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Keywords: Inverted Pendulum
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Journal Articles

Attractors' Analysis and Bifurcation Diagrams for an Impacting Inverted Pendulum in the Presence of a Two-Terms Harmonic Excitation

Milena Petrini, Lucio Demeio, Stefano Lenci
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2023, 18(10): 101004.
Paper No: CND-23-1077
https://doi.org/10.1115/1.4063034
Published Online: August 11, 2023
...Milena Petrini; Lucio Demeio; Stefano Lenci In this work, we examine the nonlinear dynamics of an inverted pendulum between lateral rebounding barriers. We continue the numerical investigation started in (Demeio et al., 2006, “Response Scenario and Non-Smooth Features in the Nonlinear Dynamics...
View Article titled, Attractors&#x27; Analysis and Bifurcation Diagrams for an Impacting <span class="search-highlight">Inverted</span> <span class="search-highlight">Pendulum</span> in the Presence of a Two-Terms Harmonic Excitation
Open the PDF for Attractors' Analysis and Bifurcation Diagrams for an Impacting <span class="search-highlight">Inverted</span> <span class="search-highlight">Pendulum</span> in the Presence of a Two-Terms Harmonic Excitation in another window
Topics: Attractors, Bifurcation
Journal Articles

Nonlinear Dynamics of Inverted Pendulum Driven by Airflow

B. R. Nana Nbendjo
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011013.
https://doi.org/10.1115/1.4004963
Published Online: October 24, 2011
...B. R. Nana Nbendjo A nonlinear model of inverted pendulum that exhibit unbounded single well φ 6 potential is described. The complete equation for one-dimensional wind-induced sway is derived. The harmonic balance method along with Melnikov theory are used to seek the effects of aerodynamic drag...
View Article titled, Nonlinear Dynamics of <span class="search-highlight">Inverted</span> <span class="search-highlight">Pendulum</span> Driven by Airflow
Open the PDF for Nonlinear Dynamics of <span class="search-highlight">Inverted</span> <span class="search-highlight">Pendulum</span> Driven by Airflow in another window
Topics: Chaos, Pendulums, Drag (Fluid dynamics), Air flow
Journal Articles

Response Scenario and Nonsmooth Features in the Nonlinear Dynamics of an Impacting Inverted Pendulum

Stefano Lenci, Lucio Demeio, Milena Petrini
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2006, 1(1): 56–64.
https://doi.org/10.1115/1.1944734
Published Online: May 4, 2005
...Stefano Lenci; Lucio Demeio; Milena Petrini In this work, we perform a systematic numerical investigation of the nonlinear dynamics of an inverted pendulum between lateral rebounding barriers. Three different families of considerably variable attractors—periodic, chaotic, and rest positions...
View Article titled, Response Scenario and Nonsmooth Features in the Nonlinear Dynamics of an Impacting <span class="search-highlight">Inverted</span> <span class="search-highlight">Pendulum</span>
Open the PDF for Response Scenario and Nonsmooth Features in the Nonlinear Dynamics of an Impacting <span class="search-highlight">Inverted</span> <span class="search-highlight">Pendulum</span> in another window
Topics: Attractors, Bifurcation, Pendulums, Excitation, Nonlinear dynamics, Chaos