On the existence of periodic oscillations for pendulum-type equations

On the existence of periodic oscillations for pendulum-type equations

We provide new sufficient conditions for the existence of T-periodic solutions for the ϕ-laplacian pendulum equation (ϕ(x′))′ + k x′ + a sin x = e(t), where e ∈ C͠T. Our main tool is a continuation theorem due to Capietto, Mawhin and Zanolin and we improve or complement previous results in the liter...

Fuld beskrivelse

Bibliografiske detaljer
Hovedforfatter:	Cid J. Ángel
Format:	Article
Sprog:	English
Udgivet:	De Gruyter 2020-05-01
Serier:	Advances in Nonlinear Analysis
Fag:	periodic solution ϕ-laplacian pendulum equation relativistic pendulum continuation theorem 34c25
Online adgang:	https://doi.org/10.1515/anona-2020-0222

Lignende værker

Periodic solutions of the forced pendulum: classical vs relativistic
af: Jean Mawhin
Udgivet: (2010-12-01)

Periodic oscillations of the relativistic pendulum with friction
af: Qihuai Liu, et al.
Udgivet: (2017-02-01)

On the solvability of the periodically forced relativistic pendulum equation on time scales
af: Pablo Amster, et al.
Udgivet: (2020-11-01)

Periodic solution for ϕ-Laplacian neutral differential equation
af: Yao Shaowen, et al.
Udgivet: (2019-03-01)

The pendulum : scientific, historical, philosophical and educational perspectives /
af: Matthews, Michael R., et al.
Udgivet: (2005)

A necessary and sufficient condition for existence and uniqueness of periodic solutions for a p-Laplacian Liénard equation
af: Liehui Zhang, et al.
Udgivet: (2011-08-01)

Stabilization of inverted pendulum by the genetic algorithm /
af: Safa'ai Deris, 1955-, et al.

Existence of periodic solutions of pendulum-like ordinary and functional differential equations
af: László Hatvani
Udgivet: (2020-12-01)

Existence of solutions to n-dimensional pendulum-like equations
af: Maria Cristina Mariani, et al.
Udgivet: (2004-10-01)

On the Foucault pendulum
af: Eduardo Moraes Diniz
Udgivet: (2023-03-01)

Development of a real time payload angle measurement of a pendulum system /
af: Muhammad Ammar Masdim, 1994-, author, et al.
Udgivet: (2018)

Development of a real time payload angle measurement of a pendulum system /
af: Muhammad Ammar Masdim, 1994-, author
Udgivet: (2018)

Application of Lagrange equations to 2D double spring-pendulum in generalized coordinates
af: N.O. Nenuwe
Udgivet: (2019-12-01)

The experimental multi-arm pendulum on a cart: A benchmark system for chaos, learning, and control
af: Kadierdan Kaheman, et al.
Udgivet: (2023-09-01)

Low-cost double pendulum for high-quality data collection with open-source video tracking and analysis
af: Audun D. Myers, et al.
Udgivet: (2020-10-01)

Simple pendulum in a rotating reference frame
af: David Velasco Villamizar
Udgivet: (2024-06-01)

Closed-Form Solutions to a Forced Damped Rotational Pendulum Oscillator
af: Alvaro H. Salas, et al.
Udgivet: (2022-10-01)

Periodic solutions for second order differential equations with indefinite singularities
af: Lu Shiping, et al.
Udgivet: (2019-09-01)

Existence and stability of periodic solutions for a forced pendulum with time-dependent damping
af: Fang-Fang Liao, et al.
Udgivet: (2018-07-01)

Existence of periodic solutions for Rayleigh equations with state-dependent delay
af: Jehad O. Alzabut, et al.
Udgivet: (2012-05-01)

Nonlinear Controller for an Inverted Pendulum Using the Trigonometric Function
af: Michal Lower
Udgivet: (2023-11-01)

Modeling, Simulation, and Analysis of a Variable-Length Pendulum Water Pump
af: Godiya Yakubu, et al.
Udgivet: (2021-12-01)

The pendulum : a case study in physics /
af: 258149 Baker, Gregory L., et al.
Udgivet: (2005)

Optimal control for an inverted pendulum system /
af: 426114 Suhaini Sarwan
Udgivet: (2000)

Rekabentuk dan kawalan ke atas bandul tersongsang
af: 413844 Rozmizan Yaakub

Fourier analysis of nonlinear pendulum oscillations
af: Inderpreet Singh, et al.

Performance and Stability Margins Comparison of Pole Placement and Optimal Controllers using Cart-Inverted Pendulum System
af: Mubashir Usman
Udgivet: (2021-12-01)

Advanced control of wheeled inverted pendulum systems /
af: Li, Zhijun, et al.
Udgivet: (2013)

Modelling and controlling an inverted pendulum with matlab simulink /
af: 428362 Faizul Azwan Zainal Abidin
Udgivet: (2001)

UNILATERAL DISTALIZATION OF MAXILLARY MOLAR BY PENDULUM APPLIANCE
af: Safra Mauna, et al.
Udgivet: (2006-04-01)

The cubic period-distance relation for the Kate reversible pendulum
af: Rossi Michele, et al.
Udgivet: (2005-12-01)

The noisy pendulum /
af: 278339 Gitterman, Moshe
Udgivet: (2008)

Comparison of various methods to control an inverted pendulum system /
af: 382662 Shah Khairul Faizul Ilias
Udgivet: (2004)

Pendulum Energy Harvesters: A Review
af: Jiatong Chen, et al.
Udgivet: (2022-11-01)

Three Spreadsheet Models Of A Simple Pendulum
af: Jan Benacka
Udgivet: (2008-10-01)

Accurate clock pendulums /
af: Matthys, Robert J., 1929-
Udgivet: (2004)

State and parameter estimation of a rotational inverted pendulum system /
af: Vahid Bahtaj Siakal Mahalleh, 1984-, et al.
Udgivet: (2013)

Analysis of various control strategies applied to an inverted pendulum system /
af: 303285 Yan, Pek Loon
Udgivet: (2001)

GALILEO’S PENDULUM AS A MAGNETIC BALANCE FOR STUDYING CHEMICAL MAGNETISM AT HOME
af: Henrique E. Toma
Udgivet: (2021-03-01)

State and parameter estimation of a rotational inverted pendulum [electronic resource /
af: Vahid Bahtaj Siakal Mahalleh, 1984-
Udgivet: (2013)