Harmonic and Nonperiodic Solutions of Velocity-Dependent Conservative Equations

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AuteurYEHOSSOU, A V REGIS
AuteurADJAI, K K DAMIEN
AuteurAKANDE, JEAN
AuteurMONSIA, MARC DELPHIN
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2022
ResumeIn this paper, we study a velocity-dependent quadratic Helmholtz equation presumed to be a conservative oscillator with exact harmonic solutions when the Hamiltonian of the system is zero with specific initial conditions. In contrast, we exhibit general harmonic and isochronous solutions for a nonzero value of the Hamiltonian of the system using the first integral method. We also prove the existence of nonperiodic solutions that have not been shown in earlier works. Consequently, the so-called velocity-dependent conservative nonlinear oscillator investigated is simply and purely a pseudo-oscillator.
DOI10.1007/s40819-021-01231-y
Autre identifiantBECDB-13296
URIhttps://dspace.uac.bj/handle/123456789/11409
Languefr
Fait partie deInt. J. Appl. Comput. Math
SujetQuadratic Helmholtz oscillator equation · Exact and general solution ·
SujetVelocity-dependent conservative oscillator · Harmonic and isochronous solution ·
SujetPseudo-oscillator
TitreHarmonic and Nonperiodic Solutions of Velocity-Dependent Conservative Equations
TypeArticle

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