Cover Image

New approach to approximate analytical solutions of a harmonic oscillator with weak to moderate nonlinear damping: Part I

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Lelas, Karlo, Pezer, Robert
Format:	Preprint
Published:	2025
Subjects:	Classical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The amplitude decay of a harmonic oscillator damped simultaneously by weak linear and nonlinear damping forces
by: Lelas, Karlo, et al.
Published: (2025)

Modeling the amplitude and energy decay of a weakly damped harmonic oscillator using the energy dissipation rate and a simple trick
by: Lelas, Karlo, et al.
Published: (2024)

Damped harmonic oscillator revisited: a new approach to energy decay in the case of Coulomb, Stokes, and Newton damping
by: Pezer, Robert, et al.
Published: (2026)

Addendum: Modeling the amplitude and energy decay of a weakly damped harmonic oscillator using the energy dissipation rate and a simple trick (2025 Eur. J. Phys. 46(1) 015004)
by: Lelas, Karlo, et al.
Published: (2024)

Driven damped harmonic oscillator revisited: energy resonance
by: Lelas, Karlo, et al.
Published: (2025)

Optimal damping adapted to a set of initial conditions
by: Lelas, Karlo
Published: (2024)

An alternative approach to several important systems in classical mechanics: energy factorization
by: Lelas, Karlo, et al.
Published: (2026)

Optimal damping of vibrating systems: dependence on initial conditions
by: Lelas, K., et al.
Published: (2023)

Algebraic solution for the classical harmonic oscillator
by: Alves, Murilo B.
Published: (2023)

On the solution and Lagrangian representation of Duffing oscillator with damping
by: Choudhuri, Amitava, et al.
Published: (2025)

On the perturbed harmonic oscillator and celestial mechanics
by: Oliveira-Cony, J., et al.
Published: (2025)

Direct, analytic solution for the electromagnetic vector potential in any gauge
by: Yang, Kuo-Ho, et al.
Published: (2025)

Increasing dynamic range of NESs by using geometric nonlinear damping
by: Gourc, Etienne, et al.
Published: (2025)

Electric potential of insulated conducting objects in presence of electric charges -- some exact and approximate results
by: Filipan, Karlo, et al.
Published: (2026)

N-body linear force law allowing analytic solutions
by: West, Joseph, et al.
Published: (2024)

Rigid body kinematics in an intuitive group-theoretic approach, as completely as possible: Part I Rotational phenomena
by: Wang, Ziyuan
Published: (2025)

The nonlinearity of helical springs: An energy-based approach
by: Ilijić, Saša, et al.
Published: (2025)

Reply to "Comments on work of Yang and Nevels 'Direct, analytic solution for the electromagnetic vector potential in any gauge' (arXiv:2507.02104)" by Onoochin (arXiv:2507.08042)
by: Yang, Kuo-Ho, et al.
Published: (2025)

How localized nonlinear losses condition the acoustical design of a self-sustained oscillator: the clarinet and its register hole
by: Szwarcberg, Nathan, et al.
Published: (2026)

Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillator
by: Rosu, H. C., et al.
Published: (2024)

Comment on work of Yang and Nevels "Direct, analytic solution for the electromagnetic vector potential in any gauge" (arXiv:2507.02104)
by: Onoochin, Vladimir
Published: (2025)

Magnetic influence on ion transport in concentrated solid solutions: An analytic investigation
by: Carlson, Timothy, et al.
Published: (2026)

Ramanujan's oscillator
by: Nyitray, Gergely
Published: (2025)

Radiation damping of a Rayleigh scatterer illuminated by a plane wave
by: Abbassi, Mohammad Ali, et al.
Published: (2024)

Attochaos I: The classically chaotic postcursor of high harmonic generation
by: Berkheim, Jonathan, et al.
Published: (2024)

Constitutive properties for isotropic energies in ideal nonlinear elasticity for solid materials: numerical evidences for invertibility and monotonicity in different stress-strain pairs
by: Ghiba, Ionel-Dumitrel, et al.
Published: (2025)

Self-stabilization of light sails by damped internal degrees of freedom
by: Rafat, M. Z., et al.
Published: (2021)

Geometric adiabatic angle in anisotropic oscillators
by: Suzuki, Fumika, et al.
Published: (2025)

Analytic solutions for the longitudinal and the transverse components of the vector potential in the Lorenz gauge
by: Yang, Kuo-Ho, et al.
Published: (2026)

Floquet scattering of shallow water waves by a vertically oscillating plate
by: Koukouraki, Magdalini, et al.
Published: (2024)

Stability analysis of Euler's elastica ring using harmonic balance
by: Siddiqui, Muhammad Sami
Published: (2025)

Discrete dynamical stabilization of a naturally diverging mass in a harmonically time-varying potential
by: Lazarus, Arnaud
Published: (2017)

Chaos in undamped, forced oscillators via stroboscopic maps
by: Vieira, Ronaldo S. S., et al.
Published: (2024)

Enhanced classical radiation damping of electronic cyclotron motion in the vicinity of the Van Hove singularity in a waveguide
by: Goto, Yuki, et al.
Published: (2023)

Stress and power as a response to harmonic excitation of a fractional anti-Zener and Zener type viscoelastic body
by: Jelić, Slađan, et al.
Published: (2023)

The Second Law as a constraint and admitting the approximate nature of constitutive assumptions
by: Acharya, Amit
Published: (2024)

On the nonlinearity of a tuning fork
by: Xiao, Lintao, et al.
Published: (2020)

How a simple pendulum inside a running elevator oscillates
by: Shi, Mingyuan, et al.
Published: (2024)

Computing leaky waves in semi-analytical waveguide models by exponential residual relaxation
by: Gravenkamp, Hauke, et al.
Published: (2025)

A methodology for formulating dynamical equations in analytical mechanics based on the principle of energy conservation
by: Zhou, Yinqiu, et al.
Published: (2021)