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Truly Nonlinear Oscillations

https://doi.org/10.1142/7561
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inferred← citeshttps://doi.org/10.2139/ssrn.4073572openalex-extracted
inferred← citeshttps://doi.org/10.2139/ssrn.4780195openalex-extracted
Analytic Solutions for Strongly Nonlinear Oscillators by the Modified Iteration Method
inferred← citeshttps://doi.org/10.1002/9780470977859.ch1openalex-snapshot
Background: On Georg Duffing and the Duffing Equation
inferred← citeshttps://doi.org/10.1002/9781118567210.ch1openalex-snapshot
Mechanics
inferred← citeshttps://doi.org/10.1002/9781119128052.ch2openalex-snapshot
Mathematical Modeling and Analysis of Bistable Structural Dynamics
inferred← citeshttps://doi.org/10.1002/mma.10795openalex-snapshot
On a Generalized Superellipse: From Models to Applications
inferred← citeshttps://doi.org/10.1002/mma.3575openalex-snapshot
Integrable Abel equations and Vein's Abel equation
inferred← citeshttps://doi.org/10.1002/zamm.70550openalex-snapshot
A Frobenius–Euler Polynomial Matrix‐Collocation Method for Nonlinear Duffing‐Type Oscillators: Structural Conditioning, Spectral Convergence, and Piecewise Long‐Time Integration
inferred← citeshttps://doi.org/10.1007/978-3-030-53172-0_1openalex-snapshot
Oscillators and Oscillatory Responses in Practical and Theoretical Systems
inferred← citeshttps://doi.org/10.1007/978-3-030-53172-0_2openalex-snapshot
Free Conservative Oscillators: From Linear to Nonlinear Systems
inferred← citeshttps://doi.org/10.1007/978-3-031-24587-9_3openalex-snapshot
Egg 2: A First Order Differential Equation with Exponent
inferred← citeshttps://doi.org/10.1007/978-3-031-24587-9_5openalex-snapshot
Egg 4: A Second Order ODE with Exponent
inferred← citeshttps://doi.org/10.1007/978-3-031-45101-0_9openalex-snapshot
Generalized Krylov-Bogoliubov Method for Solving Strong Nonlinear Vibration
inferred← citeshttps://doi.org/10.1007/978-3-319-58826-1_2openalex-snapshot
Nonlinear Oscillators
inferred← citeshttps://doi.org/10.1007/978-3-319-58826-1_4openalex-snapshot
Free Vibrations
inferred← citeshttps://doi.org/10.1007/978-3-319-58826-1_5openalex-snapshot
Oscillators with the Time Variable Parameters
inferred← citeshttps://doi.org/10.1007/978-3-658-14136-3_5openalex-snapshot
Nichtlineare und parametrische Systeme
inferred← citeshttps://doi.org/10.1007/978-94-024-1542-1_1openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1007/978-94-024-1542-1_2openalex-snapshot
Classical Methods
inferred← citeshttps://doi.org/10.1007/978-94-024-1542-1_3openalex-snapshot
Energy Balance Methods
inferred← citeshttps://doi.org/10.1007/978-981-10-4642-1_35openalex-snapshot
Improvement of Analytical Solution to the Inverse Truly Nonlinear Oscillator by Extended Iterative Method
inferred← citeshttps://doi.org/10.1007/978-981-10-4666-7_14openalex-snapshot
Strongly Nonlinear Lattices
inferred← citeshttps://doi.org/10.1007/978-981-10-4666-7_15openalex-snapshot
Nonlinear Vibrations of the Carbon Nanotubes
inferred← citeshttps://doi.org/10.1007/978-981-10-8471-3_45openalex-snapshot
A New Analytical Technique for Solving Nonlinear Non-smooth Oscillators Based on the Rational Harmonic Balance Method
inferred← citeshttps://doi.org/10.1007/978-981-19-9307-7_53openalex-snapshot
An Analytic Solution for the Helmholtz-Duffing Oscillator by Modified Mickens’ Extended Iteration Procedure
inferred← citeshttps://doi.org/10.1007/s00419-021-02049-2openalex-snapshot
Analysis of a bio-inspired multistage nonlinear vibration isolator: an elliptic harmonic balance approach
inferred← citeshttps://doi.org/10.1007/s00707-012-0723-zopenalex-snapshot
Comparison of two iteration procedures for a class of nonlinear jerk equations
inferred← citeshttps://doi.org/10.1007/s00707-012-0785-yopenalex-snapshot
Van der Pol oscillator with time variable parameters
inferred← citeshttps://doi.org/10.1007/s10255-019-0847-1openalex-snapshot
On the Integrability of the Abel and of the Extended Liénard Equations
inferred← citeshttps://doi.org/10.1007/s10255-022-1026-3openalex-snapshot
Almost Periodic Solutions by the Harmonic Balance Method
inferred← citeshttps://doi.org/10.1007/s10665-012-9542-4openalex-snapshot
Analytical approximations to the solutions for a generalized oscillator with strong nonlinear terms
inferred← citeshttps://doi.org/10.1007/s10665-015-9812-zopenalex-snapshot
Exact solutions of the Liénard- and generalized Liénard-type ordinary nonlinear differential equations obtained by deforming the phase space coordinates of the linear harmonic oscillator
inferred← citeshttps://doi.org/10.1007/s10910-013-0282-0openalex-snapshot
A strategy for selecting the frequency in trigonometrically-fitted methods based on the minimization of the local truncation errors and the total energy error
inferred← citeshttps://doi.org/10.1007/s11012-010-9365-1openalex-snapshot
Oscillators with a quasi-constant restoring force: approximations for motion
inferred← citeshttps://doi.org/10.1007/s11012-024-01912-0openalex-snapshot
A simple method for solving damped Duffing oscillators
inferred← citeshttps://doi.org/10.1007/s11071-012-0672-zopenalex-snapshot
Noise-induced chaos in the elastic forced oscillators with real-power damping force
inferred← citeshttps://doi.org/10.1007/s11071-013-1075-5openalex-snapshot
Complexification-averaging method via the averaged Lagrangian
inferred← citeshttps://doi.org/10.1007/s11071-014-1605-9openalex-snapshot
Stochastic responses of viscoelastic system with real-power stiffness under randomly disordered periodic excitations
inferred← citeshttps://doi.org/10.1007/s11071-017-3370-zopenalex-snapshot
Approximations for period-1 rotation of vertically and horizontally excited parametric pendulum
inferred← citeshttps://doi.org/10.1007/s11071-017-3741-5openalex-snapshot
Externally excited purely nonlinear oscillators: insights into their response at different excitation frequencies
inferred← citeshttps://doi.org/10.1007/s11071-019-05284-zopenalex-snapshot
When does a periodic response exist in a periodically forced multi-degree-of-freedom mechanical system?
inferred← citeshttps://doi.org/10.1007/s11071-021-06665-zopenalex-snapshot
Existence of quasi-periodic responses in quasi-periodically forced nonlinear mechanical systems
inferred← citeshttps://doi.org/10.1007/s11071-021-06671-1openalex-snapshot
Vibration absorption of a rectangular plate supporting a DC motor with a TLCD
inferred← citeshttps://doi.org/10.1007/s11071-021-07085-9openalex-snapshot
Stationary and nonstationary nonlinear dynamics of the finite sine-lattice
inferred← citeshttps://doi.org/10.1007/s11071-023-08737-8openalex-snapshot
Performance analysis and optimization of bimodal nonlinear energy sink
inferred← citeshttps://doi.org/10.1007/s11868-025-00727-1openalex-snapshot
On higher-order generalized exponential kernel fractional derivatives: Application to a fractional Helmholtz-Duffing equation
inferred← citeshttps://doi.org/10.1007/s40430-015-0352-2openalex-snapshot
Analysis on jump and bifurcation phenomena in the forced vibration of nonlinear cantilever beam using HBM
inferred← citeshttps://doi.org/10.1007/s40819-019-0702-3openalex-snapshot
Uncertainties in the Periodic Solution of a Truly Non-linear Oscillator Differential Equation Using MDTM
inferred← citeshttps://doi.org/10.1007/s40819-023-01488-5openalex-snapshot
Truly Nonlinear Oscillator with Limit Cycles and Harmonic Solutions
inferred← citeshttps://doi.org/10.1007/s42401-021-00083-0openalex-snapshot
Harmonic balance analysis and simulations of spacecraft rendezvous and formation flying dynamics
inferred← citeshttps://doi.org/10.1007/s42417-022-00544-6openalex-snapshot
Dynamics and Stability of Metal Cutting Circular Saws with Distributed and Lubricated Guides
inferred← citeshttps://doi.org/10.1007/s42417-022-00596-8openalex-snapshot
Tuned Liquid Column for Dampering Rotational Motion of a Nonlinear Horizontal Deck
inferred← citeshttps://doi.org/10.1007/s42417-022-00642-5openalex-snapshot
Natural Response of Non-smooth Oscillators Using Homotopy Analysis Combined with Galerkin Projections
inferred← citeshttps://doi.org/10.1007/s42417-024-01353-9openalex-snapshot
Method of Polynomial Vectors for Solving Nonlinear Vibrations with Multiple Time Scales
inferred← citeshttps://doi.org/10.1007/s42417-024-01357-5openalex-snapshot
A Note on a Simple Equation for Solving Nonlinear Undamped Oscillations
inferred← citeshttps://doi.org/10.1007/s42417-026-02762-8openalex-snapshot
Nonlinear Dynamics of Forced and Damped Oscillators with Hertzian Contact Interaction
inferred← citeshttps://doi.org/10.1007/s43994-024-00148-8openalex-snapshot
Haque’s approach with mickens’ iteration method to find a modified analytical solution of nonlinear jerk oscillator containing displacement time velocity and time acceleration
inferred← citeshttps://doi.org/10.1016/j.amc.2011.12.012openalex-snapshot
Comments on ‘A finite extensibility nonlinear oscillator’
inferred← citeshttps://doi.org/10.1016/j.amc.2014.08.005openalex-snapshot
Exact and approximate solutions for the anti-symmetric quadratic truly nonlinear oscillator
inferred← citeshttps://doi.org/10.1016/j.camwa.2011.06.016openalex-snapshot
Oscillators with nonlinear elastic and damping forces
inferred← citeshttps://doi.org/10.1016/j.cnsns.2014.10.012openalex-snapshot
Nonlinear oscillator with power-form elastic-term: Fourier series expansion of the exact solution
inferred← citeshttps://doi.org/10.1016/j.cnsns.2019.104895openalex-snapshot
Exact steady states of periodically forced and essentially nonlinear and damped oscillator
inferred← citeshttps://doi.org/10.1016/j.ifacol.2015.09.269openalex-snapshot
Experiment on Parameter Identification of a Time Delay Coupled Nonlinear System
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2017.03.007openalex-snapshot
On the response of purely nonlinear oscillators: An Ateb-type solution for motion and an Ateb-type external excitation
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2020.103590openalex-snapshot
Approximations to limit cycles for a nonlinear multi-degree-of-freedom system with a cubic nonlinearity through combining the harmonic balance method with perturbation techniques
inferred← citeshttps://doi.org/10.1016/j.jcp.2011.04.033openalex-snapshot
A smart nonstandard finite difference scheme for second order nonlinear boundary value problems
inferred← citeshttps://doi.org/10.1016/j.joems.2013.02.003openalex-snapshot
Modified solutions of some oscillators by iteration procedure
inferred← citeshttps://doi.org/10.1016/j.jsv.2017.06.017openalex-snapshot
New modified multi-level residue harmonic balance method for solving nonlinearly vibrating double-beam problem
inferred← citeshttps://doi.org/10.1016/j.mcm.2011.06.024openalex-snapshot
Notes on “Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms”
inferred← citeshttps://doi.org/10.1016/j.mechrescom.2012.04.002openalex-snapshot
Vibration of a two-mass system with non-integer order nonlinear connection
inferred← citeshttps://doi.org/10.1016/j.proeng.2017.09.124openalex-snapshot
From a chain of nonlinear oscillators to nonlinear longitudinal vibrations of an elastic bar: the case of pure nonlinearity
inferred← citeshttps://doi.org/10.1016/j.rinp.2022.105602openalex-snapshot
Numerical Analysis of a Fractal Modification of Yao-Cheng Oscillator
inferred← citeshttps://doi.org/10.1016/j.rinp.2022.106108openalex-snapshot
Numerical analysis of a fractional nonlinear oscillator with coordinate-dependent mass
inferred← citeshttps://doi.org/10.1061/ajrua6.0001167openalex-snapshot
Response Determination of Nonlinear Systems with Singular Matrices Subject to Combined Stochastic and Deterministic Excitations
inferred← citeshttps://doi.org/10.1080/16583655.2018.1498290openalex-snapshot
An accurate relationship between frequency and amplitude to nonlinear oscillations
inferred← citeshttps://doi.org/10.1080/17797179.2012.719317openalex-snapshot
Numerical comparison of reduced order models for non-linear vibrations of damped plates
inferred← citeshttps://doi.org/10.1088/1402-4896/ad1868openalex-snapshot
Generic numerical and analytical methods for solving nonlinear oscillators
inferred← citeshttps://doi.org/10.1088/1742-6596/811/1/012003openalex-snapshot
Weak periodic solutions of xẍ + 1 = 0 and the Harmonic Balance Method
inferred← citeshttps://doi.org/10.1088/1742-6596/949/1/012006openalex-snapshot
Analytical approximations for the oscillators with anti-symmetric quadratic nonlinearity
inferred← citeshttps://doi.org/10.1090/conm/618/12347openalex-snapshot
I Wish I Knew How to ...
inferred← citeshttps://doi.org/10.1103/physreva.89.023847openalex-snapshot
Self-sustained oscillation and harmonic generation in optomechanical systems with quadratic couplings
inferred← citeshttps://doi.org/10.1103/physreve.95.022212openalex-snapshot
Large-amplitude nonlinear normal modes of the discrete sine lattices
inferred← citeshttps://doi.org/10.1109/cce67728.2025.11272010openalex-snapshot
Nonlinear Oscillators with Linear Solutions
inferred← citeshttps://doi.org/10.1109/tmech.2020.3044492openalex-snapshot
Identification of a Nonlinear Dielectric Elastomer Actuator Based on the Harmonic Balance Method
inferred← citeshttps://doi.org/10.1134/s1028335813070070openalex-snapshot
Flow nonlinearity in the flutter of turbocompressor rotor blades
inferred← citeshttps://doi.org/10.1142/s0218348x2550077xopenalex-snapshot
NUMERICAL INVESTIGATION OF FRACTAL OSCILLATOR FOR A PENDULUM WITH A ROLLING WHEEL
inferred← citeshttps://doi.org/10.1142/s1758825118501090openalex-snapshot
Primary and Secondary Resonance Analyses of Viscoelastic Nanoplates Based on Strain Gradient Theory
inferred← citeshttps://doi.org/10.1155/2012/958121openalex-snapshot
An Analytical Approximation Method for Strongly Nonlinear Oscillators
inferred← citeshttps://doi.org/10.1155/2021/6690686openalex-snapshot
The Elliptic Harmonic Balance Method for the Performance Analysis of a Two‐Stage Vibration Isolation System with Geometric Nonlinearity
inferred← citeshttps://doi.org/10.1155/2021/7819209openalex-snapshot
An Effective Solution of the Cube-Root Truly Nonlinear Oscillator: Extended Iteration Procedure
inferred← citeshttps://doi.org/10.1177/1045389x251406675openalex-snapshot
A nonlinear galloping energy harvester with quasi-zero stiffness
inferred← citeshttps://doi.org/10.1177/1077546315614125openalex-snapshot
Responses and energy transmissibility of a viscoelastic isolation system with a power-form restoring force under delayed feedback control
inferred← citeshttps://doi.org/10.1177/1350650112465516openalex-snapshot
A new theory on pure pre-rolling resistance through pendulum oscillations
inferred← citeshttps://doi.org/10.1177/1461348418813612openalex-snapshot
The VIM-Padé technique for strongly nonlinear oscillators with cubic and harmonic restoring force
inferred← citeshttps://doi.org/10.1177/1461348419854625openalex-snapshot
Accurate approximations of the nonlinear vibration of couple-mass-spring systems with linear and nonlinear stiffnesses
inferred← citeshttps://doi.org/10.1177/1461348420979758openalex-snapshot
The modified Lindstedt–Poincare method for solving quadratic nonlinear oscillators
inferred← citeshttps://doi.org/10.1177/14613484221097465openalex-snapshot
Global residue harmonic balance method for strongly nonlinear oscillator with cubic and harmonic restoring force
inferred← citeshttps://doi.org/10.1177/14613484231181451openalex-snapshot
Analysis of the fractional oscillator for a mass attached to a stretched elastic wire
inferred← citeshttps://doi.org/10.1177/14613484241278421openalex-snapshot
Analytical solution for strongly nonlinear vibration of a stringer shell
inferred← citeshttps://doi.org/10.1186/s40064-016-2859-0openalex-snapshot
The rapidly convergent solutions of strongly nonlinear oscillators
inferred← citeshttps://doi.org/10.12693/aphyspola.129.819openalex-snapshot
Modeling the Nonlinear Dynamics of Nanotube Cores Driven by Interlayer Dispersion Force Modulation: New Developments and Future Applications
inferred← citeshttps://doi.org/10.15406/ijbsbe.2020.06.00183openalex-snapshot
Singular oscillators’ amplitude-period aproximation
inferred← citeshttps://doi.org/10.15406/ijbsbe.6.2openalex-snapshot
inferred← citeshttps://doi.org/10.1564/tme_v24.2.07openalex-snapshot
Analysis of a Nonlinear Oscillator with CAS through Analytical, Numerical, and Qualitative Approaches: a prototype for teaching
inferred← citeshttps://doi.org/10.17771/pucrio.acad.62926openalex-snapshot
ANÁLISE DO CUSTO COMPUTACIONAL DO MÉTODO DE MONTE CARLO: UMA ABORDAGEM ESTOCÁSTICA APLICADA A UM PROBLEMA DE VIBRAÇÕES COM STICK-SLIP
inferred← citeshttps://doi.org/10.24200/sci.2017.4258openalex-snapshot
Coupling of energy and harmonic balance method for solving a conservative oscillator with strong odd-nonlinearity
inferred← citeshttps://doi.org/10.2514/6.2012-3713openalex-snapshot
Nanopropulsion from High-Energy Particle Beams via Dispersion Forces in Nanotubes
inferred← citeshttps://doi.org/10.26782/jmcms.2022.01.00007openalex-snapshot
FIXATION OF THE RELATION BETWEEN FREQUENCY AND AMPLITUDE FOR NONLINEAR OSCILLATOR HAVING FRACTIONAL TERM APPLYING MODIFIED MICKENS’ EXTENDED ITERATION METHOD
inferred← citeshttps://doi.org/10.26782/jmcms.2023.05.00001openalex-snapshot
ADEQUATE SOLUTIONS OF JERK OSCILLATORS CONTAINING VELOCITY TIMES ACCELERATION-SQUARED: HAQUE’S APPROACH WITH MICKENS’ ITERATION METHOD
inferred← citeshttps://doi.org/10.3103/s1052618814040013openalex-snapshot
Nonlinear acoustic diametral modes of pressure pulsations during flutter of rotor blades of a turbocompressor
inferred← citeshttps://doi.org/10.3390/math11183958openalex-snapshot
Oscillator with Time-Variable Degree of Nonlinearity: Theory and Application in Aging of Polymer Composite Structure
inferred← citeshttps://doi.org/10.3390/math14101687openalex-snapshot
First-Order Approximate Solutions for Nonlinear Smooth-Discontinuous (SD) Oscillator via Spreading Residue Harmonic Balance and Multiple Scales Methods
inferred← citeshttps://doi.org/10.37394/23206.2023.22.34openalex-snapshot
On the Period-Amplitude Relation by Reduction to Liénard Quadratic Equation
inferred← citeshttps://doi.org/10.5772/intechopen.106354openalex-snapshot
Isochronous Oscillations of Nonlinear Systems
inferred← citeshttps://doi.org/10.70675/fa4b49ccz2988z4899zbb8azae626285eb45openalex-snapshot
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