On the public citation graph

A powerful and simple frequency formula to nonlinear fractal oscillators

https://doi.org/10.1177/1461348420947832
0 signed · 61 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/s00707-019-02569-7openalex-snapshot
Generalized variational principles for buckling analysis of circular cylinders
inferredcites →https://doi.org/10.1007/s10773-014-2123-8openalex-snapshot
A Tutorial Review on Fractal Spacetime and Fractional Calculus
inferredcites →https://doi.org/10.1007/s10910-019-01048-7openalex-snapshot
Taylor series solution for Lane–Emden equation
inferredcites →https://doi.org/10.1016/j.aml.2019.01.016openalex-snapshot
Laplace transform: Making the variational iteration method easier
inferredcites →https://doi.org/10.1016/j.asej.2020.01.016openalex-snapshot
Taylor series solution for a third order boundary value problem arising in Architectural Engineering
inferredcites →https://doi.org/10.1016/j.rinp.2017.10.008openalex-snapshot
High-order approximate solutions of strongly nonlinear cubic-quintic Duffing oscillator based on the harmonic balance method
inferredcites →https://doi.org/10.1016/j.rinp.2018.06.011openalex-snapshot
Fractal calculus and its geometrical explanation
inferredcites →https://doi.org/10.1016/j.rinp.2018.06.015openalex-snapshot
Homotopy perturbation method for nonlinear oscillators with coordinate-dependent mass
inferredcites →https://doi.org/10.1016/j.rinp.2019.102546openalex-snapshot
The simplest approach to nonlinear oscillators
inferredcites →https://doi.org/10.1016/s0020-7462(98)00048-1openalex-snapshot
Variational iteration method – a kind of non-linear analytical technique: some examples
inferredcites →https://doi.org/10.1142/s0217979206033796openalex-snapshot
SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
inferredcites →https://doi.org/10.1142/s0218348x19500178openalex-snapshot
FRACTAL DERIVATIVE MODEL FOR TSUNAMI TRAVELING
inferredcites →https://doi.org/10.1142/s0218348x19501226openalex-snapshot
PHYSICAL INSIGHT OF LOCAL FRACTIONAL CALCULUS AND ITS APPLICATION TO FRACTIONAL KDV–BURGERS–KURAMOTO EQUATION
inferredcites →https://doi.org/10.1142/s0218348x19501342openalex-snapshot
A REMARK ON WANG’S FRACTAL VARIATIONAL PRINCIPLE
inferredcites →https://doi.org/10.1142/s0218348x20500115openalex-snapshot
TAYLOR SERIES SOLUTION FOR FRACTAL BRATU-TYPE EQUATION ARISING IN ELECTROSPINNING PROCESS
inferredcites →https://doi.org/10.1142/s0218348x20500243openalex-snapshot
A FRACTAL VARIATIONAL THEORY FOR ONE-DIMENSIONAL COMPRESSIBLE FLOW IN A MICROGRAVITY SPACE
inferredcites →https://doi.org/10.1142/s0218348x20500589openalex-snapshot
A FRACTAL VARIATIONAL PRINCIPLE FOR THE TELEGRAPH EQUATION WITH FRACTAL DERIVATIVES
inferredcites →https://doi.org/10.1155/2012/916793openalex-snapshot
Asymptotic Methods for Solitary Solutions and Compactons
inferredcites →https://doi.org/10.2298/tsci170804283bopenalex-snapshot
A modification fractional variational iteration method for solving nonlinear gas dynamic and coupled KdV equations involving local fractional operators
inferredcites →https://doi.org/10.2298/tsci1804871wopenalex-snapshot
A modification of the reduced differential transform method for fractional calculus
inferredcites →https://doi.org/10.2298/tsci190408138aopenalex-snapshot
On two-scale dimension and its applications
inferredcites →https://doi.org/10.2298/tsci1904131hopenalex-snapshot
Two-scale mathematics and fractional calculus for thermodynamics
inferredcites →https://doi.org/10.2298/tsci1904163wopenalex-snapshot
Numerical method for fractional Zakharov-Kuznetsov equations with He’s fractional derivative
inferredcites →https://doi.org/10.2298/tsci200127065hopenalex-snapshot
New promises and future challenges of fractal calculus: From two-scale thermodynamics to fractal variational principle

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4073572openalex-extracted
inferred← citeshttps://doi.org/10.1007/s10910-021-01212-yopenalex-snapshot
A gecko-like fractal receptor of a three-dimensional printing technology: a fractal oscillator
inferred← citeshttps://doi.org/10.1007/s13137-022-00194-6openalex-snapshot
Variational principle for some nonlinear problems
inferred← citeshttps://doi.org/10.1016/j.aml.2021.107199openalex-snapshot
On a strong minimum condition of a fractal variational principle
inferred← citeshttps://doi.org/10.1016/j.chaos.2022.112694openalex-snapshot
A novel pattern in a class of fractal models with the non-perturbative approach
inferred← citeshttps://doi.org/10.1016/j.cnsns.2022.107036openalex-snapshot
An efficient approach to converting the damping fractal models to the traditional system
inferred← citeshttps://doi.org/10.1016/j.physleta.2021.127723openalex-snapshot
Generalized variational principle and periodic wave solution to the modified equal width-Burgers equation in nonlinear dispersion media
inferred← citeshttps://doi.org/10.1016/j.rinp.2021.104085openalex-snapshot
Determination of the frequency-amplitude response curves of undamped forced Duffing’s oscillators using an ancient Chinese algorithm
inferred← citeshttps://doi.org/10.1016/j.rinp.2021.104104openalex-snapshot
Solitary waves travelling along an unsmooth boundary
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.2023.106208openalex-snapshot
An analytical solution of the fractal toda oscillator
inferred← citeshttps://doi.org/10.1088/1572-9494/ac80b6openalex-snapshot
An efficient approach to solving fractional Van der Pol–Duffing jerk oscillator
inferred← citeshttps://doi.org/10.1088/1572-9494/acc646openalex-snapshot
An innovative technique to solve a fractal damping Duffing-jerk oscillator
inferred← citeshttps://doi.org/10.1142/s0218348x21500808openalex-snapshot
ANALYTICAL SOLUTION OF THE FRACTAL CUBIC–QUINTIC DUFFING EQUATION
inferred← citeshttps://doi.org/10.1142/s0218348x21501176openalex-snapshot
LOW FREQUENCY PROPERTY OF A FRACTAL VIBRATION MODEL FOR A CONCRETE BEAM
inferred← citeshttps://doi.org/10.1142/s0218348x21501991openalex-snapshot
VARIATIONAL APPROACH TO FRACTAL SOLITARY WAVES
inferred← citeshttps://doi.org/10.1142/s0218348x21502686openalex-snapshot
A TUTORIAL INTRODUCTION TO THE TWO-SCALE FRACTAL CALCULUS AND ITS APPLICATION TO THE FRACTAL ZHIBER–SHABAT OSCILLATOR
inferred← citeshttps://doi.org/10.1142/s0218348x2250061xopenalex-snapshot
ON TWO-SCALE DIMENSION AND ITS APPLICATION FOR DERIVING A NEW ANALYTICAL SOLUTION FOR THE FRACTAL DUFFING’S EQUATION
inferred← citeshttps://doi.org/10.1142/s0218348x2250102xopenalex-snapshot
EXACT TRAVELING WAVE SOLUTIONS TO THE LOCAL FRACTIONAL (3 + 1)-DIMENSIONAL JIMBO–MIWA EQUATION ON CANTOR SETS
inferred← citeshttps://doi.org/10.1142/s0218348x22501481openalex-snapshot
DYNAMIC RESPONSE OF A FRACTAL CUSHIONING PACKAGING SYSTEM
inferred← citeshttps://doi.org/10.1142/s0218348x22501614openalex-snapshot
A NOVEL ANALYTICAL APPROACH TO FRACTAL NONLINEAR DISPERSIVE MODEL WITH VARIABLE COEFFICIENTS
inferred← citeshttps://doi.org/10.1142/s0218348x22501651openalex-snapshot
HOMOTOPY PERTURBATION METHOD FOR FRACTAL DUFFING OSCILLATOR WITH ARBITRARY CONDITIONS
inferred← citeshttps://doi.org/10.1142/s0218348x22501857openalex-snapshot
PULL-IN STABILITY OF A FRACTAL MEMS SYSTEM AND ITS PULL-IN PLATEAU
inferred← citeshttps://doi.org/10.1142/s0218348x23500639openalex-snapshot
VARIATIONAL PRINCIPLES FOR FRACTAL BOUSSINESQ-LIKE B(m,n) EQUATION
inferred← citeshttps://doi.org/10.1142/s0218348x23500706openalex-snapshot
NONLINEAR VIBRATION WITH DISCONTINUITIES IN A FRACTAL SPACE: ITS VARIATIONAL FORMULATION AND PERIODIC PROPERTY
inferred← citeshttps://doi.org/10.1142/s0218348x24400231openalex-snapshot
A NEW FREQUENCY AMPLITUDE FORMULA FOR THE LOCAL FRACTIONAL NONLINEAR OSCILLATION VIA LOCAL FRACTIONAL CALCULUS
inferred← citeshttps://doi.org/10.1371/journal.pone.0268908openalex-snapshot
Photonic passbands induced by optical fractal effect in Cantor dielectric multilayers
inferred← citeshttps://doi.org/10.22190/fume220118004hopenalex-snapshot
FORCED NONLINEAR OSCILLATOR IN A FRACTAL SPACE
inferred← citeshttps://doi.org/10.22190/fume220420023mopenalex-snapshot
SIMPLIFIED HAMILTONIAN-BASED FREQUENCY-AMPLITUDE FORMULATION FOR NONLINEAR VIBRATION SYSTEMS
inferred← citeshttps://doi.org/10.2298/tsci2303029sopenalex-snapshot
Fractal modification of Schrödinger equation and its fractal variational principle
inferred← citeshttps://doi.org/10.2298/tsci2303049lopenalex-snapshot
Variational principle of the 2-D steady-state convection-diffusion equation with fractal derivatives
inferred← citeshttps://doi.org/10.2298/tsci2303779mopenalex-snapshot
Variational method to fractal long-wave model with variable coefficients
inferred← citeshttps://doi.org/10.2298/tsci2303803copenalex-snapshot
A variational principle for fractal Klein-Gordon equation
inferred← citeshttps://doi.org/10.2298/tsci2303899sopenalex-snapshot
Variational principle for fractal high-order long water-wave equation
inferred← citeshttps://doi.org/10.3390/axioms10040320openalex-snapshot
A Simple Frequency Formulation for the Tangent Oscillator
inferred← citeshttps://doi.org/10.3390/fractalfract5030093openalex-snapshot
Homotopy Perturbation Method for the Fractal Toda Oscillator
inferred← citeshttps://doi.org/10.3390/fractalfract9060357openalex-snapshot
Using He’s Two-Scale Fractal Transform to Predict the Dynamic Response of Viscohyperelastic Elastomers with Fractal Damping
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.