On the public citation graph
FORCED NONLINEAR OSCILLATOR IN A FRACTAL SPACE
0 signed · 132 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.
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known work and none has been retracted — and get a dated CiteStamped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.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1002/num.22584openalex-snapshot
He's frequency formulation for fractal nonlinear oscillator arising in a microgravity space
inferredcites →https://doi.org/10.1007/bf02438337openalex-snapshot
Principal response of van der pol-duffing oscillator under combined deterministic and random parametric excitation
inferredcites →https://doi.org/10.1007/s10910-021-01212-yopenalex-snapshot
A gecko-like fractal receptor of a three-dimensional printing technology: a fractal oscillator
inferredcites →https://doi.org/10.1007/s11071-020-06048-wopenalex-snapshot
Primary and subharmonic simultaneous resonance of fractional-order Duffing oscillator
inferredcites →https://doi.org/10.1007/s42417-021-00293-yopenalex-snapshot
Analysis of Harmonically Forced Duffing Oscillator with Time Delay State Feedback by Incremental Harmonic Balance Method
inferredcites →https://doi.org/10.1016/j.compeleceng.2014.11.007openalex-snapshot
Application of van der Pol–Duffing oscillator in weak signal detection
inferredcites →https://doi.org/10.1016/j.matcom.2020.08.001openalex-snapshot
Analytic approximate solutions of the cubic–quintic Duffing–van der Pol equation with two-external periodic forcing terms: Stability analysis
inferredcites →https://doi.org/10.1016/j.physleta.2008.08.047openalex-snapshot
Extended SUSY quantum mechanics, intertwining operators and coherent states
inferredcites →https://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
inferredcites →https://doi.org/10.1016/j.rinp.2021.104580openalex-snapshot
Exact steady-state solution of fractals damped, and forced systems
inferredcites →https://doi.org/10.1061/(asce)em.1943-7889.0001764openalex-snapshot
Stability Analysis of a Parametric Duffing Oscillator
inferredcites →https://doi.org/10.1088/0031-8949/91/1/015201openalex-snapshot
Stability analysis for periodic solutions of the Van der Pol–Duffing forced oscillator
inferredcites →https://doi.org/10.1108/hff-02-2021-0136openalex-snapshot
New variational theory for coupled nonlinear fractal Schrödinger system
inferredcites →https://doi.org/10.1142/s0217979222500151openalex-snapshot
Solitary wave solution of nonlinear Bogoyavlenskii system by variational analysis method
inferredcites →https://doi.org/10.1142/s0217984921506028openalex-snapshot
Exact solitary wave solution for fractal shallow water wave model by He’s variational method
inferredcites →https://doi.org/10.1142/s0218348x20500930openalex-snapshot
A FRACTAL TWO-PHASE FLOW MODEL FOR THE FIBER MOTION IN A POLYMER FILLING PROCESS
inferredcites →https://doi.org/10.1142/s0218348x21500304openalex-snapshot
FRACTAL N/MEMS: FROM PULL-IN INSTABILITY TO PULL-IN STABILITY
inferredcites →https://doi.org/10.1142/s0218348x21500341openalex-snapshot
EQUIVALENT POWER-FORM REPRESENTATION OF THE FRACTAL TODA OSCILLATOR
inferredcites →https://doi.org/10.1142/s0218348x21501176openalex-snapshot
LOW FREQUENCY PROPERTY OF A FRACTAL VIBRATION MODEL FOR A CONCRETE BEAM
inferredcites →https://doi.org/10.1142/s0218348x21501449openalex-snapshot
AN EFFICIENT ANCIENT CHINESE ALGORITHM TO INVESTIGATE THE DYNAMICS RESPONSE OF A FRACTAL MICROGRAVITY FORCED OSCILLATOR
inferredcites →https://doi.org/10.1142/s0218348x21502686openalex-snapshot
A TUTORIAL INTRODUCTION TO THE TWO-SCALE FRACTAL CALCULUS AND ITS APPLICATION TO THE FRACTAL ZHIBER–SHABAT OSCILLATOR
inferredcites →https://doi.org/10.1142/s0218348x22500463openalex-snapshot
A MODIFIED FREQUENCY–AMPLITUDE FORMULATION FOR FRACTAL VIBRATION SYSTEMS
inferredcites →https://doi.org/10.1177/1461348420947832openalex-snapshot
A powerful and simple frequency formula to nonlinear fractal oscillators
inferredcites →https://doi.org/10.1177/1461348420984041openalex-snapshot
A fractal micro-electromechanical system and its pull-in stability
inferredcites →https://doi.org/10.1177/14613484211068252openalex-snapshot
Fast identification of the pull-in voltage of a nano/micro-electromechanical system
inferredcites →https://doi.org/10.1177/1461348421992608openalex-snapshot
He’s frequency formula to fractal undamped Duffing equation
inferredcites →https://doi.org/10.22055/jacm.2020.34859.2487openalex-snapshot
A Fractal Rheological Model for SiC Paste using a Fractal Derivative
inferredcites →https://doi.org/10.22190/fume201212003zopenalex-snapshot
FRACTAL APPROACH TO MECHANICAL AND ELECTRICAL PROPERTIES OF GRAPHENE/SIC COMPOSITES
inferredcites →https://doi.org/10.2298/tsci16s3747yopenalex-snapshot
Exact solutions for the differential equations in fractal heat transfer
inferredcites →https://doi.org/10.2298/tsci200301108lopenalex-snapshot
Optimization of a fractal electrode-level charge transport model
inferredcites →https://doi.org/10.2298/tsci200308028lopenalex-snapshot
Fractal calculus for modeling electrochemical capacitors under dynamical cycling
inferredcites →https://doi.org/10.2298/tsci200320033lopenalex-snapshot
A fractal Langmuir kinetic equation and its solution structure
inferredcites →https://doi.org/10.2298/tsci200502032lopenalex-snapshot
Periodic solution of fractal Phi-4 equation
inferredcites →https://doi.org/10.2298/tsci200710131zopenalex-snapshot
Effect of SiC particles on viscosity of 3-D print paste: A fractal rheological model and experimental verification
inferredcites →https://doi.org/10.30546/1683-6154.21.1.2022.71openalex-snapshot
A Fractal Model for the Internal Temperature Response of a Porous Concrete
inferredcites →https://doi.org/10.3390/e17096289openalex-snapshot
Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel
inferredcites →https://doi.org/10.3390/fractalfract5030093openalex-snapshot
Homotopy Perturbation Method for the Fractal Toda Oscillator
inferredcites →https://doi.org/10.3934/dcdss.2021161openalex-snapshot
A novel bond stress-slip model for 3-D printed concretes
inferredcites →https://doi.org/10.4236/ijmnta.2017.61003openalex-snapshot
Nonlinear Control of Chaotic Forced Duffing and Van der Pol Oscillators
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-981-96-3094-3_11openalex-snapshot
On Hybrid Parallel Scheme for Biomedical Engineering Problems
inferred← citeshttps://doi.org/10.1007/s00707-023-03600-8openalex-snapshot
Forced vibration analysis of a sandwich beam with functionally porous faces and viscoelastic core using Golla–Hughes–McTavish model
inferred← citeshttps://doi.org/10.1016/j.ces.2025.122431openalex-snapshot
Unraveling nonlinear, transient nth-order reaction–diffusion processes within porous catalysts of arbitrary shapes: Analytical and numerical perspective
inferred← citeshttps://doi.org/10.1016/j.chaos.2023.113520openalex-snapshot
Construction of fractional granular model and bright, dark, lump, breather types soliton solutions using Hirota bilinear method
inferred← citeshttps://doi.org/10.1016/j.chaos.2023.113566openalex-snapshot
Variational principle for singular waves
inferred← citeshttps://doi.org/10.1016/j.heliyon.2024.e24261openalex-snapshot
Analyzing nonlinear oscillations with He's frequency-amplitude method and numerical comparison in jet engine vibration system
inferred← citeshttps://doi.org/10.1016/j.joes.2022.03.005openalex-snapshot
Manakov model of coupled NLS equation and its optical soliton solutions
inferred← citeshttps://doi.org/10.1016/j.matcom.2022.08.005openalex-snapshot
Homotopy perturbation method for strongly nonlinear oscillators
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/10.1016/j.rinp.2023.106623openalex-snapshot
Comparative analysis of new approximate analytical method and Mohand variational transform method for the solution of wave-like equations with variable coefficients
inferred← citeshttps://doi.org/10.1063/5.0199075openalex-snapshot
Motion analysis of a spherical pendulum with a movable pivot
inferred← citeshttps://doi.org/10.1088/1402-4896/ac7d7bopenalex-snapshot
Theory and applications of integral transform: analytical and numerical study of nonlinear partial differential equations
inferred← citeshttps://doi.org/10.1088/1572-9494/ac7bdcopenalex-snapshot
Optimal analytical and numerical approximations to the (un)forced (un)damped parametric pendulum oscillator
inferred← citeshttps://doi.org/10.1108/hff-03-2022-0191openalex-snapshot
A variational principle for a fractal nano/microelectromechanical (N/MEMS) system
inferred← citeshttps://doi.org/10.1109/cac67268.2025.11487648openalex-snapshot
Global Stabilization via Nested Saturated Control Scheme for Uncertain Cascade Systems with Oscillator and Linear Perturbations
inferred← citeshttps://doi.org/10.1142/s0217979224501698openalex-snapshot
Unsteady MHD flow in a rotating annular region with Homogeneous–Heterogeneous chemical reactions of Walters’ B fluids: Time-periodic boundary criteria
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/s0218348x23501141openalex-snapshot
A FRACTAL MODEL FOR THE TUNNELING-INDUCED GROUND SURFACE SETTLEMENT
inferred← citeshttps://doi.org/10.1142/s0218348x24500403openalex-snapshot
A FRACTAL-FRACTIONAL TSUNAMI MODEL CONSIDERING NEAR-SHORE FRACTAL BOUNDARY
inferred← citeshttps://doi.org/10.1142/s0218348x24500828openalex-snapshot
FAST AND ACCURATE POPULATION FORECASTING WITH TWO-SCALE FRACTAL POPULATION DYNAMICS AND ITS APPLICATION TO POPULATION ECONOMICS
inferred← citeshttps://doi.org/10.1155/2022/1725110openalex-snapshot
A B C Fractional Derivative for Varicella-Zoster Virus Using Two-Scale Fractal Dimension Approach with Vaccination
inferred← citeshttps://doi.org/10.1155/2022/7087481openalex-snapshot
Modified Homotopy Perturbation Method and Approximate Solutions to a Class of Local Fractional Integrodifferential Equations
inferred← citeshttps://doi.org/10.1155/2022/8531858openalex-snapshot
ABC Fractional Derivative for the Alcohol Drinking Model using Two‐Scale Fractal Dimension
inferred← citeshttps://doi.org/10.1155/2023/4144552openalex-snapshot
Numerical Solutions of Duffing Van der Pol Equations on the Basis of Hybrid Functions
inferred← citeshttps://doi.org/10.1177/14613484221104646openalex-snapshot
Accurate analytical solution of the circular sector oscillation by the modified harmonic balance method
inferred← citeshttps://doi.org/10.1177/14613484221104647openalex-snapshot
Fractal variational principle for an optimal control problem
inferred← citeshttps://doi.org/10.1177/14613484221107291openalex-snapshot
A short remark on He’s frequency formulation
inferred← citeshttps://doi.org/10.1177/14613484221107355openalex-snapshot
Semi-analytical solution of non-homogeneous Duffing oscillator equation by the Padé differential transformation algorithm
inferred← citeshttps://doi.org/10.1177/14613484221119275openalex-snapshot
A high-precision numerical method to simulating the fractional-order EI Ni ñ o chaotic systems with Riemann–Liouville fractional derivative
inferred← citeshttps://doi.org/10.1177/14613484221131245openalex-snapshot
Numerical investigation of the fractal capillary oscillator
inferred← citeshttps://doi.org/10.1177/14613484221133603openalex-snapshot
A mathematical control for the pseudo-pull-in stability arising in a micro-electromechanical system
inferred← citeshttps://doi.org/10.1177/14613484231160911openalex-snapshot
Low-frequency sound radiation characteristics of imperfect acoustic black hole in thin plate
inferred← citeshttps://doi.org/10.1177/14613484231162657openalex-snapshot
Dynamic behaviors for the graphene nano/microelectromechanical system in a fractal space
inferred← citeshttps://doi.org/10.1177/14613484231163947openalex-snapshot
On the oscillations in a nonextensive complex plasma by improved differential transformation method: An application to a damped Duffing equation
inferred← citeshttps://doi.org/10.1177/14613484231176247openalex-snapshot
Dynamical analysis of a vertical excited pendulum using He’s perturbation method
inferred← citeshttps://doi.org/10.1177/14613484231177654openalex-snapshot
Evaluation of the stability of a two degrees-of-freedom dynamical system
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/10.1177/14613484231185490openalex-snapshot
Pull-down plateau of a Toda-like fractal-fractional oscillator and its application in grass carp’s roes’ agglomeration
inferred← citeshttps://doi.org/10.1177/14613484231193261openalex-snapshot
Symmetry-breaking and pull-down motion for the Helmholtz–Duffing oscillator
inferred← citeshttps://doi.org/10.1177/14613484231210484openalex-snapshot
Dynamical analysis of a fractional-order nonlinear two-degree-of-freedom vehicle system by incremental harmonic balance method
inferred← citeshttps://doi.org/10.1177/14613484231216198openalex-snapshot
An application to formable transform: Novel numerical approach to study the nonlinear oscillator
inferred← citeshttps://doi.org/10.1177/14613484231221483openalex-snapshot
Stability and analysis of the vibrating motion of a four degrees-of-freedom dynamical system near resonance
inferred← citeshttps://doi.org/10.1177/14613484241247450openalex-snapshot
A fractal modification of the tropical algebra for noise removal and optimal control
inferred← citeshttps://doi.org/10.1177/14613484241260198openalex-snapshot
A universal application of the general integral transform: New technique for the analysis of nonlinear oscillator systems
inferred← citeshttps://doi.org/10.1177/14613484241272238openalex-snapshot
A new numerical technique to seek properties of the nonlinear oscillators
inferred← citeshttps://doi.org/10.1177/14613484241278421openalex-snapshot
Analytical solution for strongly nonlinear vibration of a stringer shell
inferred← citeshttps://doi.org/10.1177/14613484241279972openalex-snapshot
Fractal-fractional model for the receptor in a 3D printing system
inferred← citeshttps://doi.org/10.1177/14613484241302267openalex-snapshot
Examining the behavior of a two-connected-spring pendulum according to non-resonance and resonance conditions
inferred← citeshttps://doi.org/10.1177/14613484251401351openalex-snapshot
An analytical technique for nonlinear oscillators based on the higher order odd polynomial functions
inferred← citeshttps://doi.org/10.1177/14613484251413080openalex-snapshot
Analytical approaches to fractal oscillator for a pendulum with a rolling wheel
inferred← citeshttps://doi.org/10.2298/tsci211201071mopenalex-snapshot
Variational principle for a generalized Rabinowitsch lubrication
inferred← citeshttps://doi.org/10.2298/tsci2303039wopenalex-snapshot
Variational principle for an incompressible flow
inferred← citeshttps://doi.org/10.2298/tsci2303755lopenalex-snapshot
Numerical analysis of space-time fractional Benjamin-Bona-Mahony equation
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/tsci2303827dopenalex-snapshot
Research on the mechanism and practice of fracture initiation during hydraulic fracturing in hard roofs of coal mine
inferred← citeshttps://doi.org/10.2298/tsci2303873dopenalex-snapshot
Approximate analytical solutions of generalized fractional Korteweg-de Vries equation
inferred← citeshttps://doi.org/10.2298/tsci2303899sopenalex-snapshot
Variational principle for fractal high-order long water-wave equation
inferred← citeshttps://doi.org/10.2298/tsci2403051bopenalex-snapshot
Study on an energy-saving thermal management system in outdoor base stations
inferred← citeshttps://doi.org/10.2298/tsci2403125sopenalex-snapshot
Solutions of the KdV-MKdV equations arising in non-linear elastic rods under fractal dimension
inferred← citeshttps://doi.org/10.2298/tsci2403135yopenalex-snapshot
Local fractional Duffing equation: Its periodic property and its application to energy harvesting
inferred← citeshttps://doi.org/10.2298/tsci2403143yopenalex-snapshot
Local fractional damped non-linear oscillation: Frequency estimation and energy consumption
inferred← citeshttps://doi.org/10.2298/tsci2403153lopenalex-snapshot
Analysis of a fractal modification of attachment oscillator
inferred← citeshttps://doi.org/10.2298/tsci2403165ropenalex-snapshot
Non-linear oscillation of a mass attached to a stretched elastic wire in a fractal space
inferred← citeshttps://doi.org/10.2298/tsci2403171zopenalex-snapshot
Applying numerical control to analyze the pull-in stability of MEMS systems
inferred← citeshttps://doi.org/10.2298/tsci2403179xopenalex-snapshot
Stability of initial response of exponentially damped oscillators
inferred← citeshttps://doi.org/10.2298/tsci2403371nopenalex-snapshot
A remark on a strong minimum condition of a fractal variational principle
inferred← citeshttps://doi.org/10.2298/tsci2403959wopenalex-snapshot
Solitary wave solutions of the Navier-Stokes equations by He's variational method
inferred← citeshttps://doi.org/10.2298/tsci2403967sopenalex-snapshot
Fractal solitary waves of the (3+1)-dimensional fractal modified KdV-Zakharov-Kuznetsov
inferred← citeshttps://doi.org/10.2298/tsci2403975qopenalex-snapshot
Approximate analytical solution of generalized fractal equal-width wave equation
inferred← citeshttps://doi.org/10.2298/tsci2403983sopenalex-snapshot
Solitary wave solution for the non-linear bending wave equation based on He’s variational method
inferred← citeshttps://doi.org/10.2298/tsci2503077nopenalex-snapshot
A novel methodology for establishing a fractal-fractional oscillator and its application to the aggregation of grass carp's roes
inferred← citeshttps://doi.org/10.2298/tsci2503739wopenalex-snapshot
Analytical study of fractal modified Degasperis-Procesi equation involving beta-derivative
inferred← citeshttps://doi.org/10.2298/tsci2503749xopenalex-snapshot
Exact solutions and non-linear adaptive boundary control problem of the fractional modified generalized KdV-burgers equation
inferred← citeshttps://doi.org/10.2298/tsci2503757lopenalex-snapshot
Variational approach to time-space fractional coupled Boiti-Leon-Pempinelli equation
inferred← citeshttps://doi.org/10.2298/tsci2503775sopenalex-snapshot
Fractal solitary wave solutions and variational principle of the fractal general Kadomtsev-Petviashvili equation
inferred← citeshttps://doi.org/10.2298/tsci2503861lopenalex-snapshot
Non-linear stochastic response and bifurcation analysis of a multistable Rayleigh system with a fractional element subjected to noise excitation
inferred← citeshttps://doi.org/10.32604/cmes.2022.022323openalex-snapshot
Numerical Simulation of the Fractional-Order Lorenz Chaotic Systems with燙aputo Fractional Derivative
inferred← citeshttps://doi.org/10.32604/cmes.2022.022637openalex-snapshot
Cushioning Performance of Hilbert Fractal Sandwich Packaging Structures under Quasi-Static Compressions
inferred← citeshttps://doi.org/10.3389/fbioe.2022.926253openalex-snapshot
Intelligent Nanomaterials for Solar Energy Harvesting: From Polar Bear Hairs to Unsmooth Nanofiber Fabrication
inferred← citeshttps://doi.org/10.3389/fphy.2022.1118898openalex-snapshot
Approximate solutions to shallow water wave equations by the homotopy perturbation method coupled with Mohand transform
inferred← citeshttps://doi.org/10.3389/fphy.2023.1158121openalex-snapshot
A simple frequency formulation for fractal–fractional non-linear oscillators: A promising tool and its future challenge
inferred← citeshttps://doi.org/10.3389/fphy.2023.1168795openalex-snapshot
The Aboodh transformation-based homotopy perturbation method: new hope for fractional calculus
inferred← citeshttps://doi.org/10.3389/fphy.2023.1238901openalex-snapshot
Fractional stochastic vibration system under recycling noise
inferred← citeshttps://doi.org/10.3389/fphy.2023.1246884openalex-snapshot
Application of homotopy perturbation method to solve a nonlinear mathematical model of depletion of forest resources
inferred← citeshttps://doi.org/10.3389/fphy.2024.1444266openalex-snapshot
Surface roughness measurement using microscopic vision and deep learning
inferred← citeshttps://doi.org/10.3389/fphy.2025.1521849openalex-snapshot
Mathematical approach for rapid determination of pull-in displacement in MEMS devices
inferred← citeshttps://doi.org/10.3389/fphy.2025.1542758openalex-snapshot
He’s frequency formulation for fractal-fractional nonlinear oscillators: a comprehensive analysis
inferred← citeshttps://doi.org/10.3389/fphy.2025.1567842openalex-snapshot
Stochastic bifurcation phenomenon and multistable behaviors in a fractional Rayleigh–Duffing oscillator under recycling noise
inferred← citeshttps://doi.org/10.3390/math12223517openalex-snapshot
Efficient Multiplicative Calculus-Based Iterative Scheme for Nonlinear Engineering Applications
inferred← citeshttps://doi.org/10.3934/math.2022706openalex-snapshot
Existence and controllability of Hilfer fractional neutral differential equations with time delay via sequence method
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.