ANALYSIS OF A DAMPED FRACTAL SYSTEM USING THE ANCIENT CHINESE ALGORITHM AND THE TWO-SCALE FRACTAL DIMENSION TRANSFORM
DOI10.1142/S0218348X22501730OpenAlexW4293768064MaRDI QIDQ5880686
Alex Elías-Zúñiga, Daniel Olvera Trejo, Oscar Martínez-Romero, Luis Manuel Palacios-Pineda
Publication date: 6 March 2023
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218348x22501730
ancient Chinese algorithmHe's frequency amplitude formulationtwo-scale fractal dimension transformdamped fractal oscillatorsfractal plasma physics equation
Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonautonomous smooth dynamical systems (37C60) Fractional ordinary differential equations (34A08)
Cites Work
- Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel
- A tutorial review on fractal spacetime and fractional calculus
- Ancient Chinese algorithm: The ying buzu shu (method of surplus and deficiency) vs Newton iteration method
- Amplitude-frequency relationship for conservative nonlinear oscillators with odd nonlinearities
- Electromagnetic waves described by a fractional derivative of variable and constant order with non singular kernel
- Fractal equation of motion of a non-Gaussian polymer chain: investigating its dynamic fractal response using an ancient Chinese algorithm.
- On a strong minimum condition of a fractal variational principle
- A novel approach of variable order derivative Theory and Methods
- Analysis of vibrational resonance in bi-harmonically driven plasma
- FRACTAL OSCILLATION AND ITS FREQUENCY-AMPLITUDE PROPERTY
- LOW FREQUENCY PROPERTY OF A FRACTAL VIBRATION MODEL FOR A CONCRETE BEAM
- EQUIVALENT POWER-FORM TRANSFORMATION FOR FRACTAL BRATU’S EQUATION
- EQUIVALENT POWER-FORM REPRESENTATION OF THE FRACTAL TODA OSCILLATOR
- INVESTIGATION OF THE STEADY-STATE SOLUTION OF THE FRACTAL FORCED DUFFING’S OSCILLATOR USING AN ANCIENT CHINESE ALGORITHM
- AN EFFICIENT ANCIENT CHINESE ALGORITHM TO INVESTIGATE THE DYNAMICS RESPONSE OF A FRACTAL MICROGRAVITY FORCED OSCILLATOR
- DYNAMICS RESPONSE OF THE FORCED FANGZHU FRACTAL DEVICE FOR WATER COLLECTION FROM AIR
- DYNAMIC RESPONSE OF A FRACTAL CUSHIONING PACKAGING SYSTEM
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- Forced vibrations of a body supported by viscohyperelastic shear mountings.
- A new approach for modelling the damped Helmholtz oscillator: applications to plasma physics and electronic circuits
This page was built for publication: ANALYSIS OF A DAMPED FRACTAL SYSTEM USING THE ANCIENT CHINESE ALGORITHM AND THE TWO-SCALE FRACTAL DIMENSION TRANSFORM
