Nonlinear resonance - Wikipedia Generically two types of resonances have to be distinguished – linear and nonlinear From the physical point of view, they are defined by whether or not external force coincides with the eigen-frequency of the system (linear and nonlinear resonance correspondingly)
(PDF) Fractal structures in nonlinear dynamics - ResearchGate In addition to the striking beauty inherent in their complex nature, fractals have become a fundamental ingredient of nonlinear dynamics and chaos theory since they were defined in the 1970s
Frontiers | He’s frequency formulation for fractal-fractional nonlinear . . . This mini-review focuses on He’s frequency formulation for fractal-fractional nonlinear oscillators It examines the significance and applications of this formulation in understanding and analyzing the frequency-amplitude relationship within a fractal space
Multi-Frequency Resonance Behaviour of a Si Fractal NEMS Resonator By variation of the AC-voltage, using lock-in amplifier we systematically explore different resonance phenomena We experimentally detected multiple resonance peaks in the range of [2 MHz, 24 MHz] where linear and nonlinear frequency response behaviour was examined
Nonlinear Resonances | Springer Nature Link This introductory text presents the basic aspects and most important features of various types of resonances and anti-resonances in dynamical systems
Dynamic analysis of the fractal nonlinear oscillators with coordinate . . . In this paper, a modified nonlinear oscillator with coordinate-dependent mass by He’s fractal derivative is first given Then, the energy balance method and modified harmonic balance method are utilized to constructed the first-order and second-order approximate solutions of the fractal model
Fractal structures in nonlinear dynamics | Rev. Mod. Phys. In addition to the striking beauty inherent in their complex nature, fractals have become a fundamental ingredient of nonlinear dynamics and chaos theory since they were defined in the 1970s