The objective of this study is to investigate the sensitivity Equivalent Dynamic Stiffness Mapping (EDSM) identification method typical types inaccuracy that are often present during process. These sources may include presence noise in simulated/measured data, expansion error estimation unmeasured coordinates, modelling updated underlying linear model, and due neglecting higher harmonics nonlin...

The main purpose of the paper is to reveal mechanism certain special phenomena in bursting oscillations such as sudden increase spiking amplitude. When multiple equilibrium points coexist a dynamical system, several types stable attractors via different bifurcations from these may be observed with variation parameters, which interact each other form bifurcations. Here we take modified van der P...

A method for the development of mathematical models for dynamic systems with arbitrary nonlinearides from measured data is described. The method involves the use of neural networks as embedded processors indynamic system simuation models. The technique is demonstrated through generation of models for anharmonic oscillators described by the Duffing Equation and the Van der Pol Equation from meas...

In this work, we investigate the dynamical behaviors of the modi…ed autonomous Van der Pol-Du¢ ng chaotic circuit (MADVP). Some stability conditions of the equilibrium points are discussed. The existence of pitchfork bifurcation is veri…ed by using the bifurcation theory and the center manifold theorem. The occurrences of Hopf bifurcation about the equilibrium points are proved. Conditions for ...

The bidimensional Duffing oscillator (2DHD) is a parametric Hamiltonian system, integrable by elliptic functions, which includes as particular cases the isotropic oscillator and the classic Hamiltonian Duffing model. The Stark effect, after the KS transformation is used and the parameters are properly chosen, may be studied as a couple of 2DHD. A particular case of 2DHD system has been consider...

Time-delay is ubiquitous in many dynamical systems. The role of single and multiple time-delay on vibrational resonance in a single Duffing oscillator and in a system of n Duffing oscillators coupled unidirectionally and driven by both a lowand a high-frequency periodic force is presented. The investigation is performed through both theoretical approach and numerical simulation. Theoretically d...

This paper investigates the design and analysis of a novel energy harvesting device that uses magnetic levitation to produce an oscillator with a tunable resonance. The governing equations for the mechanical and electrical domains are derived to show the designed system reduces to the form of a Duffing oscillator under both static and dynamic loads. Thus, nonlinear analyses are required to inve...