This paper gives a numerical analysis of nonlinearities due to rigid, elastic mechanical end-stops in a vibrating energy harvester. Both an eigenvalue problem approach and time domain simulations are used. We consider two rigid end-stops limiting the motion of a proof mass. The dynamics are linear between the impacts which cause strong nonlinear behavior. Even though the output power varies lit...

Stable normal mode vibrations in engineering can be undesirable and one of the possibilities for quenching these vibrations is by embedding the oscillator in an autoparametric system by coupling to a damped oscillator. We have the possibility of destabilising the undesirable vibrations by a suitable tuning and choice of coupling parameters. In the case of normal mode vibration derived from a re...

study of the changes in the stock price in tehran stock exchange is of great importance. this is because of its application in forecasting the stock price in the stock exchange. the aim of this article is to investigate the forces and mechanisms that cause the dramatic changes in stock price and the formation of chaotic trend. to test whether the chaotic trend in the tehran stock exchange exist...

The Kaplan-Yorke conjecture suggests a simple relationship between the fractal dimension of a system and its Lyapunov spectrum. This relationship has important consequences in the broad field of nonlinear dynamics where dimension and Lyapunov exponents are frequently used descriptors of system dynamics. We develop an experimental system with controllable dimension by making use of the Kaplan-Yo...

The special issue entitled “Mathematical modelling, nonlinear dynamics, bifurcation, synchronization and control of mechanisms driven by power supply,” published European Physical Journal: Special Topics (EPJST), aims to bring into discussion works involving dynamic chaotic behaviors, which are frequently found in mechanical electromechanical systems, circuits, biologically inspired stimulating...

We analyze 2-dimensional chaotic forms resulting from very simple systems based on two chaotic characteristics that is rotation and parallel movement or translation in geometric terms. Re ection is another alternative, along with rotation, for several interesting chaotic formations. Rotation and translation are very common types of movements in the world around us. Chaotic or non-chaotic forms ...

Chaotic scattering in open Hamiltonian systems is relevant for different problems in physics. Particles in such kind of systems can exhibit both bounded or unbounded motions for which escapes from the scattering region can take place. This paper analyzes how to control the escape of the particles from the scattering region in the presence of noise. For that purpose, we apply the partial control...

In this paper we investigate mixing and transport in correspondence of a meandering jet. The large-scale flow field is a kinematically assigned streamfunction. Two basic mixing mechanisms are considered, first separately and then combined together: deterministic chaotic advection, induced by a time dependence of the flow, and turbulent diffusion, described by means of a stochastic model for par...

Both the chaotic mixers (Fig.1) adopt a two-layer overlapping channels structure, which is very efficient for fluid manipulations such as stretching and folding, splitting and recombination. Even at extremely low Re (~10), chaotic advection can be generated. Both particle tracing simulation (Fig. 2) and experimental results (Fig.3) show that as the fluids are driven through the mixer, striation...