Praised for its revolutionary technique and studied for its perplexing imagery, Jan van Eyck’s Arnolfini Portrait has remained a riddle since the 19th century. Completed in 1434 in Bruges, the work showcases a skilled use of oil paints and impressively realistic details. More famous and perhaps more important, however, than van Eyck’s technique are the two figures and the objects which decorate...

In this paper, we characterize the global phase portrait of Riccati quadratic polynomial differential system [Formula: see text] with text], nonzero (otherwise is a Bernoulli system), Liénard degree at most and polynomials 2, maximum degrees 2. We give complete description portraits in Poincaré disk (i.e. compactification adding circle infinity) modulo topological equivalence.

Open flows over a cavity present, even at medium Reynolds number, sustained oscillations resulting from a complex feedback process [1]. Previous works have reveals a mode-switching phenomenon which remains to characterize from a dynamical point of view. In the configuration here investigated, the intermittency between the two dominant modes is characterized using a symbolic dynamics based appro...

The impetus of this study is to investigate the chaotic behavior of a size-dependent nano-beam with double-sided electrostatic actuation, incorporating surface energy effect and intermolecular interactions. The geometrically nonlinear beam model is based on Euler-Bernoulli beam assumption. The influence of the small-scale and the surface energy effect are modeled by implementing the consistent ...

In this paper, the frequency broadband effect in vibration energy harvesting was studied numerically using a quasi-zero stiffness resonator with two potential wells and piezoelectric transducers. Corresponding solutions were investigated for system excitation harmonics at various frequencies. Solutions higher voltage output collected specific branches of power diagram. Both resonant solution sy...

In general, joints are assumed without clearance in the dynamic analysis of multi-body echanical systems. When joint clearance is considered, the mechanism obtains two uncontrollable degrees of freedom and hence the dynamic response considerably changes. The joints’ clearances are the main sources of vibrations and noise due to the impact of the coupling parts in the joints. Therefore, the syst...

This work aims at a better comprehension of the features of the solution surface of a dynamical system presenting a numerical procedure based on transient trajectories. For a given set of initial conditions an analysis is made, similar to that of a return map, looking for the new configuration of this set in the first Poincaré sections. The mentioned set of I.C. will result in a curve that can ...

It is very important to generate hyperchaotic attractor with more complicated dynamics for theoretical research and practical application. The paper proposes a novel method to generate hyperchaotic multi-wing attractor. By replacing the resistor in the circuit of modified Lü system with fluxcontrolled memristor respectively, this newmemristive system can exhibit a hyperchaotic multi-wing attrac...

Considering the effect of geometric nonlinearity and uniformly distributed time-varying temperature, the bifurcation behaviors and chaotic phenomena of a bimetallic thin circular plate are investigated. First of all, the nonlinear dynamic equation for bimetallic plate is established and further reduced to Duffing equation of harmonic parametric excitation, from which the pitchfork bifurcation p...