Recently, coded permutation entropy has been proposed, which enhances the noise
immunity by quadratic partitioning on the basis of permutation entropy. However, coded …

Dynamical systems may experience undesirable behavior or instability, which can be
eliminated using feedback control means. However, in the absence of feedback control, the …

Measurable dynamics has traditionally referred to ergodic theory, which is in some sense a
sister topic to dynamical systems and chaos theory. However, the topic has until recently …

Abstract The perturbed Chen-Lee-Liu equation with arbitrary refractive index is studied. The
traveling wave reduction is used to look for the solution of this partial differential equation …

Background Stochastic resonance is a nonlinear phenomenon whereby the addition of
noise can improve the detection of weak stimuli. An optimal amount of added noise results in …

Stochastic simulations enable researchers to incorporate uncertainties beyond numerical
discretization errors in computational fluid dynamics (CFD). Here, the authors provide …

Piezoelectric energy harvesters exploiting strong mechanical nonlinearities exhibit intrinsic
suitability for one of several modern challenges in vibratory energy harvesting: consistent …

Successful prediction of future global climate is critically dependent on understanding its
complex history, some of which is displayed in paleoclimate time series extracted from deep …

Melnikov's method is presented for a general nonlinear vibro-impact oscillator, and Melnikov
function for homoclinic orbits is obtained analytically. A Duffing vibro-impact oscillator is …

Researchers can incorporate uncertainties in computational fluid dynamics (CFD) that go
beyond the inaccuracies caused by numerical discretization thanks to stochastic …