The introduction of mistuning in jet-engine bladed disks can lead to large changes in stability and forced response. Even small random mistuning (within the bounds of manufacturing tolerance) can lead to unacceptable response and high-cycle fatigue. Meanwhile, intentional mistuning may improve stability and forced response under manufacturing uncertainty. This paper presents a general framework...

A liquid metal filament supported on a dielectric substrate was directed to fragment into an ordered, mesoscale particle ensemble. Imposing an undulated surface perturbation on the filament forced the development of a single unstable mode from the otherwise disperse, multimodal Rayleigh-Plateau instability. The imposed mode paved the way for a hierarchical spatial fragmentation of the filament ...

We are concerned with a viscous Burgers equation forced by a perturbation of white noise type. We study the corresponding transition semigroup in a space of continuous functions weighted by a proper potential, and we show that the infinitesimal generator is the closure (with respect to a suitable topology) of the Kolmogorov operator associated to the stochastic equation. In the last part of the...

A method to reduce or enhance chaos in Hamiltonian flows with two degrees of freedom is discussed. This method is based on finding a suitable perturbation of the system such that the stability of a set of periodic orbits changes (local bifurcations). Depending on the values of the residues, reflecting their linear stability properties, a set of invariant tori is destroyed or created in the neig...

Swirling turbulent plumes are investigated with the Morton, Taylor, and Turner model (MTT) $\mathrm{\ensuremath{\Gamma}}$-approach. We derive asymptotic solutions using regular perturbation methods, discuss influence of swirling motions on plume properties for lazy forced plumes, respectively. Specially intriguingly, by introducing a swirl, can even be turned into one in near field during verti...

We show the emergence of Berry phase in a forced harmonic oscillator system placed quantum space-time Moyal type, where time ‘t’ is also an operator. An effective commutative description gives dependent generalised with perturbation linear position and momentum. The then diagonalised to get its adiabatic evolution over time-period T studied Heisenberg picture compute expression geometric phase-...

We study a periodically forced system of ODEs near a point of Hopf bifurcation, where the forcing frequency ωF is near the Hopf frequency ωH and the forcing amplitude ε is small. We assume that in this system only the forcing frequency is varied and we determine all small amplitude periodic solutions of the forced system that have frequency ωF . In other words, we examine the influence of the f...