State models of piecewise-linear (PWL) autonomous dynamical systems used as prototypes in practical realizations of electronic chaotic oscillators are expressed in more generalized form that includes all previous models as special cases with the same optimum eigenvalue sensitivities. Key-Words: Dynamical systems, piecewise-linear, modeling, sensitivity optimization

We investigate heat transport through an assembly consisting of a two-level system coupled between two harmonic oscillators, which is described by the quantum Rabi model, as prototype nanoscale devices using controllable multi-level systems. Using noninteracting-blip approximation (NIBA), we find that linear thermal conductance shows characteristic temperature dependence with two-peak structure...

We have investigated the dynamics of the coupled Lorenz oscillators numerically and theoretically. We find the partial amplitude death when the interaction is strong enough. The linear stability analysis of the partial amplitude death is proposed.

We review some recent results surrounding a general mechanism for producing chaotic behavior in periodically kicked oscillators. The key geometric ideas are illustrated via a simple linear shear model.

Two-step hybrid methods specially adapted to the numerical integration of perturbed oscillators are obtained. The formulation of the methods is based on a refinement of classical Taylor expansions due to Scheifele [Z. Angew. Math. Phys., 22, 186–210 (1971)]. The key property is that those algorithms are able to integrate exactly harmonic oscillators with frequency ω and that, for perturbed osci...

Among control problems for mobile robots, point-to-point stabilization is the most challenging since it does not admit designs with smooth static state feedback laws. Stabilization strategies for mobile robots, and nonholonomic systems generally, are smooth, time-varying or nonsmooth, time-invariant. Time-varying control strategies are designed with umdamped linear oscillators but their fixed s...

This paper presents two architectures allowing to perform beam steering and beam forming by controlling the relative amplitudes and phases of the signals applied on each element of a linear antenna array. The first one is based on the use of an array of coupled oscillators operating at 900 MHz. In this case, a CAD tool, which provides the frequency locking region of the coupled oscillators is p...

Improving the frequency precision by synchronizing a lattice of N oscillators with disparate frequencies is studied in the phase reduction limit. In the general case where the coupling is not purely dissipative the synchronized state consists of targetlike waves radiating from a local source, which is a region of higher-frequency oscillators. In this state the improvement of the frequency preci...

Using only linear interactions and a local parity measurement we show how entanglement can be detected between two harmonic oscillators. The scheme generalizes to measure both linear and nonlinear functionals of an arbitrary oscillator state. This leads to many applications including purity tests, eigenvalue estimation, entropy, and distance measures--all without the need for nonlinear interact...

In this paper, an aproximate analytical method called the differential transform method (DTM) is used as a tool to give approximate solutions of nonlinear oscillators with fractional nonlinearites. The differential transformation method is described in a nuthsell. DTM can simply be applied to linear or nonlinear problems and reduces the required computational effort. The proposed scheme is base...