A method is developed which uses the exponential sensitivity of a chaotic system to tiny perturbations to direct the system to a desired accessible state in a short time. This is done by applying a small, judiciously chosen, perturbation to an available system parameter. An expression for the time required to reach an accessible state by applying such a perturbation is derived and confirmed by ...

Complete eigenfunctions of linearized integrable equations expanded around an arbitrary solution are obtained for the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and the Korteweg-de Vries (KdV) hierarchy. It is shown that the linearization operators and the recursion operator which generates the hierarchy are commutable. Consequently, eigenfunctions of the linearization operators are precisely ...

In this work another perturbation estimation sliding mode based control algorithm is introduced for a class of robotic systems in the presence of structured and unstructured uncertainties and external disturbances. The effects of these uncertainties are combined into a single quantity. The full order plant with the actuator voltages as control inputs is assumed in control design. The decentrali...

The direct object retrieval via the linearized inversion of the dynamical scattering matrix is extended using a second order perturbation theory and including mixed type potentials. The higher order perturbation increases the confidence region extracting object thickness and bending directly out of amplitude and phase of an electron wave without using trial-and-error iterative matching. Applyin...

The three-step model (TSM) of high-harmonic generation (HHG) is generalized to atomic and molecular many-electron systems. Using many-body perturbation theory, corrections to the standard TSM due to exchange and electron-electron correlations are derived. It is shown that canonical Hartree-Fock orbitals represent the most appropriate set of one-electron states for calculating the HHG spectrum. ...

A phenomenological analysis of K → ππγ (KL → ππγ and K → ππγ) with the direct emission photon is carried out beyond the leading order in the chiral perturbation theory. We show that the experimental evidence for the large photon energy dependence of the magnetic amplitude in KL → ππγ seems to indicate an interesting consequence: vector meson dominance must be implemented at O(p), which is not a...

Radar ranging from Arecibo, Puerto Rico, to the 0.5-kilometer near-Earth asteroid 6489 Golevka unambiguously reveals a small nongravitational acceleration caused by the anisotropic thermal emission of absorbed sunlight. The magnitude of this perturbation, known as the Yarkovsky effect, is a function of the asteroid's mass and surface thermal characteristics. Direct detection of the Yarkovsky ef...

Objectives: To check and compare the effectiveness of modified agility and perturbation training over conventional physical therapy in patients with knee osteoarthritis. Methods: Subjects were screened on the basis of inclusion and exclusion criteria and a total of 50 subjects were recruited for the study. They were randomly divided into Group A and group B with n=25 each. Results: Group ...

Non-equilibrium Green’s function formalism (NEGF) by employing timedependent (TD) perturbation theory is used to solve the electronic equations of motion of model systems under potential biasing conditions. The time propagation is performed in the full frequency domain of the two time variables representation. We analyze transient aspects of the resulting conductance under effects of applied di...

We investigate dynamical systems with stochastic perturbation and study to what extend analytical properties of the noise present influence the spectrum of the associated Frobenius–Perron operator. We suggest to distinguish a “physical” part of the spectrum of the deterministic system, as this robust with respect to the perturbation. For exemplary system studied such eigenvalues of the FP-opera...