In addition to the passive observation of a non­ linear oscillator and the description of the measured data with Lyapounow exponents [1, 2], fractal dimensions [3-5], entropies [6], etc. it is possible to charcterize a non-linear oscillator by an active method, namely by determining its response to specific perturbations. The resonances of harmonic systems which are brought about by a sinusoida...

A piecewise linear oscillator whose oscillation can be completely characterized by algebraic methods is studied. It represents up to the best of authors’s knowledge, the first example where all the oscillation properties can be determined for all the values of the bifurcation parameter, being not a perturbation of the harmonic oscillator. In fact, algebraic expressions for coordinates of repres...

Realisation scheme of a linear voltage controlled quadrature oscillator (LVCQO) using the new second generation conveyor (VCII) is proposed. The topology utilizes pair matched analog multiplier devices coupled appropriately with VCII, as active building block (ABB). oscillation frequency (fo) linearly tunable by control (V); experimental verification exhibits tuning-range upto fo∼10MHz measured...

The nonlinear two-degree-of-freedom system under consideration consists of the linear oscillator with a relatively big mass, which is an approximation of some continuous elastic system, and of the vibro-impact oscillator with a relatively small mass, which is an absorber of the linear system vibrations. Analysis of nonlinear normal vibration modes shows that a stable localized vibration mode, w...

Using algebraic tools of supersymmetric quantum mechanics we construct classes of conditionally exactly solvable potentials being the supersymmetric partners of the linear or radial harmonic oscillator. With the help of the raising and lowering operators of these harmonic oscillators and the SUSY operators we construct ladder operators for these new conditionally solvable systems. It is found t...