1.

WKB approach applied to 1D time-dependent nonlinear Hamiltonian oscillators

As the first we have developed WKB method for nonlinear power law Hamiltonian oscillators, in the leading order.

COBISS.SI-ID: 68382465

2.

Linearizability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities

In this paper we investigate the linearizability problem for the two-dimensional Lotka-Volterra complex quartic systems which are llinear systems perturbed by the fourth degree homogeneous polynomials. The necessary and sufficient conditions for the linearizability of this system are found. From them the conditions for isochronicity of the corresponding real system can be derived.

COBISS.SI-ID: 18187272

3.

Universal Area Product Formulas for Rotating and Charged Black Holes in Four and Higher Dimensions

We present explicit results for the product of all horizon areas for general rotating multicharge black holes, both in asymptotically flat and asymptotically anti-de Sitter spacetimes in four and higher dimensions. The expressions are universal, and depend only on the quantized charges, quantizedangular momenta and the cosmological constant. If the latter is also quantized these universal results may provide a "looking glass" for probing the microscopics of general black holes.

COBISS.SI-ID: 66894849