The proof of simultaneous conditional stabilization and destabilization of linear Hamiltonian systems

It is proved that each linear Hamiltonian system is simultaneously conditionally (with respect to a subspace of half dimension) stabilizable and destabilizable by infinitesimal Hamiltonian perturbation.     

Simultaneous attainability of the central exponents of small-dimensional linear Hamiltonian systems

We claim that the upper and lower central exponents of linear Hamiltonian systems of second and fourth orders are simultaneously attainable under uniformly small and infinitesimal Hamiltonian perturbations.     

Holographic Study of the Response of HeLa Cells to Photodynamic Treatment with Endogenously Generated Protoporphyrin IX

Optics and Spectroscopy - Changes in morphological and optical parameters of HeLa cells preincubated with 5-aminolevulinic acid (5-ALA), after photodynamic treatment (PDTr) with different intensity...     

Proof of Simultaneous Conditional Exponential Stabilization and Destabilization of Linear Hamiltonian Systems

It is proved that any linear Hamiltonian system is simultaneously conditionally (with respect to a subspace of half dimension) exponentially stabilizable and destabilizable by uniformly small Hamiltonian perturbations.     

The efficiency of perturbations in the class of linear Hamiltonian systems

It is proved that the set of all limiting values of solutions’ arbitrary indicators under uniformly small perturbations of coefficients of a linear Hamiltonian system is the same as the similar set obtained by uniformly small Hamiltonian perturbations.     

Proof of the strengthened version of simultaneous attainability of central exponents in the class of Hamiltonian systems

The central exponents of a linear Hamiltonian system are moved apart through uniformly small Hamiltonian perturbations of its coefficients, and then they are simultaneously attained by the Lyapunov exponents through infinitesimally small perturbations of the obtained Hamiltonian system.