[en] The energy gain of an electron, passing a single resonance zone in ECR ion source has been calculated, using canonical perturbation technique. The effect of sextupole magnetic field on plasma confinement has been studied. 5 refs

[en] The effect of synchrotron radiation on particle dynamics in ee-bar storage rings in the presence of linear synchro-betatron coupling has been investigated. A systematic method for adiabatic elimination of angle variables, using the projection operator technique has been presented. AN expression for the horizontal beam lifetime has been derived. 10 refs.; 1 fig

[en] The combined action of a linear synchro-betatron resonance, due to a nonzero dispersion at the interaction point of a colliding beam device and a standard beam-beam parametric resonance has been analyzed. The synchro-betatron resonance has been studied involving the single resonance model. The projected emittance on the horizontal phase subspace has been calculated. 7 refs

[en] The theory of accelerated orbits in AVF cyclotons through a fully six-dimensional hamiltonians formalism is developed. The design orbit of a particle, the betatron motion and the phase motion are calculated in linear approximation. The 'quasi-equilibrium orbit' and dispersion are studied in the framework of the Hamiltonian formalism. 8 refs

[en] An attempt has been made to calculate the bandwidths of isolated sum resonances of the third and fourth order. From Hamiton's equations and invariants of motion expressions for the effective potential are derived which are examined by the methods of elementary cathastrophe theory. The final result is expressed by the formulae giving the opportunity to evaluate the bandwidth of all sum resonances of the third and fourth order. Solutions of Hamiltonian's equations are obtained in the form of elliptic functions for the resonances mentioned, an estimate for the development time for the resonance is given and a scheme for calculation of the resonances of higher order is proposed

[en] The movement of an electron in the constant electrical and dispersed magnetic fields of an accelerator of direct transformer type is studied. Given the initial position and velocity and using a coordinate transformation, the equations of motion are solved analytically for the x and y coordinates, with the axial position z as independent variable