Mathematical modeling of critical phenomena in thermal explosion theory

Study of Oscillatory Processes in the One Model of Electrochemical Reactor

“…The critical regime separating the basic types of the regimes, slow and relaxation, was modelled with the help of the integral manifolds of variable stability. This approach was used in [13][14][15][16][17][18][19][20][21][22][23] for modelling of the critical phenomena in chemical systems.…”

Critical Conditions of Ignition of Fuel Spray Containing Liquid Fuel Droplets

“…Such approach to modeling of the critical phenomena in combustion problems has been applied in [7,12,21,23,25].…”

“…The investigation of the ignition process in a gas medium was carried out by many authors, see, for instance, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] and references therein. However, the influence of liquid droplets within such a context is less studied [17].…”

Three Scenarios for Changing of Stability in the Dynamic Model of Nerve Conduction

“…The first case corresponds to the transition of one real eigenvalue of the linearized fast subsystem through zero when the slow variables are changed. This scenario for delaying of the loss of stability in the singularly perturbed systems is associated with the canards or duck-trajectories [6][7][8][9][10][11][12][13][14][15][16]. In the second case a pair of complex conjugate eigenvalues passes from the left complex half-plane to the right one [17][18][19].…”