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Some possible scenarios of the two-parameter dynamic system evolution
Abstract. Interrelation of two leading parameters of a dynamic system in evolution has been considered. Homogeneous system of first-order differential equations with two unknown functions has been solved for some special cases of time-varying equation coefficients. Physical interpretation of the examples considered has been presented. It has been determined that a character of change for the leading parameters of the dynamic system depends on a type of functions-coefficients composing the differential equation system. If one function is proportional to another one, a concerted change of the leading parameters in time is observed. If the functions are different, both concerted and non-concerted change of the dynamic system parameters is possible.
Keywords: system of differential equations, dynamic system parameters, geological environment, strain energy
Printed reference: Savchenko S.N. Some possible scenarios of the two-parameter dynamic system evolution // Vestnik of MSTU. 2013. V. 16, No 4. P. 789-792.
Electronic reference: Savchenko S.N. Some possible scenarios of the two-parameter dynamic system evolution // Vestnik of MSTU. 2013. V. 16, No 4. P. 789-792. URL: http://vestnik.mstu.edu.ru/v16_4_n54/789_792_savche.pdf.