14. Kuznetsov V.V. Auto – oscillations of biomechanical systems. - In: “Biological, medical cybernetics and bionics ”, Kiev, 1984, pp. 91-95 (Rus.).
In paper the results of investigations of oscillations of biomechanical system being in equilibrium states (biomechanical oscillator) are presented. The equations describing the biomechanical system (biomechanical oscillator) are presented too, equations system includes themselves as the equation of oscillator with parametric self-excitation so equations describing closed cycle of hydrolyze ATP present themselves active oscillations system (biomechanical oscillator) in that the subsystem describing biochemical processes is relaxation system.
It’s noted that external periodic actions on biomechanical system (such as for example electro – or vibro - stimulations) decrease value of threshold of oscillations generation, there is an similar effect by thermal actions on muscles because thermo energy affluent into system increase speed of chemical reactions.
In paper the experimental investigations results of dependence of oscillations frequency on temperature of muscles (in vivo) are presented too. It’s founded that there are linier dependence between the frequency of auto-oscillations of biomechanical links and the temperature of skin surface of muscles.
15. Kuznetsov V.V. Influence of biomechanical parameters of muscular contractions on stochasticity of auto-oscillations of biomechanical systems. - Proc. of International Conference “Achievements of biomechanics in medicine” (In “Medical biomechanics”), v.1, Riga, 1986, pp. 223-228.
The combined equations describing the movements of biomechanical systems are presented in paper. It’s noted that obtained combined equations of biomechanical system (biomechanical oscillator) movements carry off class of dynamical systems with inertial self - excitation, behavior of that may be to belong to stable limited cycle with hard excitation and with conditions of stochastic auto-oscillations. In this case the realization of analytic researches is not possible, i.e. it’s necessary to use numerical methods of researches. In accordance to results of numerical experiments the bifurcation’s values of system’s parameters were estimated.
It’s obtained that stochastic motions of biomechanical system are depended on nonlinear parts of equations. It’s shown too that external periodic actions on biomechanical system lead to superposition of oscillations one system of that is connected with auto -oscillation’s system and second ones is connected with reaction of biomechanical system on these actions. It’s obtained too that during the resonance external actions there were the stationary oscillations second variables with ratio of frequencies equal to the ratio of integers.
17. Kuznetsov V.V. Auto – oscillations of biomechanical systems. - Dissertation for awarding of doctor’s degree of physical and mathematical sciences (Doctor of physical and mathematical sciences, specialty – 03.00.02 - biophysics), Ì., Moscow State University named M. Lomonosov, 1986, - 188pp. (rus.).
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