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Stability of Differential Equations with Application to Mechanics

Stability of Differential Equations with Application to Mechanics
Major
Faculty Faculty of Transportation Engineering
Department Mathematics
Lead Lecturer Prof. D.Sc. Todor Gichev

Elements of Lyapunov stability theory for ordinary differential equations (ODE) are studied: standard, asymptotic and exponential stability, orbital stability, attractors and chaos, stability of linear ODE. Some applications of stability theory to the mechanics of particles and rigid bodies are considered.