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Non-conservative Hamiltonian systems and dissipative systemsThe simplest mathematical models of a non-linear oscillator with a force of friction and an external action are: ., ..猛击 发表于 2025-3-27 10:23:36
Natural oscillations of non-linear oscillatorsAssuming that the pendulum shown in Fig 5.1. oscillates in a single plane and ignoring friction forces, we obtain the following equation for the angle of rotation .: . where . is the mass of the ball, and . is the length of the thread.共同生活 发表于 2025-3-27 17:25:47
Natural oscillations in systems of coupled oscillatorsThe general theory of normal oscillations in linear systems with constant parameters is adequately covered in many books (for example, see ). So here we call attention only to the fundamental tenets of this theory and to some concrete results.符合规定 发表于 2025-3-27 19:20:13
Oscillations of a non-linear oscillator excited by an external forceLet us consider a non-linear oscillator driven by a periodic external force with period .. Let the equation of this oscillator be . where . is a periodic function that can be represented in the form of a Fourier series:可转变 发表于 2025-3-27 23:30:27
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