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Particles driven by the Van Der Pol dynamics and reaching the limiting cycle Slightly smiling face #dynamicalSystem #nonlinearity #maths | Applications Of Mathematics
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Particles driven by the Van Der Pol dynamics and reaching the limiting cycle Slightly smiling face #dynamicalSystem #nonlinearity #maths | Applications Of Mathematics
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Lecture 5 Part 1: Van der Pol Oscillator
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The van der Pol oscillator is a classic example of a nonlinear dynamical system that models self-sustained oscillations. Unlike simple harmonic motion, where oscillations gradually die out unless energy is added, the van der Pol oscillator contains an internal mechanism that both injects and dissipates energy depending on the state of the system. For small amplitudes, the system amplifies motion, while for large amplitudes it strongly damps it. This push-and-pull behavior causes trajectories to
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