Parametric Resonance
A phenomenon in dynamical systems in which a system parameter, such as stiffness or damping, varies periodically at twice the system's natural frequency, causing exponential growth in amplitude even without external forcing. The classic example is a swing.
Timeline (last 90 days)
A recent theoretical study analyzed the dynamical behavior under two types of non-stationary channels (additive channel and parametric channel), revealed a parametric resonance mechanism, and verified the theoretical predictions in a soft actor-critic (SAC) agent.
The instability of primal-dual methods stems from a mismatch between the constraint estimate used in the primal update and the measurement used in the dual update, and this mismatch triggers parametric resonance at twice the paired natural frequency.
Parametric resonance refers to the phenomenon in which a system parameter varies periodically at twice the system's natural frequency, causing the system amplitude to grow exponentially even without external forcing.
All Facts (3)
The instability of primal-dual methods stems from a mismatch between the constraint estimate used in the primal update and the measurement used in the dual update, and this mismatch triggers parametric resonance at twice the paired natural frequency.
50%UnverifiedParametric resonance refers to the phenomenon in which a system parameter varies periodically at twice the system's natural frequency, causing the system amplitude to grow exponentially even without external forcing.
50%UnverifiedA recent theoretical study analyzed the dynamical behavior under two types of non-stationary channels (additive channel and parametric channel), revealed a parametric resonance mechanism, and verified the theoretical predictions in a soft actor-critic (SAC) agent.
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