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Maxwell: dynamical stability of mechanical governors

Maxwell represented disturbances of regulated machinery with differential equations and connected decaying or growing disturbances to the real parts of characteristic roots.

What is recorded here?

Maxwell represented disturbances of regulated machinery with differential equations and connected decaying or growing disturbances to the real parts of characteristic roots. A governor can overcorrect and produce increasing oscillations. Examining the roots turns that practical problem into a dynamical calculation, contributing a different piece of science from Maxwell's electromagnetic theory.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The inspected opening treats disturbances near steady motion. Maxwell explicitly did not give general stability conditions beyond the third-order cases considered; this is not a universal nonlinear stability criterion.

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People and systems

James Clerk Maxwell

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English catalogue narrative

Maxwell: dynamical stability of mechanical governors

Maxwell represented disturbances of regulated machinery with differential equations and connected decaying or growing disturbances to the real parts of characteristic roots.

A governor can overcorrect and produce increasing oscillations. Examining the roots turns that practical problem into a dynamical calculation, contributing a different piece of science from Maxwell's electromagnetic theory.

Scientific scope

The inspected opening treats disturbances near steady motion. Maxwell explicitly did not give general stability conditions beyond the third-order cases considered; this is not a universal nonlinear stability criterion.

People and systems

James Clerk Maxwell

Original sources