In the 5D spherical pendulum-motor system, limit sets obey y1 y5 - y2 y4 = 0 with proportionality relations, reducing dynamics to a 3D subsystem parameterized by K; global stability of y* = (0,0,-F/E,0,0) holds for C ≤ -2.
Chaos in dynamics of machines with a limited power-supply
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Identification of limit sets of a non-ideal system: spherical pendulum-excitation source
In the 5D spherical pendulum-motor system, limit sets obey y1 y5 - y2 y4 = 0 with proportionality relations, reducing dynamics to a 3D subsystem parameterized by K; global stability of y* = (0,0,-F/E,0,0) holds for C ≤ -2.