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On global stability of coupled pendulums. (English. Russian original) Zbl 0677.34049

Sov. Math., Dokl. 36, No. 3, 437-442 (1988); translation from Dokl. Akad. Nauk SSSR 297, 265-270 (1987).
The author extends his previous results, investigating the global stability of double and coupled pendula with discontinuous characteristics. They give a sufficient condition for global asymptotic stability of a system of differential equations, which describes the motion of two coupled pendula.
Reviewer: A.Kanevskij

MSC:

34D20 Stability of solutions to ordinary differential equations
70K20 Stability for nonlinear problems in mechanics