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Oscillatory orbits of the parametrically excited pendulum. (English) Zbl 1061.70013

MSC:
70K28 Parametric resonances for nonlinear problems in mechanics
70K20 Stability for nonlinear problems in mechanics
70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics
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[1] DOI: 10.1098/rspa.1995.0005 · Zbl 0822.70017 · doi:10.1098/rspa.1995.0005
[2] Bishop S. R., Eur. J. Mech. 13 pp 581–
[3] Capecchi D., Dyn. Stab. Syst. 9 pp 123–
[4] DOI: 10.1017/S0334270000010687 · Zbl 0859.70017 · doi:10.1017/S0334270000010687
[5] DOI: 10.1098/rspa.1998.0282 · Zbl 0915.70014 · doi:10.1098/rspa.1998.0282
[6] McLachlan N. W., Theory and Applications of Mathieu Function (1964) · Zbl 0128.29603
[7] DOI: 10.1007/978-1-4612-0219-6 · doi:10.1007/978-1-4612-0219-6
[8] DOI: 10.1103/PhysRevLett.52.705 · doi:10.1103/PhysRevLett.52.705
[9] Szemplińska-Stupnicka W., Int. J. Bifurcation and Chaos 10 pp 2161– · Zbl 1064.37027
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