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Oscillations of a spring pendulum. (Ukrainian. English summary) Zbl 1088.70507

Summary: We investigate oscillations of a spring pendulum with various initial conditions when physical parameters satisfy a condition of energy exchange. Numerical experiment demonstrates that, depending on initial conditions, the motion of the pendulum can be periodic, quasiperiodic or chaotic.

MSC:

70K40 Forced motions for nonlinear problems in mechanics
70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics

Keywords:

energy exchange