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nlin.CD2012★ 6 cited
Exact nonlinear fourth-order equation for two coupled nonlinear oscillators: metamorphoses of resonance curves
Jan Kyziol, Andrzej Okninski
We study dynamics of two coupled periodically driven oscillators. The internal motion is separated off exactly to yield a nonlinear fourth-order equation describing inner dynamics.…
nlin.CD2012★ 10 cited
Simple model of bouncing ball dynamics. Displacement of the limiter assumed as a cubic function of time
Andrzej Okninski, Boguslaw Radziszewski
Nonlinear dynamics of a bouncing ball moving vertically in a gravitational field and colliding with a moving limiter is considered and the Poincare map, describing evolution from a…