Abstract
A linear oscillator driven by periodic perturbation is considered. The infinite connected chaotic structures in phase plane emerge when the perturbation is of the form of the periodic {delta}-function and the exact resonance condition is fulfilled. These structures are shown to be unstable and completely destroyed if the duration of the perturbation kick is arbitrarily short but finite. 7 refs., 3 figs.
Citation Formats
Vecheslavov, V V.
Instability of weakly nonlinear chaotic structures.
Russian Federation: N. p.,
1994.
Web.
Vecheslavov, V V.
Instability of weakly nonlinear chaotic structures.
Russian Federation.
Vecheslavov, V V.
1994.
"Instability of weakly nonlinear chaotic structures."
Russian Federation.
@misc{etde_10112433,
title = {Instability of weakly nonlinear chaotic structures}
author = {Vecheslavov, V V}
abstractNote = {A linear oscillator driven by periodic perturbation is considered. The infinite connected chaotic structures in phase plane emerge when the perturbation is of the form of the periodic {delta}-function and the exact resonance condition is fulfilled. These structures are shown to be unstable and completely destroyed if the duration of the perturbation kick is arbitrarily short but finite. 7 refs., 3 figs.}
place = {Russian Federation}
year = {1994}
month = {Dec}
}
title = {Instability of weakly nonlinear chaotic structures}
author = {Vecheslavov, V V}
abstractNote = {A linear oscillator driven by periodic perturbation is considered. The infinite connected chaotic structures in phase plane emerge when the perturbation is of the form of the periodic {delta}-function and the exact resonance condition is fulfilled. These structures are shown to be unstable and completely destroyed if the duration of the perturbation kick is arbitrarily short but finite. 7 refs., 3 figs.}
place = {Russian Federation}
year = {1994}
month = {Dec}
}