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Intermittent transition to chaos in vibroimpact system

V.A. Bazhenov

V.A. Bazhenov

Kyiv National University of Construction and ArchitectureKyiv, Ukraine
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Bazhenov, V.A.
, 
O.S. Pogorelova

O.S. Pogorelova

Kyiv National University of Construction and ArchitectureKyiv, Ukraine
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Pogorelova, O.S.
 and 
T.G. Postnikova

T.G. Postnikova

Kyiv National University of Construction and ArchitectureKyiv, Ukraine
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Postnikova, T.G.
  
Dec 01, 2018
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Published Online: Dec 01, 2018
Page range: 475 - 486
Received: Aug 29, 2018
Accepted: Nov 29, 2018
DOI: https://doi.org/10.2478/AMNS.2018.2.00037
Keywords
© 2018 V.A. Bazhenov et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Fig. 1

Vibroimpact system model
Vibroimpact system model

Fig. 2

Amplitude-frequency response in wide range of excitation frequency
Amplitude-frequency response in wide range of excitation frequency

Fig. 3

Floquet multipliers behaviour at DE region
Floquet multipliers behaviour at DE region

Fig. 4

The largest Lyapunov exponent dependence on control parameter
The largest Lyapunov exponent dependence on control parameter

Fig. 5

Bifurcation diagram
Bifurcation diagram

Fig. 6

Time series and wavelet surface projection for intermittency under ω = 6.076 rad⋅s-1 (Color online)
Time series and wavelet surface projection for intermittency under ω = 6.076 rad⋅s-1 (Color online)

Fig. 7

Time series and wavelet surface projection for intermittency under ω = 6.13 rad⋅s-1 (Color online)
Time series and wavelet surface projection for intermittency under ω = 6.13 rad⋅s-1 (Color online)

Fig. 8

Time series and wavelet surface projection for intermittency under ω = 6.13 rad⋅s-1 (region inside red oval at Fig. 7)
Time series and wavelet surface projection for intermittency under ω = 6.13 rad⋅s-1 (region inside red oval at Fig. 7)

Fig. 9

Surface of wavelet coefficients for intermittency under ω = 6.13 rad⋅s-1 (Color online)
Surface of wavelet coefficients for intermittency under ω = 6.13 rad⋅s-1 (Color online)

Fig. 10

Phase trajectories and Poincare maps for the regions of chaotic and periodic motions under intermittency (ω = 6.13 rad⋅s-1)
Phase trajectories and Poincare maps for the regions of chaotic and periodic motions under intermittency (ω = 6.13 rad⋅s-1)

Fig. 11

Time series and wavelet surface projection for chaotic regime under ω = 6.2 rad⋅s-1 (Color online)
Time series and wavelet surface projection for chaotic regime under ω = 6.2 rad⋅s-1 (Color online)

Fig. 12

Phase trajectories and Poincare map for chaotic motion under ω = 6.2 rad⋅s-1
Phase trajectories and Poincare map for chaotic motion under ω = 6.2 rad⋅s-1

Fig. 13

Surface of wavelet coefficients for chaotic motion under ω = 6.2 rad⋅s-1 (Color online)
Surface of wavelet coefficients for chaotic motion under ω = 6.2 rad⋅s-1 (Color online)
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