NDLI: Multiple Wada basins with common boundaries in nonlinear driven oscillators

Content Provider	Springer Nature Link
Author	Zhang, Yongxiang Zhang, Huaguang Gao, Wenzhong
Copyright Year	2014
Abstract	In driven oscillators, examples are shown that every boundary point of one basin is on the boundary of the two remaining basins and all three boundaries of these basins coincide. When there are more than five basins of attraction, is it possible that every boundary point of one basin is on the boundary of other basins? Is it possible that all basin boundaries coincide? This paper describes some numerical experiments giving evidence of seven Wada basin boundaries and all seven basin boundaries coincide for a driven shallow arch oscillator. The results are verified by the basin cell theory. It suggests that small noises can lead to final state sensitivity and uncertain dynamics in the driven oscillator.
Starting Page	2667
Ending Page	2674
Page Count	8
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	79
Issue Number	4
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2014-12-14
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Wada basins Fractal basins Attractors Shallow arch Unpredictability Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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Multiple Wada basins with common boundaries in nonlinear driven oscillators