Correction to: Suppressing homoclinic chaos for a weak periodically excited non-smooth oscillator (Nonlinear Dynamics, (2020), 99, 2, (1621-1642), 10.1007/s11071-019-05380-0)

Shuangbao Li; Xixi Ma; Xiaoli Bian; Siu Kai Lai; Wei Zhang

doi:10.1007/s11071-022-07351-4

Correction to: Suppressing homoclinic chaos for a weak periodically excited non-smooth oscillator (Nonlinear Dynamics, (2020), 99, 2, (1621-1642), 10.1007/s11071-019-05380-0)

Shuangbao Li, Xixi Ma, Xiaoli Bian, Siu Kai Lai, Wei Zhang

Research output: Journal article publication › Comment/debate/erratum

Abstract

In the original paper, the main results in the subsection 3.3 about control of chaos with adding parametric excitations should be revised, since the precondition of creating chaos in Theorem 4 and Theorem 5 is ignored like the literature [2] and the proof is also not accurate. Based on the results presented in [1], some preparation and new lemmas and theorems for control of chaos with adding parametric excitations are presented in a new form.

Original language	English
Pages (from-to)	4631-4633
Number of pages	3
Journal	Nonlinear Dynamics
Volume	108
Issue number	4
DOIs	https://doi.org/10.1007/s11071-022-07351-4
Publication status	Published - Jun 2022

ASJC Scopus subject areas

Control and Systems Engineering
Aerospace Engineering
Ocean Engineering
Mechanical Engineering
Electrical and Electronic Engineering
Applied Mathematics

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10.1007/s11071-022-07351-4

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title = "Correction to: Suppressing homoclinic chaos for a weak periodically excited non-smooth oscillator (Nonlinear Dynamics, (2020), 99, 2, (1621-1642), 10.1007/s11071-019-05380-0)",

abstract = "In the original paper, the main results in the subsection 3.3 about control of chaos with adding parametric excitations should be revised, since the precondition of creating chaos in Theorem 4 and Theorem 5 is ignored like the literature [2] and the proof is also not accurate. Based on the results presented in [1], some preparation and new lemmas and theorems for control of chaos with adding parametric excitations are presented in a new form.",

author = "Shuangbao Li and Xixi Ma and Xiaoli Bian and Lai, {Siu Kai} and Wei Zhang",

note = "Funding Information: The authors gratefully acknowledge the support of the National Natural Science Foundation of China (NNSFC) through Grant No. 12172376. Publisher Copyright: {\textcopyright} 2022, Springer Nature B.V.",

year = "2022",

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doi = "10.1007/s11071-022-07351-4",

language = "English",

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T2 - Suppressing homoclinic chaos for a weak periodically excited non-smooth oscillator (Nonlinear Dynamics, (2020), 99, 2, (1621-1642), 10.1007/s11071-019-05380-0)

AU - Li, Shuangbao

AU - Ma, Xixi

AU - Bian, Xiaoli

AU - Lai, Siu Kai

AU - Zhang, Wei

N1 - Funding Information: The authors gratefully acknowledge the support of the National Natural Science Foundation of China (NNSFC) through Grant No. 12172376. Publisher Copyright: © 2022, Springer Nature B.V.

PY - 2022/6

Y1 - 2022/6

N2 - In the original paper, the main results in the subsection 3.3 about control of chaos with adding parametric excitations should be revised, since the precondition of creating chaos in Theorem 4 and Theorem 5 is ignored like the literature [2] and the proof is also not accurate. Based on the results presented in [1], some preparation and new lemmas and theorems for control of chaos with adding parametric excitations are presented in a new form.

AB - In the original paper, the main results in the subsection 3.3 about control of chaos with adding parametric excitations should be revised, since the precondition of creating chaos in Theorem 4 and Theorem 5 is ignored like the literature [2] and the proof is also not accurate. Based on the results presented in [1], some preparation and new lemmas and theorems for control of chaos with adding parametric excitations are presented in a new form.

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M3 - Comment/debate/erratum

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JO - Nonlinear Dynamics

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ER -

Correction to: Suppressing homoclinic chaos for a weak periodically excited non-smooth oscillator (Nonlinear Dynamics, (2020), 99, 2, (1621-1642), 10.1007/s11071-019-05380-0)

Abstract

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