Self-excited vibrations for damped and delayed higher dimensional wave equations

Nemanja Kosovalić;  ; Brian Pigott;

doi:10.3934/dcds.2019102

Self-excited vibrations for damped and delayed higher dimensional wave equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2019102 ◽

2019 ◽

Vol 39 (5) ◽

pp. 2413-2435

Author(s):

Nemanja Kosovalić ◽

◽

Brian Pigott ◽

Keyword(s):

Wave Equations ◽

Higher Dimensional ◽

Dimensional Wave

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Periodic solutions of semilinear higher dimensional wave equations

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(00)00064-3 ◽

2001 ◽

Vol 12 (6) ◽

pp. 1029-1034

Author(s):

Martin Schechter

Keyword(s):

Periodic Solutions ◽

Wave Equations ◽

Higher Dimensional ◽

Dimensional Wave

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A KAM Theorem for Higher Dimensional Wave Equations Under Nonlocal Perturbation

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-019-09738-1 ◽

2019 ◽

Vol 32 (1) ◽

pp. 419-440 ◽

Cited By ~ 1

Author(s):

Yin Chen ◽

Jiansheng Geng

Keyword(s):

Wave Equations ◽

Kam Theorem ◽

Higher Dimensional ◽

Dimensional Wave

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Reducible KAM tori for higher dimensional wave equations under nonlocal and forced perturbation

Journal of Mathematical Physics ◽

10.1063/1.5139667 ◽

2020 ◽

Vol 61 (6) ◽

pp. 062702

Author(s):

Yin Chen ◽

Jiansheng Geng ◽

Shuaishuai Xue

Keyword(s):

Wave Equations ◽

Kam Tori ◽

Higher Dimensional ◽

Dimensional Wave

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Invariant Sets and Exact Solutions to Higher-Dimensional Wave Equations

Communications in Theoretical Physics ◽

10.1088/0253-6102/49/5/07 ◽

2008 ◽

Vol 49 (5) ◽

pp. 1119-1124 ◽

Cited By ~ 2

Author(s):

Qu Gai-Zhu ◽

Zhang Shun-Li ◽

Zhu Chun-Rong

Keyword(s):

Exact Solutions ◽

Wave Equations ◽

Invariant Sets ◽

Higher Dimensional ◽

Dimensional Wave

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Active impedance control of linear one-dimensional wave equations

International Journal of Control ◽

10.1080/002071799221226 ◽

1999 ◽

Vol 72 (3) ◽

pp. 247-257 ◽

Cited By ~ 9

Author(s):

Jwusheng Hu

Keyword(s):

Wave Equations ◽

Impedance Control ◽

One Dimensional ◽

Active Impedance ◽

Dimensional Wave

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Two-Dimensional Wave Equations and Wave Characteristics

Basic Coastal Engineering ◽

10.1007/978-1-4757-2665-7_2 ◽

1997 ◽

pp. 9-52 ◽

Cited By ~ 1

Author(s):

Robert M. Sorensen

Keyword(s):

Wave Equations ◽

Two Dimensional ◽

Wave Characteristics ◽

Dimensional Wave

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On the metric perturbations of the Reissner–Nordström black hole

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1979.0072 ◽

1979 ◽

Vol 367 (1728) ◽

pp. 1-14 ◽

Cited By ~ 11

Keyword(s):

Black Hole ◽

Wave Equations ◽

Schwarzschild Black Hole ◽

One Dimensional ◽

Dimensional Wave

The two pairs of one-dimensional wave equations which govern the odd and the even-parity perturbations of the Reissner–Nordström black hole are derived directly from a treatment of its metric perturbations. The treatment closely parallels the corresponding treatment in the context of the Schwarzschild black hole.

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