Exact Multiplicity and Stability of Periodic Solutions for Duffing Equation with Bifurcation Method

Qualitative Theory of Dynamical Systems ◽

10.1007/s12346-018-0296-x ◽

2018 ◽

Vol 18 (2) ◽

pp. 477-493

Author(s):

Shuqing Liang

Keyword(s):

Periodic Solutions ◽

Duffing Equation ◽

Bifurcation Method ◽

Exact Multiplicity

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Exact Multiplicity and Stability of Periodic Solutions for a Duffing Equation

Mediterranean Journal of Mathematics ◽

10.1007/s00009-012-0189-1 ◽

2012 ◽

Vol 10 (1) ◽

pp. 189-199 ◽

Author(s):

S. Liang

Keyword(s):

Periodic Solutions ◽

Duffing Equation ◽

Exact Multiplicity

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Exact multiplicity for periodic solutions of a first-order differential equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2003.12.031 ◽

2004 ◽

Vol 292 (2) ◽

pp. 415-422 ◽

Author(s):

Hongbin Chen ◽

Yi Li

Keyword(s):

Differential Equation ◽

Periodic Solutions ◽

Order Differential Equation ◽

First Order ◽

Exact Multiplicity

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Periodic Solutions of a Modified Duffing Equation Subjected to a Bi-Harmonic Parametric and External Excitations

British Journal of Mathematics & Computer Science ◽

10.9734/bjmcs/2016/25684 ◽

2016 ◽

Vol 16 (4) ◽

pp. 1-12 ◽

Author(s):

A Elnaggar ◽

A El-Bassiouny ◽

K Khalil ◽

A Omran

Keyword(s):

Periodic Solutions ◽

Duffing Equation ◽

Parametric And External Excitations

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Periodic solutions of the Duffing equation

STRUCTURAL ENGINEERING AND MECHANICS ◽

10.12989/sem.2008.30.5.593 ◽

2008 ◽

Vol 30 (5) ◽

pp. 593-602

Author(s):

Jale Tezcan ◽

J. Kent Hsiao

Keyword(s):

Periodic Solutions ◽

Duffing Equation

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A note on periodic solutions of the Duffing equation

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(64)90033-2 ◽

1964 ◽

Vol 9 (3) ◽

pp. 498-501 ◽

Author(s):

Raimond A Struble

Keyword(s):

Periodic Solutions ◽

Duffing Equation

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A priori bounds for periodic solutions of a Duffing equation

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-007-0024-1 ◽

2008 ◽

Vol 26 (1-2) ◽

pp. 535-543 ◽

Author(s):

Xinmin Wu ◽

Jingwen Li ◽

Yong Zhou

Keyword(s):

Periodic Solutions ◽

A Priori ◽

Duffing Equation ◽

A Priori Bounds

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The rate of decay of stable periodic solutions for Duffing equation with L p -conditions

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-016-0358-1 ◽

2016 ◽

Vol 23 (2) ◽

Author(s):

Shuqing Liang

Keyword(s):

Periodic Solutions ◽

Duffing Equation ◽

Stable Periodic ◽

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Existence of 2π-periodic solutions for the non-dissipative Duffing equation under asymptotic behaviors of potential function

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-005-0019-4 ◽

2005 ◽

Vol 57 (1) ◽

pp. 1-11 ◽

Author(s):

W. B. Liu ◽

Y. Li

Keyword(s):

Periodic Solutions ◽

Potential Function ◽

Duffing Equation ◽

Asymptotic Behaviors

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Stability properties of periodic solutions of a Duffing equation in the presence of lower and upper solutions

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00062-0 ◽

2003 ◽

Vol 135 (2-3) ◽

pp. 471-490 ◽

Author(s):

Franic Ikechukwu Njoku ◽

Pierpaolo Omari

Keyword(s):

Periodic Solutions ◽

Duffing Equation ◽

Lower And Upper Solutions ◽

Stability Properties

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A Bifurcation Phenomenon for the Periodic Solutions of the Duffing Equation without Damping Terms

Interdisciplinary Information Sciences ◽

10.4036/iis.2003.259 ◽

2003 ◽

Vol 9 (2) ◽

pp. 259-268

Author(s):

Yoshifumi TAKENOUCHI

Keyword(s):

Periodic Solutions ◽

Duffing Equation ◽

Bifurcation Phenomenon

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