Journal article
A third-order extension to the Liénard oscillator and it’s competitive modes analysis
- Abstract:
-
We study the dynamics of nonlinear differential equations of the form x + f (x)x + g(x, x)x + h(x) = 0, which is a third-order extension to the Liénard oscillator equation. This equation holds a number of interesting and physically relevant third-order dynamical systems as special cases. We present a general competitive modes analysis in order to derive some necessary conditions under which the such systems admit chaos. For several of the interesting reductions of the equations, we demonstrat...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
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(pdf, 1.2MB)
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- Publisher copy:
- 10.1007/s11071-016-2885-z
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Authors
Bibliographic Details
- Publisher:
- Springer Publisher's website
- Journal:
- Nonlinear Dynamics Journal website
- Volume:
- 86
- Issue:
- 1
- Pages:
- 235-244
- Publication date:
- 2016-06-05
- Acceptance date:
- 2016-05-31
- DOI:
- ISSN:
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0924-090X and 1573-269X
- Pubs id:
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pubs:647707
- URN:
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uri:b79ff6fb-389f-46a8-8462-8feefd084100
- UUID:
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uuid:b79ff6fb-389f-46a8-8462-8feefd084100
- Local pid:
- pubs:647707
Item Description
Terms of use
- Copyright holder:
- Springer Science+Business Media
- Copyright date:
- 2016
- Notes:
- © Springer Science+Business Media Dordrecht 2016
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