- Abstract:
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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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
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(pdf, 1.2mb)
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- Publisher copy:
- 10.1007/s11071-016-2885-z
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- 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:
-
uuid:b79ff6fb-389f-46a8-8462-8feefd084100
- Local pid:
- pubs:647707
- Copyright holder:
- Springer Science+Business Media
- Copyright date:
- 2016
- Notes:
- © Springer Science+Business Media Dordrecht 2016
Journal article
A third-order extension to the Liénard oscillator and it’s competitive modes analysis
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