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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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Publisher copy:
10.1007/s11071-016-2885-z

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Department:
Oxford, MPLS, Mathematical Institute
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:
0924-090X and 1573-269X
Pubs id:
pubs:647707
URN:
uri:b79ff6fb-389f-46a8-8462-8feefd084100
UUID:
uuid:b79ff6fb-389f-46a8-8462-8feefd084100
Local pid:
pubs:647707

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