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Chaos in a non-autonomous nonlinear system describing asymmetric water wheels

Abstract:

We derive a water wheel model from first principles under the assumption of an asymmetric water wheel for which the water in flow rate is in general unsteady (modeled by an arbitrary function of time). Our model allows one to recover the asymmetric water wheel with steady flow rate, as well as the symmetric water wheel, as special cases. Under physically reasonable assumptions we then reduce the underlying model into a non-autonomous nonlinear system. In order to determine parameter regimes g...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1007/s11071-018-4301-3

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Publisher:
Springer Publisher's website
Journal:
Nonlinear Dynamics Journal website
Volume:
93
Issue:
4
Pages:
1977–1988
Publication date:
2018-05-05
Acceptance date:
2018-04-19
DOI:
EISSN:
1573-269X
ISSN:
0924-090X
Pubs id:
pubs:843413
URN:
uri:ed53df8d-3282-400e-a08f-623f51c907b6
UUID:
uuid:ed53df8d-3282-400e-a08f-623f51c907b6
Local pid:
pubs:843413

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