Chaotic planar piecewise smooth vector fields with non-trivial minimal sets
2014 ◽
Vol 36
(2)
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pp. 458-469
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Keyword(s):
In this paper some aspects on chaotic behavior and minimality in planar piecewise smooth vector fields theory are treated. The occurrence of non-deterministic chaos is observed and the concept of orientable minimality is introduced. Some relations between minimality and orientable minimality are also investigated and the existence of new kinds of non-trivial minimal sets in chaotic systems is observed. The approach is geometrical and involves the ordinary techniques of non-smooth systems.
2014 ◽
Vol 24
(07)
◽
pp. 1450090
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2016 ◽
Vol 106
(6)
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pp. 1174-1185
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Keyword(s):
2014 ◽
Vol 418
(1)
◽
pp. 11-30
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Keyword(s):
2018 ◽
Vol 30
(4)
◽
pp. 1899-1920
Keyword(s):
2020 ◽
Vol 30
(07)
◽
pp. 2050098
2016 ◽
Vol 261
(7)
◽
pp. 4008-4029
◽
2012 ◽
Vol 22
(12)
◽
pp. 1250291
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Keyword(s):