Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios
2011 ◽
Vol 2011
◽
pp. 1-30
◽
Keyword(s):
We investigate the structure of the chaotic domain of a specific one-dimensional piecewise linear map with one discontinuity. In this system, the region of ``robust" chaos is embedded between two periodic domains. One of them is organized by the period-adding scenario whereas the other one by the period-increment scenario with coexisting attractors. In the chaotic domain, the influence of both adjacent periodic domains leads to the coexistence of the recently discovered bandcount adding and bandcount-increment scenarios. In this work, we focus on the explanation of the overall structure of the chaotic domain and a description of the bandcount adding and bandcount increment scenarios.
1993 ◽
Vol 03
(06)
◽
pp. 1557-1572
◽
Keyword(s):
2003 ◽
Vol 13
(07)
◽
pp. 1657-1663
◽
Keyword(s):
2011 ◽
Vol 38
(3)
◽
pp. 329-347
◽
Keyword(s):
Keyword(s):
2015 ◽
Vol 25
(13)
◽
pp. 1550184
◽
Keyword(s):
1983 ◽
Vol 33
(1)
◽
pp. 195-221
◽
2010 ◽
Vol 20
(05)
◽
pp. 1365-1378
◽