Research Article

Oscillator with a Sum of Noninteger-Order Nonlinearities

Table 1

The values of ๐›ผ = ( 2 ๐œˆ + 1 ) / ( 2 ๐œ‡ + 1 ) , ๐œ‡ , ๐œˆ โˆˆ โ„• 0 , by Senikโ€™s traces.

๐œ‡ โงต ๐œˆ 0 1 2 3 4 5 6 7 โ€ฆ

0 1 3 5 7 9 11 13 15
1 1/3 1 5/3 7/3 3 11/3 13/3 5
2 1/5 3/5 1 7/5 9/5 11/5 13/5 3
3 1/7 3/7 5/7 1 9/7 11/7 13/7 15/7
4 1/9 1/3 5/9 7/9 1 11/9 13/9 5/3
5 1/11 3/11 5/11 7/11 9/11 1 13/11 15/11
6 1/13 3/13 5/13 7/13 9/13 11/13 1 15/13
7 1/15 1/5 1/3 7/15 3/5 11/15 13/15 1
โ‹ฎ โ‹ฑ