A Maximum Entropy Method Based on Orthogonal Polynomials for Frobenius-Perron Operators
2011 ◽
Vol 3
(2)
◽
pp. 204-218
◽
Keyword(s):
AbstractLet S: [0, 1]→[0, 1] be a chaotic map and let f* be a stationary density of the Frobenius-Perron operator PS: L1→L1 associated with S. We develop a numerical algorithm for approximating f*, using the maximum entropy approach to an under-determined moment problem and the Chebyshev polynomials for the stability consideration. Numerical experiments show considerable improvements to both the original maximum entropy method and the discrete maximum entropy method.
2015 ◽
Vol 8
(1)
◽
pp. 117-127
1999 ◽
Vol 42
(11)
◽
pp. 1129-1136
◽
Keyword(s):
1996 ◽
Vol 51
(5-6)
◽
pp. 337-347
◽
1992 ◽
Vol 1
(4)
◽
pp. 313-320
◽
1987 ◽
Vol 4
(1)
◽
pp. 78-82
◽
Keyword(s):