On the asymptotic form and the reality of spectra of Perron-Frobenius operators

DOI10.1088/0951-7715/7/3/015zbMath0803.47023OpenAlexW1999683592MaRDI QIDQ4299208

Hans Henrik Rugh

Publication date: 29 June 1994

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/7/3/015

zbMATH Keywords

asymptotic behavior of the eigenvalueseigenvalue spectrum of the generalized Perron-Frobenius operator for 1-D maps having two expanding branchesPerron-Frobenius operator associated with nonlinear maps

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) Ergodic theorems, spectral theory, Markov operators (37A30) Linear operators on function spaces (general) (47B38) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability theory for smooth dynamical systems (37C75)

This page was built for publication: On the asymptotic form and the reality of spectra of Perron-Frobenius operators