Spectrum and eigenfunctions of the Frobenius-Perron operator of the tent map

DOI10.1007/BF01010528zbMath0624.58037MaRDI QIDQ578708

M. Dörfle

Publication date: 1985

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

chaosFrobenius-Perron operatorinvariant measurecorrelation functionpower spectrumpoint spectrumcritical slowing downtent mapleft and right eigenfunctionsnull spaces

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Integration on manifolds; measures on manifolds (58C35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (14)

Statistical properties of chaos demonstrated in a class of one-dimensional maps ⋮ Unstable evolution of pointwise trajectory solutions to chaotic maps ⋮ On the probability of finding nonphysical solutions through shadowing ⋮ Eigenfunctions of the Perron–Frobenius operators for generalized beta-maps ⋮ Escape-rate response to noise of all amplitudes in leaky chaos ⋮ On the bifurcation structure of the mean-field fluctuation in the globally coupled tent map systems ⋮ On the effect of pruning on the singularity structure of zeta functions ⋮ Bifurcations in globally coupled chaotic maps. ⋮ Spectral decomposition of the tent maps and the isomorphism of dynamical systems ⋮ Central limit theorem behavior in the skew tent map ⋮ Rigged Hilbert spaces for chaotic dynamical systems ⋮ Generalized spectral decomposition and intrinsic irreversibility of the Arnold cat map ⋮ Spectral decomposition of the tent map with varying height ⋮ Spectral decomposition of piecewise linear monotonic maps.

Cites Work

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• Quantitative universality for a class of nonlinear transformations
• Time-Correlation Functions of One-Dimensional Transformations
• Deterministic Nonperiodic Flow

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