W-LIKE MAPS WITH VARIOUS INSTABILITIES OF ACIM'S

DOI10.1142/S021812741350079XzbMath1270.37027arXiv1109.5199OpenAlexW2951832709MaRDI QIDQ2845295

Zhenyang Li

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5199

zbMATH Keywords

absolutely continuous invariant measureslower bound for invariant density\(W\)-like mapinstability of ACIM

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems involving maps of the interval (37E05) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (3)

Piecewise convex deterministic dynamical systems and weakly convex random dynamical systems and their invariant measures ⋮ Harmonic average of slopes and the stability of absolutely continuous invariant measure ⋮ Stronger Lasota-Yorke inequality for one-dimensional piecewise expanding transformations

Cites Work

• Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
• Stochastic stability in some chaotic dynamical systems
• Singular limits of absolutely continuous invariant measures for families of transitive maps
• Approximating invariant densities of metastable systems
• Invariant densities for piecewise linear maps of the unit interval
• Approximating the Invariant Densities of Transformations with Infinitely Many Pieces on the Interval
• Family of piecewise expanding maps having singular measure as a limit of ACIMs
• Alternative proofs of linear response for piecewise expanding unimodal maps

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