Sinai–Ruelle–Bowen measure for normal form map of grazing bifurcations of impact oscillators

DOI10.1088/1751-8121/aa84b9zbMath1384.37030OpenAlexW2743600518MaRDI QIDQ4588416

Hebai Chen, Ji-Ye Zhang, Denghui Li, Jian-Hua Xie

Publication date: 26 October 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/aa84b9

zbMATH Keywords

impact oscillatorSRB measurestrange attractorNordmark map

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items (3)

Hausdorff dimension of chaotic attractors in a class of nonsmooth systems ⋮ Chaotic attractor of the normal form map for grazing bifurcations of impact oscillators ⋮ On the global dynamical properties of a Fermi–Ulam model

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