The resonance spectrum of the cusp map in the space of analytic functions

DOI10.1063/1.1483895zbMath1060.37033arXivnlin/0110009OpenAlexW3104253765MaRDI QIDQ4832688

E. A. Yarevskii, Ioannis E. Antoniou, Stanislav Shkarin

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/nlin/0110009

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (1)

Approximations of Frobenius-Perron operators via interpolation

Cites Work

• The thermodynamic formalism for expanding maps
• Intermittency and regularized Fredholm determinants
• Resonances of dynamical systems and Fredholm-Riesz operators on rigged Hilbert spaces
• New extended spectral decompositions of the Renyi map
• Spectral decomposition of the tent maps and the isomorphism of dynamical systems
• Strange attractors and chaotic motions of dynamical systems
• The exact invariant density for a cusp-shaped return map
• The Lorenz attractor exists
• Resonances of the cusp family

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