Lyapunov exponents, entropy and periodic orbits for diffeomorphisms

547 indexed citations

Abstract

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About

This paper, published in 1980, received 547 indexed citations. Written by A. Katok covering the research area of Statistical and Nonlinear Physics and Mathematical Physics. It is primarily cited by scholars working on Mathematical Physics (518 citations), Statistical and Nonlinear Physics (342 citations) and Geometry and Topology (162 citations). Published in Publications mathématiques de l IHÉS.

Countries where authors are citing Lyapunov exponents, entropy and periodic orbits for diffeomorphisms

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This map shows the geographic impact of Lyapunov exponents, entropy and periodic orbits for diffeomorphisms. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Lyapunov exponents, entropy and periodic orbits for diffeomorphisms with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Lyapunov exponents, entropy and periodic orbits for diffeomorphisms more than expected).

Fields of papers citing Lyapunov exponents, entropy and periodic orbits for diffeomorphisms

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Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of Lyapunov exponents, entropy and periodic orbits for diffeomorphisms. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the Lyapunov exponents, entropy and periodic orbits for diffeomorphisms.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

This paper is also available at doi.org/10.1007/bf02684777.

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