A difference characteristic for one-dimensional deterministic systems |
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| Affiliation: | 1. Department of Physical, Mathematical and Technical Sciences, Institute of Radiation Problems, Azerbaijan National Academy of Sciences, AZ 1143 - Baku, Azerbaijan;2. National Nuclear Research Center CJSC, AZ1073, Baku, Azerbaijan;1. Institute of Physics of National Academy of Sciences of Azerbaijan, H. Javid ave. 133, Baku, AZ-1143, Azerbaijan;2. Baku Engineering University, Hasan Aliyev str. 120, Absheron AZ-0101, Baku, Azerbaijan;3. National Research Nuclear University MEPhI, 115409 Moscow, Russian Federation;4. Khazar University, Mahsati str. 41, AZ 1096, Baku, Azerbaijan;5. Faculty of Physics, Moscow State University, Leninskie Gory 1–2, 119991 Moscow, Russian Federation;6. BLTP, JINR, Dubna, Moscow region, 141980, Russian Federation;7. Dubna State University, Dubna, Moscow region, 141980, Russian Federation;8. School of Physical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India;9. Physics Department, Bilkent University, 06800 Ankara, Turkey |
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| Abstract: | A numerical characteristic for one-dimensional deterministic systems reflecting its higher order difference structure is introduced. The comparison with Lyapunov exponent is given. A difference analogy for Eggleston theorem as well as an estimate for Hausdorff dimension of the difference attractor, formulated in terms of the new characteristic is proved. |
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