Zeta-functions of renormalizable sub-Lorenz templates |
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| Authors: | Nuno Franco Luís Silva |
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| Institution: | 1. School Of Mechanics And Engineering, Southwest Jiaotong University, Chengdu, Sichuan, 610031, China;2. School Of Mathematics And Statistics, Hexi University, Zhangye, Gansu, 734000, China;3. Institute For Complex Systems And Mathematical Biology King’S College, University Of Aberdeen, Aberdeen Ab24 3Ue, United Kingdom;1. Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, Via Madonna del Piano 10 Sesto Fiorentino I-50019, Italy;2. Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, via G. Sansone 1 Sesto Fiorentino, I-50019, Italy;3. Department of Physics and Astronomy, University of Potsdam Karl-Liebknecht-Str 24/25, Bldg 28 Potsdam, D-14476, Germany;4. Department of Control Theory, Lobachevsky University of Nizhny Novgorod, Gagarin Avenue 23, Nizhny Novgorod 603950, Russia |
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| Abstract: | We describe the Williams zeta-functions and the twist zeta-functions of sub-Lorenz templates generated by renormalizable Lorenz maps, in terms of the corresponding zeta-functions of the sub-Lorenz templates generated by the renormalized map and by the map that determines the renormalization type. |
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