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Scaled pressure of continuous flows *
Dandan Cheng, Zhiming Li
Northwest University
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In this paper we introduce the notion of scaled pressure of continuous flows. It is proved that scaled pressure is preserved under certain reparametrizations of orbits and Lipschitz conjugations of fixed-point free continuous flows. Moreover, for expansive flows, scaled pressure can be described by period-orbits. In particular, a variational principle is obtained by comparing scaled pressures for continuous flows with their time one maps.
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学术脉络
学科主题
计算机 / AIMathematical Dynamics and Fractals
Advanced Differential Equations and Dynamical Systems · Geometric Analysis and Curvature Flows
参考文献 22
Topological Invariants of Dynamical Systems and Spaces of Holomorphic Maps: I
被引 285Misha Gromov · Mathematical Physics Analysis and Geometry · 1999
Mean dimension and Jaworski-type theorems
被引 71Yonatan Gutman · Proceedings of the London Mathematical Society · 2015
Entropy for group endomorphisms and homogeneous spaces
被引 1,084Rufus Bowen · Transactions of the American Mathematical Society · 1971
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Variational Principle of the Scaled Entropy for Fixed-Point Free Flows
被引 0Zhiming Li, Yongjun Zhang, Bilel Selmi · Qualitative Theory of Dynamical Systems · 2026
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