Journal of Lanzhou University of Technology ›› 2025, Vol. 51 ›› Issue (4): 147-151.

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Topological pressure for discontinuous flows

ZHANG Jun-jie1, LIANG Ya-li2,3, WANG Wei4   

  1. 1. School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou 215009, China;
    2. School of Hospitality and Culinary Arts, Shanghai Institute of Tourism, Shanghai 201418, China;
    3. School of Tourism, Shanghai Normal University, Shanghai 200234, China;
    4. School of General Education, Nantong Institute of Technology, Nantong 226002, China
  • Received:2023-07-07 Online:2025-08-28 Published:2025-09-05

Abstract: Giving the definition of topological pressure on discontinuous semiflow andstudying its properties on discontinuous semiflow, these definitionsequalling to classical definition are proved in the case of continuous semiflow. In addition, topological τ-pressure is defined and its relationship with topological pressure on discontinuous semiflow is studied.

Key words: discontinuous semiflow, dynamical system, topological τ-pressure

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