拓扑熵为+∞的系统与拓扑熵映侵的连续性 |
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引用本文: | 陈建威. 拓扑熵为+∞的系统与拓扑熵映侵的连续性[J]. 云南师范大学学报(自然科学版), 2001, 21(2): 14-17 |
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作者姓名: | 陈建威 |
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作者单位: | 蒙自师范高等专科学校数学系,云南 蒙自 661100 |
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摘 要: | 文章构造一个拓扑熵为+∞的系统,证明了拓扑熵映射ent(f)在一致性收敛诱导的拓扑空间:г={f|f∈C^0(I),f:I→I不变,f有常斜率λ>1;↓Aλ∈R }。上是连续的,且存在不可为数映射集合г0属于г,↓Af∈г0,有ent(f)= ∞。
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关 键 词: | 拓扑熵 映射 连续性 +∞ |
文章编号: | 1007-9793(2001)02-14-04 |
修稿时间: | 2000-12-25 |
The system thattopological entropy is + |
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Abstract: | A system has been constructed in this paper, the topologi calentropy is + ∞, and proved topological entropy mapping ent(f) is continuous on topologic al space:Γ={f|f∈C0,f:I→I nonvariable, f with constant slope λ>1,λ∈R+}Which is lead by the uniform convergence. And exist non enumerable mapping setΓ0Γ,f∈Γ0,ent(f)=+∞. |
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Keywords: | topological entropy continuity mapping |
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