Random Dynamical Systems

Random Dynamical Systems
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DOI:
10.1007/bfb0095238
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发表时间:
2003-06
期刊:
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通讯作者:
L. Arnold
L. Arnold
中科院分区:
其他
文献类型:
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作者:
L. Arnold

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随机动力系统理论延续、延伸并统一了概率论和动力系统的各种发展。粗略地说,随机动力系统是以下各项的组合:·测度保持动力系统(!1,J ′,IP ′,(B(t))tE,r),以及·光滑(或拓扑)动力系统,通常由微分或差分方程i:= f(x)或xn+1 =< p(xn)生成。
The theory of random dynamical systems continues, extends, and unites various developments in probability theory and dynamical systems. Roughly speaking, a random dynamical system is a combination of• a measure-preserving dynamical system (! 1, J', lP',(B (t)) tE1r) in the sense of ergodic theory, and• a smooth (or topological) dynamical system, typically generated by a differential or difference equation i:= f (x) or xn+ l=< p (xn).