充满装饰
发表于 2025-3-25 05:10:11
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铺子
发表于 2025-3-25 09:40:38
https://doi.org/10.1007/978-1-349-23334-2The preceding chapter was devoted to an examination of the various degrees of “chaotic” behavior (ergodicity, mixing, and exactness) that measure- preserving transformations may display. In particular, we saw the usefulness of the Koopman and Frobenius-Perron operators in answering these questions.
flammable
发表于 2025-3-25 13:11:08
https://doi.org/10.1007/978-1-349-23334-2In previous chapters we concentrated on discrete time systems because they offer a convenient way of introducing many concepts and techniques of importance in the study of irregular behaviors in model systems. Now we turn to a study of continuous time systems.
grovel
发表于 2025-3-25 19:43:12
Introduction,We begin by showing how densities may arise from the operation of a one- dimensional discrete time system and how the study of such systems can be facilitated by the use of densities.
LEER
发表于 2025-3-25 20:01:09
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油膏
发表于 2025-3-26 01:21:47
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harangue
发表于 2025-3-26 07:09:02
The Asymptotic Properties of Densities,The preceding chapter was devoted to an examination of the various degrees of “chaotic” behavior (ergodicity, mixing, and exactness) that measure- preserving transformations may display. In particular, we saw the usefulness of the Koopman and Frobenius-Perron operators in answering these questions.
认识
发表于 2025-3-26 10:29:44
Continuous Time Systems: An Introduction,In previous chapters we concentrated on discrete time systems because they offer a convenient way of introducing many concepts and techniques of importance in the study of irregular behaviors in model systems. Now we turn to a study of continuous time systems.
KEGEL
发表于 2025-3-26 16:33:17
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Pander
发表于 2025-3-26 17:28:48
Modern Dance and the Modernist Work,e of the material developed in Chapter 5 Although results are often stated in terms of the asymptotic stability of {..}, where . is a Frobenius—Perron operator corresponding to a transformation ., remember that, according to Proposition 5.6.2, . is exact when {..} is asymptotically stable and . is m