Sensitivity and Transitivity of Systems Satisfying the Large Deviations Theorem in a Sequence

DOI10.1142/S0218127419501256zbMath1435.37016OpenAlexW2970059398WikidataQ127324097 ScholiaQ127324097MaRDI QIDQ5197656

Risong Li, Anwar Waseem, Tianxiu Lu

Publication date: 19 September 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419501256

zbMATH Keywords

sensitivityergodic sensitivitysyndetic sensitivitylarge deviations theorem in a sequence

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (9)

Three types of distributional chaos for a sequence of uniformly convergent continuous maps ⋮ Sensitivity for topologically double ergodic dynamical systems ⋮ On A Class Between Devaney Chaotic and Li-Yorke Chaotic Generalized Shift Dynamical Systems ⋮ Further discussion about transitivity and mixing of continuous maps on compact metric spaces ⋮ Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps ⋮ The dynamics of nonautonomous dynamical systems with the large deviations theorem ⋮ FURTHER DISCUSSION ON KATO'S CHAOS IN SET-VALUED DISCRETE SYSTEMS ⋮ Unnamed Item ⋮ Study on Strong Sensitivity of Systems Satisfying the Large Deviations Theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on shadowing with chain transitivity
• A note on distributional chaos with respect to a sequence
• Devaney's chaos implies distributional chaos in a sequence
• Interval maps, factors of maps, and chaos
• Decay of correlations for piecewise expanding maps.
• Chaotic properties of mappings on a probability space.
• Rigidity and sensitivity on uniform spaces
• Decay of correlation implies chaos in the sense of Devaney
• Weak-mixing implies sensitive dependence
• Stochastic properties in Devaney's chaos
• Decay of correlations
• The large deviations theorem and ergodic sensitivity
• A note on stronger forms of sensitivity for dynamical systems
• On the large deviations theorem and ergodicity
• Sensitivity and transitivity of fuzzified dynamical systems
• On averaged tracing of periodic average pseudo orbits
• Distributional chaos in a sequence
• On some stochastic properties in Devaney's chaos
• The large deviations theorem and ergodicity
• On the Iteration Properties of Large Deviations Theorem
• Chaos of Transformations Induced Onto the Space of Probability Measures
• On various definitions of shadowing with average error in tracing
• Strong sensitivity of systems satisfying the large deviations theorem
• On Devaney's Definition of Chaos
• Sensitive dependence on initial conditions
• Topological Dynamics of Zadeh’s Extension on Upper Semi-Continuous Fuzzy Sets
• On the Large Deviations Theorem of Weaker Types
• Various Shadowing in Linear Dynamical Systems
• Topological Ergodic Shadowing and Chaos on Uniform Spaces
• Furstenberg families, sensitivity and the space of probability measures
• Stronger forms of sensitivity for dynamical systems

This page was built for publication: Sensitivity and Transitivity of Systems Satisfying the Large Deviations Theorem in a Sequence