Universal visibility patterns of unimodal maps.
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Summary
The horizontal visibility is applied to study the class of unimodal maps that give rise to equivalent bifurcation diagrams and an infinite pattern of visibility appears, containing all visibility patterns of the periodic time series of the cascade.
- Type
- article
- Published
- 2020-02-24
- Cited by
- 5
- References
- 29
- Access
- Open access
- OpenAlex
- https://openalex.org/W32611118
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:211258854
Keywords
The Internet, Constitution, Amazon rainforest, Business, Use tax
References
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- Absolutely continuous measures for certain maps of an interval
- On Finite Limit Sets for Transformations on the Unit Interval
- From time series to complex networks: The visibility graph
- Horizontal visibility graphs: exact results for random time series.
- Simple mathematical models with very complicated dynamics
- Feigenbaum graphs at the onset of chaos
- Quantitative universality for a class of nonlinear transformations
- Sequential visibility-graph motifs.
- Sequential motif profile of natural visibility graphs.
- The Data Science Handbook
- R: A language and environment for statistical computing.
- Visibility graphs and symbolic dynamics
Cited by
- On the ubiquity of the ruler sequence.
- From Permutations to Horizontal Visibility Patterns of Periodic Series
- Natural visibility encoding for time series and its application in stock trend prediction
- Attractor selection in nonlinear oscillators by temporary dual-frequency driving
- The Ruler Sequence Revisited: A Dynamic Perspective
- A world without borders revisited: Impact of online sales tax collection on shopping and search
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