Using periodic orbits to compute chaotic transport rates between resonance zones.
Sign Up to like & getrecommendations! Published in 2017 at "Chaos"
DOI: 10.1063/1.4998219
Abstract: Transport properties of chaotic systems are computable from data extracted from periodic orbits. Given a sufficient number of periodic orbits, the escape rate can be computed using the spectral determinant, a function that incorporates the… read more here.
Keywords: escape rates; transport; phase space; periodic orbits ... See more keywords
Rank ordered beta distributions of nonlinear map symbolic dynamics families with a first-order transition between dynamical regimes.
Sign Up to like & getrecommendations! Published in 2018 at "Chaos"
DOI: 10.1063/1.5027784
Abstract: Rank-ordered distributions have been a matter of intense study. Often Zipf type invariant scaling is invoked; however, in the last decade the ubiquity of a Discrete Generalized Beta Distribution, DGBD, with two scaling exponents has… read more here.
Keywords: order; rank ordered; first order; transition ... See more keywords
Experimental study on early detection of cascade flutter in turbo jet fans using combined methodology of symbolic dynamics, dynamical systems theory, and machine learning
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied Physics"
DOI: 10.1063/1.5143373
Abstract: Cascade flutter driven by aerodynamic instability leads to severe structural destruction of turbine blades in aircraft engines. The development of a sophisticated methodology for detecting a precursor of cascade flutter is one of the most… read more here.
Keywords: cascade flutter; methodology; dynamical systems; symbolic dynamics ... See more keywords
A review of symbolic dynamics and symbolic reconstruction of dynamical systems.
Sign Up to like & getrecommendations! Published in 2023 at "Chaos"
DOI: 10.1063/5.0146022
Abstract: Discretizing a nonlinear time series enables us to calculate its statistics fast and rigorously. Before the turn of the century, the approach using partitions was dominant. In the last two decades, discretization via permutations has… read more here.
Keywords: time series; symbolic reconstruction; reconstruction dynamical; symbolic dynamics ... See more keywords
Michelson–Morley experiments – an enigma for physics and the history of science
Sign Up to like & getrecommendations! Published in 2019 at "Contemporary Physics"
DOI: 10.1080/00107514.2019.1660714
Abstract: TwoChinese physicists, pioneers in the applications of these methods in the field of nonlinear dynamics and chaos, are the authors of this monograph. Hardly can the effort they made in writing the book be understood,… read more here.
Keywords: science; field; study; physics ... See more keywords
Predictive Quantization and Symbolic Dynamics
Sign Up to like & getrecommendations! Published in 2022 at "Algorithms"
DOI: 10.3390/a15120484
Abstract: Capturing long-term statistics of signals and time series is important for modeling recurrent phenomena, especially when such recurrences are a-periodic and can be characterized by the approximate repetition of variable length motifs, such as patterns… read more here.
Keywords: quantization symbolic; time series; quantization; symbolic dynamics ... See more keywords
Reciprocating Compressor Multi-Fault Classification Using Symbolic Dynamics and Complex Correlation Measure
Sign Up to like & getrecommendations! Published in 2020 at "Applied Sciences"
DOI: 10.3390/app10072512
Abstract: Prognostics and Health Management technologies are useful for early fault detection and optimization of reliability in mechanical systems. Reciprocating compressors units are commonly used in industry for gas pressurization and transportation, and the valves in… read more here.
Keywords: complex correlation; fault; classification; reciprocating compressor ... See more keywords