Chaotic characteristics analysis of the sintering process system with unknown dynamic functions based on phase space reconstruction and chaotic invariables

DOI10.1007/s11071-018-4200-7zbMath1398.37087OpenAlexW2793797661MaRDI QIDQ1798831

Yuebing Xu, Xiaogang Zhang, Bowang Dai, Hua Chen, Mingyang Lv

Publication date: 23 October 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-018-4200-7

zbMATH Keywords

phase space reconstructionrotary kilnchaotic dynamic characteristicchaotic invariablesintering temperature time series prediction

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear static and dynamic analysis of hyper-elastic thin shells via the absolute nodal coordinate formulation
• Chaos control, spiral wave formation, and the emergence of spatiotemporal chaos in networked Chua circuits
• Testing the null hypothesis of stationarity against the alternative of a unit root. How sure are we that economic time series have a unit root?
• Chaos: concepts, control and constructive use
• Determining Lyapunov exponents from a time series
• Measuring the strangeness of strange attractors
• Estimating the errors on measured entropy and mutual information
• A practical method for calculating largest Lyapunov exponents from small data sets
• Reconstruction of one-dimensional chaotic maps from sequences of probability density functions
• Independent coordinates for strange attractors from mutual information
• Ergodic theory of chaos and strange attractors