Identification of Chaos-Periodic Transitions, Band Merging, and Internal Crisis Using Wavelet-DFA Method

DOI10.1142/S0218127416500656zbMath1338.37123MaRDI QIDQ2814182

Seyed Mohammad Reza Hashemi Golpayegani, Mahsa Vaghefi, Mohammadreza Mohammadi, Shahriar Gharibzadeh, Ali Motie Nasrabadi

Publication date: 20 June 2016

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

zbMATH Keywords

self-similarityband mergingchaos-periodic transitionsinternal crisiswavelet-DFA

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) System identification (93B30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10)

Cites Work

• Characterization of self-similar multifractals with wavelet maxima
• Optimal fractal-scaling analysis of human EEG dynamic for depth of anesthesia quantification
• Estimation of Time-Varying Long Memory Parameter Using Wavelet Method
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