MULTIMODE TIME-MARKOV SYSTEMS: RECURSIVE TENSOR-BASED ANALYSIS, CHAOTIC GENERATION, LOCALLY LOOPING PROCESSES

DOI10.1142/S0218127406015234zbMath1103.60066OpenAlexW2002263276MaRDI QIDQ5484883

G. Setti, G. Mazzini, Riccardo Rovatti

Publication date: 21 August 2006

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

Full work available at URL: https://doi.org/10.1142/s0218127406015234

zbMATH Keywords

chaosMarkov process\(z\)-transform2D chaotic mapscycle sojourn timesdecaying distributionshierarchical model of complexitymixing different stochastic processestensor algebra modeltunable statistical process

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Cites Work

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• Statistics of chaotic binary sequences
• Tensor function analysis of quantized chaotic piecewise-affine pseudo-Markov systems. I. Second-order correlations and self similarity
• Tensor function analysis of quantized chaotic piecewise-affine pseudo-Markov systems. II. Higher order correlations and self-similarity
• Statistical Inference for Probabilistic Functions of Finite State Markov Chains

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