Reconstructing bifurcation diagrams only from time-waveforms

DOI10.1016/S0167-2789(05)80014-4zbMath0888.58044OpenAlexW4234967791MaRDI QIDQ1341021

Shihoko Kajiwara, Ryuji Tokunaga, Takashi Matsumoto

Publication date: 21 December 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(05)80014-4

zbMATH Keywords

algorithmbifurcation diagramsHénon familycoupled logistic/delayed-logistic familytime-waveforms

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Local and nonlocal bifurcation theory for dynamical systems (37G99) Software, source code, etc. for problems pertaining to global analysis (58-04)

Related Items (5)

Recognizing chaotic time-waveforms in terms of a parametrized family of nonlinear predictors ⋮ Detecting switch dynamics in chaotic time-waveform using a parametrized family of nonlinear predictors ⋮ Time series-based bifurcation diagram reconstruction ⋮ Reconstructing bifurcation diagrams only from time-series data generated by electronic circuits in discrete-time dynamical systems ⋮ Generalized one-parameter bifurcation diagram reconstruction using time series

Cites Work

• A two-dimensional mapping with a strange attractor
• Nonlinear prediction of chaotic time series
• Multilayer feedforward networks are universal approximators
• Approximation by superpositions of a sigmoidal function
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