Generalized one-parameter bifurcation diagram reconstruction using time series

DOI10.1016/S0167-2789(98)00200-0zbMath0988.37095OpenAlexW2076123670WikidataQ126572519 ScholiaQ126572519MaRDI QIDQ1809430

Yanyan Li

Publication date: 14 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00200-0

zbMATH Keywords

time seriesHopf bifurcationLorenz equationsbifurcation diagramsprincipal curvesFritzHugh-Nagumo equationsnonlinear predictor functions

Mathematics Subject Classification ID

Time series analysis of dynamical systems (37M10) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Series-NonUniform Rational B-Spline (S-NURBS) model: A geometrical interpolation framework for chaotic data ⋮ Time series-based bifurcation diagram reconstruction ⋮ Modeling nonlinear dynamics and chaos: a review

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear prediction of chaotic time series
• Reconstructing bifurcation diagrams only from time-waveforms
• Multilayer feedforward networks are universal approximators
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Recognizing chaotic time-waveforms in terms of a parametrized family of nonlinear predictors
• The Role of the Likelihood Function in the Estimation of Chaos Models
• Robust Locally Weighted Regression and Smoothing Scatterplots
• Deterministic Nonperiodic Flow
• Principal Curves

This page was built for publication: Generalized one-parameter bifurcation diagram reconstruction using time series