Sparse Recovery and Dictionary Learning to Identify the Nonlinear Dynamical Systems: One Step Toward Finding Bifurcation Points in Real Systems

DOI10.1142/S0218127419500305zbMath1411.93054OpenAlexW2926963824WikidataQ128144748 ScholiaQ128144748MaRDI QIDQ4631662

Aboozar Ghaffari, Fahimeh Nazarimehr, Seyed Mohammad Reza Hashemi Golpayegani, Sajad Jafari

Publication date: 18 April 2019

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

Full work available at URL: https://doi.org/10.1142/s0218127419500305

zbMATH Keywords

bifurcation pointsdictionary learningsparse codinggoverning equation

Mathematics Subject Classification ID

System identification (93B30) Bifurcation theory for ordinary differential equations (34C23) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (4)

Studying the performance of critical slowing down indicators in a biological system with a period-doubling route to chaos ⋮ Indicating the synchronization bifurcation points using the early warning signals in two case studies: continuous and explosive synchronization ⋮ Sparse identification of dynamical systems by reweighted \(l_1\)-regularized least absolute deviation regression ⋮ A New Imprisoned Strange Attractor

Uses Software

• DMC
• PDCO

Cites Work

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