Equivalence of MTS and CMR methods associated with the normal form of Hopf bifurcation for delayed reaction-diffusion equations

DOI10.1016/J.CNSNS.2022.106976OpenAlexW4307727250WikidataQ121437450 ScholiaQ121437450MaRDI QIDQ2108731

Liyuan Zheng, Yuting Ding, Gaoyang Liu

Publication date: 20 December 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106976

zbMATH Keywords

Hopf bifurcationnormal formcenter manifold reduction (CMR)multiple time scales (MTS)

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Spatiotemporal chaos in spatially extended fractional dynamical systems

Uses Software

• Amp_solving

Cites Work

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