Homotopy, linearization, and bifurcation

DOI10.1016/0362-546X(88)90033-8zbMath0653.58028OpenAlexW2007419057MaRDI QIDQ3799380

Patrick M. Fitzpatrick

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90033-8

zbMATH Keywords

bifurcation via linearizationHopf bifurcation criterionmultiparameter bifurationrelations of homotopy and bifurcation

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Homotopy theory (55P99) Local and nonlocal bifurcation theory for dynamical systems (37G99) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

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