Bifurcation and Stability at Finite and Infinite Degrees of Freedom

DOI10.1007/978-3-319-42408-8_1zbMath1397.37086OpenAlexW2519759425MaRDI QIDQ4687441

Péter B. Béda

Publication date: 11 October 2018

Published in: Dynamical Systems: Theoretical and Experimental Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-42408-8_1

zbMATH Keywords

Hopf bifurcationcenter manifoldbifurcation equationstatic bifurcationconjugate complex eigenvalue

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (1)

Dynamical systems and stability in fractional solid mechanics

Cites Work

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• Singularities and groups in bifurcation theory. Volume I
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• On the eigenvalues of the fourth-order constitutive tensor and loss of strong ellipticity in elastoplasticity

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