New bifurcation theorems via the second-order optimality conditions

DOI10.1016/j.jmaa.2009.06.037zbMath1168.47050OpenAlexW1988618344MaRDI QIDQ837615

Aram V. Arutyunov, Alexey F. Izmailov, Vladimir Jacimovic

Publication date: 20 August 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.037

zbMATH Keywords

constrained optimizationbifurcationsecond-order optimality conditionsconstant solution2-normalityparametric nonlinear equation

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Abstract bifurcation theory involving nonlinear operators (47J15) Optimality conditions for problems in abstract spaces (49K27)

Related Items (4)

Directional Control of Bifurcation into Targeted Trajectory ⋮ Extended Hopf bifurcation for abstract integral equations at resonant eigenvalue ⋮ Abstract Hopf bifurcation theorem and further extensions via second variation ⋮ Abstract Bifurcation Theorems and Applications to Dynamical Systems with Resonant Eigenvalues

Cites Work

• On the consistency of quadratic and bilinear systems
• Applications of the blowing-up construction and algebraic geometry to bifurcation problems
• 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
• Bifurcation theorems via the 2-regularity theory
• Bifurcation from simple eigenvalues
• Abnormal extremal problems and optimality conditions
• On the Andronov-Hopf bifurcation theorem
• Bifurcation theorems via second-order optimality conditions
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