Hopf bifurcation for fully nonlinear equations in Banach space
From MaRDI portal
Publication:1086735
DOI10.1016/S0294-1449(16)30382-1zbMath0609.34066MaRDI QIDQ1086735
Alessandra Lunardi, Giuseppe Da Prato
Publication date: 1986
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_1986__3_4_315_0
Periodic solutions to ordinary differential equations (34C25) Nonlinear differential equations in abstract spaces (34G20) Bifurcations in context of PDEs (35B32)
Related Items
Invariant manifolds and bifurcation for quasilinear reaction-diffusion systems, Stability of travelling waves with interface conditions, Hopf bifurcation in diffusive model of nonlinear optical system with matrix Fourier filtering, Hopf bifurcation for a maturity structured population dynamic model, On some properties of elliptic and parabolic functional differential operators arising in nonlinear optics, Hopf bifurcation in a size-structured population dynamic model with random growth
Cites Work
- Unnamed Item
- Unnamed Item
- On the abstract Cauchy problem of parabolic type in spaces of continuous functions
- Attractivity and Hopf bifurcation in Banach spaces
- Geometric theory of semilinear parabolic equations
- Sommes d'opérateurs linéaires et équations différentielles opérationnelles
- 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
- The Hopf bifurcation theorem in infinite dimensions
- Hopf bifurcation at multiple eigenvalues
- Smoothness of bounded solutions of nonlinear evolution equations
- On a class of interpolation spaces
- Transformation groups and bifurcation at multiple eigenvalues
- Periodic solution of nonlinear parabolic equations
- Generalized Hopf bifurcation in Hilbert space
