Attractor bifurcation for positive solutions of evolution equations

DOI10.1016/j.topol.2023.108587zbMath1528.37064OpenAlexW4376636204WikidataQ123165228 ScholiaQ123165228MaRDI QIDQ6053451

Mo Jia, De-Sheng Li, Jinlong Bai, Yu-Xiang Zhang

Publication date: 27 September 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108587

zbMATH Keywords

evolution equationpositive solutionattractor bifurcation

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) General biology and biomathematics (92B05)

Related Items (1)

A note on the Krein–Rutman theorem for sectorial operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The homotopy index and partial differential equations
• Geometric theory of semilinear parabolic equations
• 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 theory. An introduction with applications of PDEs
• Attractor bifurcation theory and its applications to Rayleigh-Bénard convection
• On dynamical properties of general dynamical systems and differential inclusions
• Bifurcating continua in infinite dimensional dynamical systems and applications to differential equations
• Perron-Frobenius and Krein-Rutman theorems for tangentially positive operators
• On the Morse theory of attractors: a functional approach
• Global dynamic bifurcation of local semiflows and nonlinear evolution equations
• Higher dimensional topology and generalized Hopf bifurcations for discrete dynamical systems
• Global topological properties of the Hopf bifurcation
• An overview of semi-continuity results on the spectral radius and positivity
• Robustness of asymptotic stability to small time delays
• Shape and Morse theory of attractors
• Local and global dynamic bifurcations of nonlinear evolution equations

This page was built for publication: Attractor bifurcation for positive solutions of evolution equations