Global topological properties of the Hopf bifurcation

DOI10.1016/j.jde.2007.05.001zbMath1126.37036OpenAlexW2053916476MaRDI QIDQ2464469

Jose M. Rodriguez Sanjurjo

Publication date: 21 December 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.05.001

zbMATH Keywords

Lorenz equationsConley indexLorenz attractorcohomological indexMorse equations

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Index theory for dynamical systems, Morse-Conley indices (37B30) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (14)

Higher dimensional topology and generalized Hopf bifurcations for discrete dynamical systems ⋮ Attractor bifurcation for positive solutions of evolution equations ⋮ The topology of dissipative systems ⋮ On the fine structure of the global attractor of a uniformly persistent flow ⋮ Dynamic Bifurcation from Infinity of Nonlinear Evolution Equations ⋮ Uniform persistence and Hopf bifurcations in \(\mathbb R_+^n\) ⋮ A Conley index study of the evolution of the Lorenz strange set ⋮ Bifurcation from infinity of the Schrödinger equation via invariant manifolds ⋮ Global dynamic bifurcation of local semiflows and nonlinear evolution equations ⋮ Bifurcations and attractor-repeller splittings of non-saddle sets ⋮ Unstable manifold, Conley index and fixed points of flows ⋮ Local and global dynamic bifurcations of nonlinear evolution equations ⋮ Dissonant points and the region of influence of non-saddle sets ⋮ Bifurcations, robustness and shape of attractors of discrete dynamical systems

Uses Software

• RODES

Cites Work

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