On the global structure of invariant regions of flows with asymptotically stable attractors
From MaRDI portal
Publication:1961441
DOI10.1007/PL00004781zbMath0942.37052OpenAlexW1969641272MaRDI QIDQ1961441
Antonio Giraldo, Jose M. Rodriguez Sanjurjo
Publication date: 17 January 2000
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/pl00004781
continuous dynamical systemscontractible manifoldpositively invariant regionsasymptotically stable global attractor
Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Shape theory in general topology (54C56) Shape theory (55P55)
Related Items
Morse-Smale equations of non-saddle decompositions, Attractors and symmetries of vector fields: the inverse problem, Global attractors of analytic plane flows, Pointed shape and global attractors for metrizable spaces, A dynamical approach to shape, On the fine structure of the global attractor of a uniformly persistent flow, Shape and Conley Index of Attractors and Isolated Invariant Sets, Uniform persistence and Hopf bifurcations in \(\mathbb R_+^n\), Intrinsic Shape Property of Global Attractors in Metrizable Spaces, Global topological properties of the Hopf bifurcation, Unstable manifold, Conley index and fixed points of flows, Shape of global attractors in topological spaces, On the topology of the boundary of a basin of attraction, \(\varepsilon \)-connectedness, finite approximations, shape theory and coarse graining in hyperspaces, Bifurcations, robustness and shape of attractors of discrete dynamical systems, Topological robustness of non-saddle sets, Semiflows and intrinsic shape in topological spaces
