Higher dimensional topology and generalized Hopf bifurcations for discrete dynamical systems
From MaRDI portal
Publication:2139511
DOI10.3934/dcds.2021204zbMath1500.37040arXiv2105.12464OpenAlexW3165540004MaRDI QIDQ2139511
Héctor Barge, Jose M. Rodriguez Sanjurjo
Publication date: 18 May 2022
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.12464
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Dynamical aspects of attractors and their bifurcations (37G35) Bifurcation theory for difference equations (39A28)
Related Items
Algorithms for computing basins of attraction associated with a rational self-map of the Hopf fibration based on Lyapunov exponents ⋮ Attractor bifurcation for positive solutions of evolution equations ⋮ The topology of dissipative systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the shape Conley index theory of semiflows on complete metric spaces
- Čech cohomology of attractors of discrete dynamical systems
- How strange can an attractor for a dynamical system in a 3-manifold look?
- Global attractors: Topology and finite-dimensional dynamics
- Dissipative flows, global attractors and shape theory
- Bifurcations, robustness and shape of attractors of discrete dynamical systems
- Global topological properties of the Hopf bifurcation
- On the nature of turbulence
- Arcs, balls and spheres that cannot be attractors in $\mathbb {R}^3$
- Every Attractor of a Flow on a Manifold has the Shape of a Finite Polyhedron
- Dynamical systems and shapes
- Connected Simple Systems and The Conley Index of Isolated Invariant Sets
- On the foundations of bifurcation theory
- Multihomotopy, Čech Spaces of loops and Shape Groups
- Dynamics of topologically generic homeomorphisms
- Shape and Morse theory of attractors
- Shift equivalence and the Conley index
- Local and global dynamic bifurcations of nonlinear evolution equations
- On invariant surfaces and bifurcation of periodic solutions of ordinary differential equations
- Concentricity in 3-Manifolds
