Shadowing in structurally stable flows
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Publication:1377531
DOI10.1006/JDEQ.1997.3295zbMath0965.37024OpenAlexW2118019642MaRDI QIDQ1377531
Publication date: 7 August 2001
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1997.3295
Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)
Related Items (29)
Weak stability of non-autonomous discrete dynamical systems ⋮ \(C^{0}\) transversality and shadowing properties ⋮ Vector fields with the oriented shadowing property ⋮ Structural stability of vector fields with shadowing ⋮ Oriented and orbital shadowing for vector fields ⋮ Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos ⋮ Theory of pseudo-orbit shadowing in dynamical systems ⋮ Shadowing, topological entropy and recurrence of induced Morse-Smale diffeomorphism ⋮ Backpropagation in hyperbolic chaos via adjoint shadowing ⋮ Quasi-shadowing for partially hyperbolic flows with a local product structure ⋮ Weak shadowing property for flows on oriented surfaces ⋮ Lipschitz shadowing and structural stability of flows ⋮ Hyperbolicity, shadowing directions and sensitivity analysis of a turbulent three-dimensional flow ⋮ Adjoint sensitivity analysis on chaotic dynamical systems by non-intrusive least squares adjoint shadowing (NILSAS) ⋮ Quasi-shadowing for partially hyperbolic flows ⋮ Orbital shadowing and stability for vector fields ⋮ Orbital shadowing for 3-flows ⋮ Approximating Linear Response by Nonintrusive Shadowing Algorithms ⋮ On specification and measure expansiveness ⋮ Inverse shadowing for structurally stable flows ⋮ Qualitative property between flows and numerical methods ⋮ Invariant properties of limit shadowing ⋮ Shadowing and inverse shadowing for \(C^1\) endomorphisms ⋮ Interiors of sets of vector fields with shadowing corresponding to certain classes of reparameterizations ⋮ An example of a vector field with the oriented shadowing property ⋮ Generalizations of the notion of hyperbolicity ⋮ Shadowing for nonautonomous dynamics ⋮ Sets of vector fields with various shadowing properties of pseudotrajectories ⋮ Oriented shadowing property and \(\Omega\)-stability for vector fields
Cites Work
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- Stability theorems and hyperbolicity in dynamical systems
- The space of dynamical systems with the \(C^ 0\)-topology
- On the \(C^ 1\) stability conjecture for flows
- Structural stability of vector fields
- A Shadowing Lemma with Applications to Semilinear Parabolic Equations
- Extended f-orbits are approximated by orbits
- Differentiable dynamical systems
- Periodic Orbits for Hyperbolic Flows
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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