A unified approach to finite-time hyperbolicity which extends finite-time Lyapunov exponents
From MaRDI portal
Publication:414823
DOI10.1016/j.jde.2012.02.002zbMath1251.37025OpenAlexW1972802210MaRDI QIDQ414823
Publication date: 11 May 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2012.02.002
Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Topological dynamics of nonautonomous systems (37B55) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)
Related Items (11)
Local stable and unstable manifolds and their control in nonautonomous finite-time flows ⋮ Determination of the area of exponential attraction in one-dimensional finite-time systems using meshless collocation ⋮ Hyperbolic neighbourhoods as organizers of finite-time exponential stretching ⋮ Finite-time attractivity for diagonally dominant systems with off-diagonal delays ⋮ Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations ⋮ On areas of attraction and repulsion in finite time dynamical systems and their numerical approximation ⋮ Dynamical spectrum in random dynamical systems ⋮ Tracking particles in flows near invariant manifolds via balance functions ⋮ A new method to prove the nonuniform dichotomy spectrum theorem in ℝⁿ ⋮ NONUNIFORM DICHOTOMY SPECTRUM INTERVALS: THEOREM AND COMPUTATION ⋮ Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite-time attractivity and bifurcation for nonautonomous differential equations
- A variational theory of hyperbolic Lagrangian coherent structures
- Existence of finite-time hyperbolic trajectories for planar Hamiltonian flows
- On finite-time hyperbolicity
- Nonautonomous finite-time dynamics
- On the concept of stationary Lyapunov basis
- Ergodic theory of differentiable dynamical systems
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- A spectral theory for linear differential systems
- A definition of spectrum for differential equations on finite time
- Transient spectral theory, stable and unstable cones and Gershgorins theorem for finite-time differential equations
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- HYPERBOLICITY AND INVARIANT MANIFOLDS FOR PLANAR NONAUTONOMOUS SYSTEMS ON FINITE TIME INTERVALS
- Lagrangian structures and the rate of strain in a partition of two-dimensional turbulence
- A Remark on Finite‐Time Hyperbolicity
- An objective definition of a vortex
- Lagrangian coherent structures and the smallest finite-time Lyapunov exponent
- Distinguished material surfaces and coherent structures in three-dimensional fluid flows
- Dichotomy spectrum for nonautonomous differential equations
This page was built for publication: A unified approach to finite-time hyperbolicity which extends finite-time Lyapunov exponents