Dynamics of numerical approximations

DOI10.1016/S0096-3003(97)81644-XzbMath0911.65063OpenAlexW2004749554MaRDI QIDQ1126623

Jack K. Hale

Publication date: 22 April 1999

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(97)81644-x

zbMATH Keywords

periodic orbitsinvariant setdynamical systemsstructural stabilityflownumerical approximationinvariant torigradient systems

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical systems and ergodic theory (37-XX)

Related Items (1)

Perturbation of a globally stable steady state and uniform persistence

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lower semicontinuity of attractors of gradient systems and applications
• Geometric theory of semilinear parabolic equations
• On the discretization of a partial differential equation in the neighborhood of a periodic orbit
• Reaction-diffusion equation on thin domains
• Nonlinear autonomous oscillations. Analytical theory
• On Morse-Smale dynamical systems
• Upper Semicontinuity of Attractors for Approximations of Semigroups and Partial Differential Equations
• On the qualitative behavior of the orbits of a parabolic partial differential equation and its discretization in the neighborhood of a hyperbolic fixed point
• Discretization of homoclinic orbits, rapid forcing and “invisible” chaos
• On the Stable Manifold Theorem
• Invariant manifolds

This page was built for publication: Dynamics of numerical approximations