Singular PDEs and the problem of finding invariant manifolds for nonlinear dynamical systems

DOI10.1016/S0375-9601(00)00451-5zbMath1115.35316MaRDI QIDQ997675

Nikolaos Kazantzis

Publication date: 7 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

invariant manifoldsnonlinear dynamical systemssingular PDEsLyapunov's auxiliary theorem

Mathematics Subject Classification ID

Related Items (7)

A new model reduction method for nonlinear dynamical systems ⋮ Quasi-equilibrium grid algorithm: geometric construction for model reduction ⋮ Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations ⋮ Invariant sets of second order differential equations ⋮ Singular PDEs and the assignment of zero dynamics in nonlinear systems ⋮ Discussion on: ``Attenuation of oscillations in Galerkin systems using center-manifold techniques ⋮ Dual observer-based compensators for nonlinear systems

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Nonlinear observer design using Lyapunov's auxiliary theorem
• Finite-dimensional control of parabolic PDE systems using approximate inertial manifolds
• Stability, Instability and Chaos
• Applied Analysis of the Navier-Stokes Equations
• Tracking Invariant Manifolds up to Exponentially Small Errors
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