Invariant Lagrange submanifolds of dissipative systems
A. Agrachev
TL;DR
This paper investigates invariant Lagrange submanifolds within dissipative systems by analyzing solutions to modified Hamilton-Jacobi equations on compact manifolds.
Contribution
It introduces a novel approach to understanding invariant structures in dissipative systems through modified Hamilton-Jacobi equations.
Findings
Identification of conditions for invariance of Lagrange submanifolds
Existence results for solutions to the modified Hamilton-Jacobi equations
Insights into the stability properties of these solutions
Abstract
We study solutions of modified Hamilton-Jacobi equations H(du/dq,q) + cu(q) = 0, q \in M, on a compact manifold M .
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology