On some constructions of regular linear extensions of dynamical systems on a torus

DOI10.1007/S10958-024-06982-9MaRDI QIDQ6197765

N. V. Stepanenko, H. M. Kulyk, V. L. Kulyk

Publication date: 19 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems on manifolds (34C40)

Cites Work

• Theorem on the existence of an invariant section over \(\mathbb R^m\) for the indefinite monotone system in \(\mathbb R^m\times\mathbb R^n\)
• Approximations of continuous periodic functions that are differentiable along the trajectories of dynamical systems
• Relationship between the Green and Lyapunov functions in linear extensions of dynamical systems
• Alternating Lyapunov functions in the theory of linear extensions of dynamical systems on a torus
• PRESERVATION OF AN INVARIANT TORUS UNDER PERTURBATION
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