Lipschitz invariant tori of indefinite-monotone systems

DOI10.1007/s11253-012-0655-8zbMath1267.37063OpenAlexW2046392945MaRDI QIDQ1928466

V. A. Lahoda, I. O. Parasyuk, A. M. Samoilenko

Publication date: 3 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0655-8

zbMATH Keywords

invariant tori

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Theorem on the existence of an invariant section over \(\mathbb R^m\) for the indefinite monotone system in \(\mathbb R^m\times\mathbb R^n\)

Cites Work

• Existence of an invariant torus for a class of systems of differential equations
• Stable and conditionally stable almost-periodic solutions of V-monotone systems
• On the existence of an invariant torus for an essentially nonlinear system of differential equations
• Wa\'zewski Topological Principle and V-bounded Solutions of Nonlinear Systems
• Some modern aspects of the theory of impulsive differential equations
• Perturbation theory of smooth invariant tori of dynamical systems
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