Symplectic transformations and a reduction method for asymptotically linear Hamiltonian systems

DOI10.1007/s10440-008-9400-6zbMath1233.37031OpenAlexW2001021669MaRDI QIDQ973825

Rong Cheng

Publication date: 26 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9400-6

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

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Multiple periodic solutions for non-canonical Hamiltonian systems with application to differential delay equations ⋮ Oscillatory periodic solutions for two differential-difference equations arising in applications ⋮ Existence results of periodic solutions for non-autonomous differential delay equations with asymptotically linear properties

Cites Work

• Morse theory and asymptotic linear Hamiltonian system
• Maslov-type index, degenerate critical points, and asymptotically linear Hamiltonian systems
• Nontrivial periodic solutions for the asymptotically linear Hamiltonian systems with resonance at infinity
• Existence of nontrivial periodic solutions for a class of resonance Hamiltonian systems
• Nontrivial periodic solutions for strong resonance Hamiltonian systems
• Maslov-type index and periodic solution of asymptotically linear Hamiltonian systems which are resonant at infinity
• Morse theory for asymptotically linear Hamiltonian systems
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Periodic solutions of asymptotically linear Hamiltonian systems
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
• Infinite dimensional cohomology groups and periodic solutions of asymptotically linear Hamiltonian systems
• Nontrivial periodic solutions for asymptotically linear Hamiltonian systems with resonance

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