Quantitative estimates on the normal form around a non-semi-simple 1:−1 resonant periodic orbit

DOI10.1088/0951-7715/18/3/012zbMath1088.34034OpenAlexW2151329876MaRDI QIDQ3025239

Juan R. Pacha, Jordi Villanueva, Merce Olle

Publication date: 13 July 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/18/3/012

zbMATH Keywords

Hamiltoniannormal formperiodic orbitresonance

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (2)

THE STRUCTURE AND EVOLUTION OF CONFINED TORI NEAR A HAMILTONIAN HOPF BIFURCATION ⋮ Hopf bifurcation for the hydrogen atom in a circularly polarized microwave field

This page was built for publication: Quantitative estimates on the normal form around a non-semi-simple 1:−1 resonant periodic orbit