Paths of real roots for odd-degree polynomials with parameters

DOI10.1155/2020/4729872zbMath1474.26053OpenAlexW3101124285MaRDI QIDQ2657225

Junxiang Xu

Publication date: 12 March 2021

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/4729872

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Real polynomials: location of zeros (26C10) Real polynomials: analytic properties, etc. (26C05) Dynamical systems over complex numbers (37F99)

Cites Work

• Unnamed Item
• Unnamed Item
• On small perturbation of two-dimensional quasi-periodic systems with hyperbolic-type degenerate equilibrium point
• Umbilical torus bifurcations in Hamiltonian systems
• The Malgrange-Mather division theorem
• Choosing roots of polynomials smoothly
• A KAM theorem for hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems
• Leray-Schauder continuation theorems in the absence of a priori bounds
• Weierstrass-Malgrange preparation theorem in the finitely smooth case
• Une demonstration du théorème de division pour les fonctions différentiables
• Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems
• Bifurcations of normally parabolic tori in Hamiltonian systems

This page was built for publication: Paths of real roots for odd-degree polynomials with parameters