Elementary bifurcations of non-critical but non-hyperbolic invariant tori.

DOI10.1007/S10114-002-0213-7zbMath1047.34046OpenAlexW2318285117MaRDI QIDQ1566033

Jian-Hua Sun

Publication date: 25 September 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-002-0213-7

zbMATH Keywords

Lyapunov-Schmidt methodnonhyperbolic but noncritical invariant torisaddle-node and transcritical bifurcations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcations of periodic orbits, subharmonic solutions and invariant Tori of high-dimensional systems
• Elementary bifurcations of critical and nonhyperbolic invariant tori

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