Torus bifurcations in a mechanical system

DOI10.1007/s10884-013-9339-9zbMath1382.70023OpenAlexW2051651497MaRDI QIDQ282343

Ferdinand Verhulst, Yuri A. Kuznetsov, Taoufik Bakri

Publication date: 12 May 2016

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-013-9339-9

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Parametric resonances for nonlinear problems in mechanics (70K28) Normal forms for nonlinear problems in mechanics (70K45)

Related Items (4)

Dissecting a resonance wedge on heteroclinic bifurcations ⋮ Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation ⋮ Computer assisted proofs of two-dimensional attracting invariant tori for ODEs ⋮ Degenerate Chenciner Bifurcation Revisited

Uses Software

• MATCONT
• AUTO
• Torcont

Cites Work

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