scientific article; zbMATH DE number 802734
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Publication:4849849
zbMath0922.58057MaRDI QIDQ4849849
Publication date: 31 August 1999
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homoclinic orbitsFroude numberunfoldingsreversible vector fieldswater-wave problemcodimension 2 singularitybond numberreversible normal forms
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Normal forms for dynamical systems (37G05) Local and nonlocal bifurcation theory for dynamical systems (37G99)
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Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two ⋮ Global dynamics of parametrically excited nonlinear reversible systems with nonsemisimple 1:1 resonance ⋮ Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation ⋮ Normal forms ⋮ A transverse spinning double pendulum ⋮ Singularities on the boundary of the stability domain near 1:1-resonance ⋮ Normal form for travelling kinks in discrete Klein-Gordon lattices ⋮ Polynomial normal forms with exponentially small remainder for analytic vector fields ⋮ Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics ⋮ Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods ⋮ Quasi-periodic stability of normally resonant tori ⋮ Solitary waves of a coupled Korteweg-de Vries system
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