Intermittency as a codimension-three phenomenon

DOI10.1007/BF01048454zbMath0689.58029MaRDI QIDQ581903

Ian Melbourne

Publication date: 1989

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

zbMATH Keywords

periodic solutionsbifurcationHopf modules

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (9)

Robust heteroclinic cycles ⋮ Heteroclinic ratchets in networks of coupled oscillators ⋮ Asymptotic stability of heteroclinic cycles in systems with symmetry ⋮ Global generic dynamics close to symmetry ⋮ Resonant triad interactions in symmetric systems ⋮ Chaotic double cycling ⋮ Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry ⋮ BIFURCATIONS ANALYSIS OF POPULATION INVASION: ON–OFF INTERMITTENCY AND BASIN RIDDLING ⋮ Heteroclinic cycles in rings of coupled cells

Cites Work

• Singularities and groups in bifurcation theory. Volume I
• Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
• Symmetry breaking and the maximal isotropy subgroup conjecture for reflection groups
• Singularities of vector fields
• Convection in a rotating fluid layer
• Structural Stability of Equivariant Vector Fields on Two-Manifolds
• Structurally stable heteroclinic cycles
• The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance
• Hopf-Hopf mode interactions with O(2) symmetry
• Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry

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