Resonant heteroclinic cycles and singular hyperbolic attractors in models for skewed varicose instability

DOI10.1088/0951-7715/18/1/009zbMath1080.34019OpenAlexW2156127437MaRDI QIDQ4655101

Nguyen Huu Khanh, Ale Jan Homburg

Publication date: 10 March 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9abec4163c756e6991d2b42dc47321dca3c4da77

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical systems approach to turbulence (76F20) Attractors of solutions to ordinary differential equations (34D45) Dynamical aspects of attractors and their bifurcations (37G35) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Infinite nonwandering sets arising in bifurcations of dynamical systems (37G30) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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Lorenz attractors in unfoldings of homoclinic-flip bifurcations ⋮ Robust unbounded attractors for differential equations in \(\mathbb R^3\) ⋮ Global bifurcations to strange attractors in a model for skew varicose instability in thermal convection

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