Lorenz attractors in unfoldings of homoclinic-flip bifurcations

DOI10.1080/14689367.2010.503186zbMath1268.37023OpenAlexW1983099865MaRDI QIDQ3168712

Ali Golmakani, Ale Jan Homburg

Publication date: 19 April 2011

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2010.503186

zbMATH Keywords

bifurcationsorbit fliphomoclinic loopLorenz attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Bifurcation theory for ordinary differential equations (34C23) Dynamics induced by flows and semiflows (37C10)

Related Items (12)

Bifurcations Near the Weak Type Heterodimensional Cycle ⋮ Homoclinic flip bifurcation with a nonhyperbolic equilibrium ⋮ Nongeneric bifurcations near a nontransversal heterodimensional cycle ⋮ Heterodimensional cycle bifurcation with two orbit flips ⋮ Bifurcations of Double Homoclinic Loops in Reversible Systems ⋮ BIFURCATION OF ROUGH HETEROCLINIC LOOP WITH ORBIT FLIPS ⋮ Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps ⋮ Saddle Invariant Objects and Their Global Manifolds in a Neighborhood of a Homoclinic Flip Bifurcation of Case B ⋮ Wild pseudohyperbolic attractor in a four-dimensional Lorenz system ⋮ Entropy charts and bifurcations for Lorenz maps with infinite derivatives ⋮ DEGENERATE BIFURCATIONS OF HETERODIMENSIONAL CYCLES WITH ORBIT FLIP ⋮ Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in \(\mathbb{R}^4 \)

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