Expanding Lorenz Attractors through Resonant Double Homoclinic Loops

DOI10.1137/S0036141002415785zbMath1093.37022OpenAlexW2045302164MaRDI QIDQ5317409

Bernardo San Martín Rebolledo, Maria Jose Pacifico, Carlos A. Morales

Publication date: 16 September 2005

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141002415785

zbMATH Keywords

rescaling techniquesLorenz attractorsresonant double homoclinic loops

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Dynamical systems with hyperbolic behavior (37D99)

Related Items (9)

Lorenz attractors in unfoldings of homoclinic-flip bifurcations ⋮ On the statistical stability of families of attracting sets and the contracting Lorenz attractor ⋮ The twisting bifurcations of double homoclinic loops with resonant eigenvalues ⋮ Unnamed Item ⋮ Multidimensional Rovella-like attractors ⋮ Codimension 3 nontwisted double homoclinic loops bifurcations with resonant eigenvalues ⋮ Persistent heterodimensional cycles in periodic perturbations of Lorenz-like attractors ⋮ Singular-hyperbolic attractors are chaotic ⋮ Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability

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