Nonsymmetric Lorenz Attractors from a Homoclinic Bifurcation

DOI10.1137/S0036141098343598zbMath0978.37013OpenAlexW1997746000MaRDI QIDQ4509946

Clark Robinson

Publication date: 19 October 2000

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

Full work available at URL: https://doi.org/10.1137/s0036141098343598

zbMATH Keywords

Lorenz systemresonancehomoclinic bifurcationPoincaré mapunfoldingtopologically transitive weak attractor

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Dynamical aspects of attractors and their bifurcations (37G35) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (11)

Lorenz attractors in unfoldings of homoclinic-flip bifurcations ⋮ On the statistical stability of families of attracting sets and the contracting Lorenz attractor ⋮ Homoclinic flip bifurcation with a nonhyperbolic equilibrium ⋮ Homoclinic flip bifurcations accompanied by transcritical bifurcation ⋮ Multidimensional Rovella-like attractors ⋮ The Jacobi Stability of a Lorenz-Type Multistable Hyperchaotic System with a Curve of Equilibria ⋮ A new Lorenz-type hyperchaotic system with a curve of equilibria ⋮ The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system ⋮ The existence of homoclinic orbits in the Lorenz system via the undetermined coefficient method ⋮ Zero‐zero‐Hopf bifurcation and ultimate bound estimation of a generalized Lorenz–Stenflo hyperchaotic system ⋮ Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability

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