Nonhyperbolic persistent attractors near the Morse-Smale boundary.

DOI10.1016/S0294-1449(03)00015-5zbMath1185.37041OpenAlexW1988267748MaRDI QIDQ1406894

Jaime A. Vera Valenzuela, Eduardo M. Muñoz Morales, Bernardo San Martín Rebolledo

Publication date: 7 September 2003

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2003__20_5_867_0

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Generic properties, structural stability of dynamical systems (37C20) Dynamical aspects of attractors and their bifurcations (37G35) Morse-Smale systems (37D15)

Related Items (4)

Contracting singular horseshoe ⋮ Nonhyperbolic persistent attractors near the Morse-Smale boundary. ⋮ One-dimensional contracting singular horseshoe ⋮ The Rovella attractor is asymptotically sectional-hyperbolic

Cites Work

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• The dynamics of the Hénon map
• On iterations of \(1-\alpha x^2\) on \((-1,1)\)
• Stability of singular horseshoes
• Sensitive dependence to initial conditions for one dimensional maps
• On the abundance of aperiodic behaviour for maps on the interval
• Contracting singular cycles
• Abundance of strange attractors
• The explosion of singular cycles
• Nonhyperbolic persistent attractors near the Morse-Smale boundary.
• On Morse-Smale dynamical systems
• The dynamics of perturbations of the contracting Lorenz attractor
• Unfolding contracting singular cycles
• Bifurcation of contracting singular cycles

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