Lorenz attractor through saddle-node bifurcations
From MaRDI portal
Publication:1924441
DOI10.1016/S0294-1449(16)30116-0zbMath0871.58061MaRDI QIDQ1924441
Publication date: 23 June 1997
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_1996__13_5_589_0
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (7)
Parameter-shifted shadowing property for geometric Lorenz attractors ⋮ On inclination-flip homoclinic orbit associated to a saddle-node singularity ⋮ Sinks and sources for \(C^1\) dynamics whose Lyapunov exponents have constant sign ⋮ Spiralling dynamics near heteroclinic networks ⋮ Singular strange attractors on the boundary of Morse-Smale systems ⋮ Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability ⋮ Singular strange attractors beyond the boundary of hyperbolic flows
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of parametrized families of gradient vector fields
- Structural stability of Lorenz attractors
- Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
- Abundance of strange attractors
- The explosion of singular cycles
- Strange attractors in saddle-node cycles: Prevalence and globality
- One-dimensional non-wandering sets
- Partially hyperbolic fixed points
- ON ATTAINABLE TRANSITIONS FROM MORSE-SMALE SYSTEMS TO SYSTEMS WITH MANY PERIODIC MOTIONS
- SOURCES AND SINKS OFA-DIFFEOMORPHISMS OF SURFACES
- Deterministic Nonperiodic Flow
- Differentiable dynamical systems
- Invariant manifolds
This page was built for publication: Lorenz attractor through saddle-node bifurcations