The Lorenz Attractor, a Paradigm for Chaos
From MaRDI portal
Publication:5265019
DOI10.1007/978-3-0348-0697-8_1zbMath1355.37055OpenAlexW121028845MaRDI QIDQ5265019
Publication date: 21 July 2015
Published in: Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0697-8_1
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) History of dynamical systems and ergodic theory (37-03)
Related Items (3)
On the zeroes of the Alexander polynomial of a Lorenz knot ⋮ The dynamics of vector fields with singularities ⋮ Combinatorial vs. classical dynamics: recurrence
Cites Work
- Structural stability on two-dimensional manifolds
- The Lorenz attractor is mixing
- Right-handed vector fields and the Lorenz attractor
- Structural stability of Lorenz attractors
- The structure of Lorenz attractors
- The ergodic theory of axiom A flows
- Finding a horseshoe on the beaches of Rio
- Three remarks on geodesic dynamics and fundamental group
- What are SRB measures, and which dynamical systems have them?
- Homoclinic bifurcations and uniform hyperbolicity for three-dimensional flows.
- Mathematical problems for the next century
- A rigorous ODE solver and Smale's 14th problem
- Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers
- The Lorenz equations: bifurcations, chaos, and strange attractors
- Knotted periodic orbits in dynamical systems. I: Lorenz's equations
- An ergodic closing lemma
- Writing the history of dynamical systems and chaos: `Longue durée' and revolution, disciplines and cultures
- Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
- Dynamical properties of singular-hyperbolic attractors
- A global perspective for non-conservative dynamics
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- On the nature of turbulence
- Beyond hyperbolicity
- Branched two-manifolds supporting all links
- Lorenz-like flows: exponential decay of correlations for the Poincaré map, logarithm law, quantitative recurrence
- A new twist on Lorenz links
- Singular-hyperbolic attractors are chaotic
- Lorenz knots are prime
- Dynamical systems with generalized hyperbolic attractors: hyperbolic, ergodic and topological properties
- A Measure Associated with Axiom-A Attractors
- Deterministic Nonperiodic Flow
- Plykin-type attractor in nonautonomous coupled oscillators
- Central limit theorems and invariance principles for Lorenz attractors
- Open questions leading to a global perspective in dynamics
- Structurally Stable Systems are not Dense
- Differentiable dynamical systems
- GIBBS MEASURES IN ERGODIC THEORY
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- What's new on Lorenz strange attractors?
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The Lorenz Attractor, a Paradigm for Chaos
