Visualizing curvature on the Lorenz manifold

DOI10.1080/17513470701503632zbMath1122.53001OpenAlexW2007024837WikidataQ114476380 ScholiaQ114476380MaRDI QIDQ3592364

Bernd Krauskopf, Hinke M. Osinga

Publication date: 12 September 2007

Published in: Journal of Mathematics and the Arts (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.97.1090

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Surfaces in Euclidean and related spaces (53A05) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (1)

Eigenvector visualization and art

Uses Software

• Geomview
• Symmetry in Chaos

Cites Work

• Unnamed Item
• Growing 1D and quasi-2D unstable manifolds of maps
• Smooth limits of piecewise-linear approximations
• Gradient and curvature approximation in data-dependent surface simplification
• Crocheting the Lorenz manifold
• On the curvature of piecewise flat spaces
• Global bifurcations of the Lorenz manifold
• Computing Geodesic Level Sets on Global (Un)stable Manifolds of Vector Fields
• The Lorenz manifold as a collection of geodesic level sets
• Two-dimensional global manifolds of vector fields
• Deterministic Nonperiodic Flow
• Chaos in Dynamical Systems
• A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS
• Critical Points and Curvature for Embedded Polyhedral Surfaces
• Crocheting the hyperbolic plane.

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