Localization of compact invariant sets of the Lorenz system
- 8 May 2006
- journal article
- research article
- Published by Elsevier BV in Physics Letters A
- Vol. 353 (5), 383-388
- https://doi.org/10.1016/j.physleta.2005.12.104
Abstract
No abstract availableThis publication has 12 references indexed in Scilit:
- Localization of periodic orbits of polynomial systems by ellipsoidal estimatesChaos, Solitons, and Fractals, 2005
- Estimating the bounds for the Lorenz family of chaotic systemsChaos, Solitons, and Fractals, 2005
- Bounds on the dissipation in the Lorenz systemPhysics Letters A, 2004
- An ultimate bound on the trajectories of the Lorenz system and its applicationsNonlinearity, 2003
- Bounds for trajectories of the Lorenz equations: an illustration of how to choose Liapunov functionsPhysics Letters A, 2001
- Bounds for attractors and the existence of homoclinic orbits in the lorenz systemJournal of Applied Mathematics and Mechanics, 2001
- Shape of attractors for three-dimensional dissipative dynamical systemsPhysical Review E, 2000
- On the shape and dimension of the Lorenz attractorDynamics and Stability of Systems, 1995
- Attraktorlokalisierung des Lorenz‐SystemsZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1987
- Deterministic Nonperiodic FlowJournal of the Atmospheric Sciences, 1963