The Lorenz system does not have a polynomial flow-Reference-Cited by-同舟云学术

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The Lorenz system does not have a polynomial flow

Published:1989-12 Issue:2 Volume:82 Page:386-407
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Coomes Brian A

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference16 articles.

1. Optical Resonance and Two-Level Atoms;Allen,1975

2. Geometrical Methods in the Theory of Ordinary Differential Equations;Arnold,1983

3. Polynomial flows in the plane;Bass;Adv. in Math.,1985

4. Polynomial flows, symmetry groups, and conditions sufficient for injectivity of maps;Coomes,1988

5. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields;Guckenheimer,1983

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1. Limit Cycles from Perturbed Center on the Invariant Algebraic Surface of Unified Lorenz-Type System;International Journal of Bifurcation and Chaos;2023-11

2. Attractors and Lyapunov Functions;Emergence, Complexity and Computation;2020-07-02

3. Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion;The European Physical Journal Special Topics;2015-07

4. On differences and similarities in the analysis of Lorenz, Chen, and Lu systems;Applied Mathematics and Computation;2015-04

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