Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model

DOI10.1088/1361-6544/30/1/115zbMath1367.34051arXiv1508.07565OpenAlexW2962842733MaRDI QIDQ2958635

Dmitry V. Turaev, Ivan I. Ovsyannikov

Publication date: 3 February 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07565

zbMATH Keywords

Lorenz attractorHenon mapseparatrix valuehomoclinic butterfly

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Uses Software

• RODES

Cites Work

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