On existence of Lorenz-like attractors in a nonholonomic model of Celtic stones

MaRDI QIDQ6655567

A. S. Gonchenko, S. V. Gonchenko

Publication date: 27 December 2024

Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)

zbMATH Keywords

chaotic dynamicsLorenz attractorCeltic stonenonholonomic modelLorenz-like attractor for diffeomorphisms

Mathematics Subject Classification ID

Dynamical systems in solid mechanics (37N15) Dynamical aspects of attractors and their bifurcations (37G35) Nonholonomic dynamical systems (37J60)

Cites Work

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• Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps
• Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation
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• The Lorenz attractor exists
• BIFURCATION PHENOMENA IN THE 1:1 RESONANT HORN FOR THE FORCED VAN DER POL—DUFFING EQUATION
• An example of a wild strange attractor
• Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps
• THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS
• On some new aspects of celtic stone chaotic dynamics
• Phenomena of nonlinear dynamics of dissipative systems in nonholonomic mechanics of the rattleback

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