Scenarios of transition to chaos in the nonholonomic model of a Chaplygin top

DOI10.20537/nd1602006zbMath1347.37114OpenAlexW2525849124MaRDI QIDQ2821438

Alekseĭ Olegovich Kazakov, Igor R. Sataev

Publication date: 20 September 2016

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

Full work available at URL: http://mathnet.ru/eng/nd524

zbMATH Keywords

cascade of period-doubling bifurcationsnonholonomic modelChaplygin top

Mathematics Subject Classification ID

Dynamical systems in solid mechanics (37N15) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Dynamical aspects of attractors and their bifurcations (37G35) Motion of a rigid body in contact with a solid surface (70E18) Nonholonomic dynamical systems (37J60)

Related Items (3)

Regular and chaotic dynamics in the rubber model of a Chaplygin top ⋮ Spiral chaos in the nonholonomic model of a Chaplygin top ⋮ INVESTIGATION OF THE INFLUENCE OF RANDOM PERTURBATIONS ON THE DYNAMICS OF THE SYSTEM IN THE SUSLOV PROBLEM

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