On the existence of chaotic circumferential waves in spinning disks

DOI10.1063/1.2735813zbMath1159.37324arXiv0704.1406OpenAlexW3099194468WikidataQ50960615 ScholiaQ50960615MaRDI QIDQ3624798

Arzhang Angoshtari, Mir Abbas Jalali

Publication date: 30 April 2009

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1406

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

Poincaré-Andronov-Hopf bifurcation and the local Hilbert's 16th problem

Cites Work

• Unnamed Item
• Non-linear oscillations of circular plates near a critical speed resonance
• Effects of imperfection on the non-linear oscillations of circular plates spinning near critical speed
• Phase space structure of spinning disks
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The Lissajous transformation. I: Basics
• The Lissajous transformation. II: Normalization
• The number of limit cycles due to polynomial perturbations of the harmonic oscillator
• Successive derivatives of a first return map, application to the study of quadratic vector fields
• Canonical transformations depending on a small parameter
• A revisit of spinning disk models. I: Derivation of equations of motion. II: Linear transverse vibrations

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