Criteria of chaos in nonlinear mechanics

DOI10.1016/0020-7462(86)90001-6zbMath0589.70022OpenAlexW1990970881MaRDI QIDQ1074354

Michail Zak

Publication date: 1986

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(86)90001-6

zbMATH Keywords

configuration spacetransition to chaosorbital instabilitystable statenonlinear mechanicsabsence of an alternative stable stateanalytical criteria of chaosclassical attractorcurvature of the configuration spacedivergency of trajectoriesgeodesic curvature of the trajectorieskinematic line-elementpost-instability behavior

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

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