Non-potential dissipative systems exhibiting periodic attractors in regions of divergence

DOI10.1016/S0960-0779(96)00117-8zbMath0973.74577MaRDI QIDQ1807529

Anthony N. Kounadis

Publication date: 1 February 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationdynamic bucklingflutter instabilitydivergence instabilityperiodic attractorsdouble zero eigenvaluefollower loadingnon-conservative dissipative systems

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Dynamical systems in solid mechanics (37N15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (2)

Stability of weakly-damped systems under follower loads exhibiting Hopf bifurcations ⋮ The effect of infinitesimal damping on the dynamic instability mechanism of conservative systems

Cites Work

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• Nonlinear dynamic buckling of discrete structural systems under impact loading
• Non-conservative systems with symmetrizable stiffness matrices exhibiting limit cycles
• Dynamics of Asymmetric Nonconservative Systems
• Local (Classical) And Global Bifurcations In Non-linear, Non-gradient Autonomous Dissipative Structural Systems
• A QUALITATIVE ANALYSIS FOR THE LOCAL AND GLOBAL DYNAMIC BUCKLING AND STABILITY OF AUTONOMOUS DISCRETE SYSTEMS
• Nonlinear Stability and Dynamic Buckling of Autonomous Dissipative Systems
• Energy-based dynamic buckling estimates for autonomous dissipative systems
• [https://portal.mardi4nfdi.de/wiki/Publication:5813729 Die Stabilit�tskriterien der Elastomechanik]

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