Synchronisation and chaos in a parametrically and self-excited system with two degrees of freedom
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Publication:1576488
DOI10.1023/A:1008325924199zbMath0959.70017MaRDI QIDQ1576488
Grzegorz Litak, Kazimierz Szabelski, Jerzy Warminski
Publication date: 30 November 2000
Published in: Nonlinear Dynamics (Search for Journal in Brave)
stabilityexistenceperiodic solutionsparametric excitationvibration analysischaotic solutionshyperchaosparametric resonancesself-excited systemmultiple-scales methodtwo coupled van der Pol oscillators
Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Parametric resonances for nonlinear problems in mechanics (70K28)
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A new technique to generate independent periodic attractors in the state space of nonlinear dynamic systems ⋮ Vibration in gear systems. ⋮ Generating chaotic attractors on a surface ⋮ Dynamics of a gear system with faults in meshing stiffness ⋮ Global resonance optimization analysis of nonlinear mechanical systems: application to the uncertainty quantification problems in rotor dynamics ⋮ On a problem of modified Lindstedt--Poincaré for certain strongly nonlinear oscillators
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