Unified analysis of complex nonlinear motions via densities

DOI10.1023/A:1026583521930zbMath1003.70018OpenAlexW4252075090MaRDI QIDQ5929828

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Publication date: 14 January 2003

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026583521930

zbMATH Keywords

Fokker-Planck equationinvariant measureadditive zero-meandelta-correlated white noisedeterministic chaosFoguel alternative theoremheteroclinic orbithomoclinic orbitperiodic external exciting forceprobability densitiessecond-order nonlinear differential equationtime-averaging density

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Random vibrations in mechanics of particles and systems (70L05) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)

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