Chaotic motion versus stochastic excitation

DOI10.1016/0960-0779(91)90039-CzbMath0759.34040OpenAlexW2085023586MaRDI QIDQ1196728

F. Bontempi, Lucia Faravelli, Fabio Casciati

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/0960-0779(91)90039-c

zbMATH Keywords

sensitivityoscillatorLyapunov exponentsnumerical simulationsrandom noise

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Bifurcations and instability for nonlinear problems in mechanics (70K50) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Ordinary differential equations and systems with randomness (34F05) Numerical analysis in abstract spaces (65J99)

Related Items (2)

Non-linear dynamics versus chaotic motion for MDOF structural systems. ⋮ Chaotic oscillations in a stochastic environment.

Cites Work

• Periodic and chaotic motions of an unsymmetrical oscillator in nonlinear structural dynamics
• Determining Lyapunov exponents from a time series
• On strange nonchaotic attractors and their dimensions
• Engineering applications of dynamics of chaos
• Regular and stochastic motion
• On the Susceptibility of Local Elastic Buckling to Chaos
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