Stochastic averaging and Lyapunov exponent of quasi partially integrable Hamiltonian systems

• Published in: International journal of non-linear mechanics Vol. 37; no. 3; pp. 419 - 437
• Main Authors: Zhu, W.Q., Huang, Z.L., Suzuki, Y.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.04.2002; Elsevier Science
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Lyapunov exponent; Mathematical analysis; Mathematics; Non-linear system; Partial differential equations; Physics; Response; Sciences and techniques of general use; Solid mechanics; Stochastic averaging; Stochastic excitation; Stochastic stability; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Response; Stochastic stability; Non-linear system; Stochastic excitation; Stochastic averaging; Lyapunov exponent; Averaging method; Itô equation; Equation of motion; Random excitation; Integrable system; Numerical method; Stochastic integral; Non linear oscillator; First integral; Fokker Planck equation; Hamiltonian mechanics; Hamiltonian system; Resonance; Random vibration

An n degree-of-freedom Hamiltonian system with r (1<r<n) independent first integrals which are in involution is called partially integrable Hamiltonian system and a partially integrable Hamiltonian system subject to light dampings and weak stochastic excitations is called quasi partially integ...