Statistics of the solution of singularly perturbed systems with random initial conditions

✍ Scribed by M.G. Zavattaro; R. Riganti

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 847 KB
• Volume: 34
• Category: Article
• ISSN: 0378-4754
• DOI: 10.1016/0378-4754(92)90079-v

✦ Synopsis

Zavattaro, M.G. and R. Riganti, Statistics of the solution of singularly perturbed systems with random initial conditions, Mathematics and Computers in Simulation 34 (1992) 487-499. The probability density and the entropy function related to the solution of initial-value problems which arise in the mathematical description of singularly perturbed, nonlinear phisycal systems with random initial conditions are derived in the assumption that the approximate solution to the considered problems is a sample continuous random process, determined analytically by means of known perturbation methods. Qualitative results on the properties of those probabilistic quantities are obtained, and a pertinent application is developed in detail.