- Author
- Simiu, E. | Franaszek, M.
- Title
- New Tool for the Investigation of a Class of Nonlinear Stochastic Differential Equations: The Melnikov Process.
- Coporate
- National Institute of Standards and Technology, Gaithersburg, MD
- Sponsor
- Office of Naval Research, Arlington, VA
- Contract
- N00014-94-0028
- Book or Conf
- Advances in Nonlinear Stochastic Mechanics IUTAM Symposium. Proceedings. July 3-7, 1995, Kluwer Academic Publishers, Boston, MA, Trondheim, Norway, Naess, A.; Krenk, S., Editors, 427-463 p., 1996
- Keywords
- building technology | chaotic dynamics | control theory | nonlinear dynamics | oceanography | stochastic differential equations | structural engineering
- Abstract
- The Melnikov process, a construct rooted in chaotic dynamics theory, was recently developed as a tool for the investigation of a broad class of nonlinear stochastic differential equations. This paper briefly reviews the stochastic Melnikov-based approach and applications to (1) oceanography, (2) open-loop control of stochastic nonlinear systems and (3) snap-through of buckled beams with distributed mass and distributed random loading.