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Stochastic webs and their applications.
1Space Research Institute, ul. Profsoyuznaya 84/32, Moscow 117810Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012.
Chaos (Woodbury, N.Y.)
|July 1, 1991
Summary
Researchers analyzed stochastic webs in dynamic systems and physical problems. They examined web properties, diffusion dynamics, and stochastic percolation phenomena.
Area of Science:
- Physics
- Dynamical Systems
Background:
- Stochastic webs arise in degenerate dynamic systems.
- Understanding their formation and properties is crucial in various physical problems.
Purpose of the Study:
- Analyze conditions for stochastic web appearance in dynamic systems.
- Investigate web symmetry, width, and structural changes.
- Examine diffusion dynamics and stochastic percolation.
Main Methods:
- Analysis of degenerate dynamic systems.
- Examination of typical physical problems leading to stochastic webs.
- Study of web properties and diffusion dynamics.
Main Results:
- Conditions for stochastic web formation identified.
- Symmetry, width, and structural changes of webs described.
- Diffusion dynamics variation with degrees of freedom and stochastic percolation discussed.
Conclusions:
- Stochastic webs are a significant feature in certain dynamic systems.
- Web properties and diffusion dynamics are dependent on system parameters.
- Stochastic percolation is a key phenomenon associated with these webs.