Complex temporal and spatial patterns in nonequilibrium processes. Final report, December 1, 1987--November 30, 1992

Technical Report · Thu Dec 31 00:00:00 EST 1992

DOI:https://doi.org/10.2172/10150621· OSTI ID:10150621

Dynamical systems methods have been used to study bifurcations and pattern formation in nonequilibrium systems. Accomplishments during this period include: information-theoretic methods for analyzing chaos, chemical reactors for studying sustained reaction-diffusion patterns, a reactor exploiting pattern formation to extract short- lived intermediate species, observation of bifurcation from periodic to quasiperiodic rotating chemical spiral patterns, observation of a Turing bifurcation (transition from uniform state to a stationary chemical pattern), method for extracting noise strength in ramped convection, self-similar fractal structure of Zn clusters in electrodeposition, and dynamical instability in crack propagation.

• Research Organization: Univ. of Texas, Austin, TX (United States)
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: FG05-88ER13821
• OSTI ID: 10150621
• Report Number(s): DOE/ER/13821-T1; ON: DE94011550; BR: KC0401060
• Resource Relation: Other Information: PBD: [1992]
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
NONLINEAR PROBLEMS
DYNAMICS
PROGRESS REPORT
CRACK PROPAGATION
ATTRACTORS
FRACTALS
OSCILLATIONS
CHEMICAL REACTIONS
DIFFUSION
FLUID MECHANICS
ELECTRODEPOSITION
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661300
MATHEMATICS AND COMPUTERS
OTHER ASPECTS OF PHYSICAL SCIENCE