The Journal of Chemical Physics · 1982 · 14 citations · 21 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsConservative SystemsDynamic Systems AnalysisFixed PointsStability TheoryConservative Dynamical SystemsDissipative Dynamical SystemsDynamical Systems ModelingParameter Space AnalysisRate Constant DeterminationRrkm TheoryStability Analysis Of Linear SystemsStability Of Fixed Points
It is shown that a simple linear analysis on certain elliptic fixed points can be used to determine when a system will not exhibit a rate constant that is well approximated by RRKM theory. This method is used to locate those regions in parameter space where RRKM theory is expected to be valid.
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Handbook of Mathematical Functions
Donald A. McQuarrie · American Journal of Physics · 1966 · 40.9K citations
STOCHASTIC INSTABILITY OF NON-LINEAR OSCILLATIONS
G. M. Zaslavskiĭ, B. V. Chirikov · Soviet Physics Uspekhi · 1972 · 393 citations