SELF-ORGANIZATION AND DYNAMIC CHAOS
IN CHEMICAL-TECHNOLOGY AND HEAT-EXCHANGE
DEVICES: PROBLEMS AND TASKS
L. P. Kholpanov

UDC 577.3; 517.9; 536.1; 66.02:621.1:533:51-74

Nonlinear phenomena in thermophysical and chemical-technology 
processes are considered in the context of nonlinearity, instability, 
nonuniqueness, nonstationarity, and irreversibility. The perturbation 
frequency (phase)-to-amplitude ratio is the governing parameter of 
the nonlinear interaction of perturbations that are described by the 
proposed general nonlinear parabolic equation. The nonlinearity of 
this ratio characterizes turbulence, while its linearity characterizes 
self-organization. It is shown that chaotic conditions can be self-organized 
under the action of "white noise," which favors the system getting 
into the domain of attraction of a stable node. The mechanism of the 
occurrence of turbulence is substantiated.

Institute for Problems of Chemical Physics, Russian Academy 
of Sciences, Chernogolovka, Moscow Region, Russia; email: kholp@icp.ac.ru. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 74, No. 4, pp. 
5-13, July-August, 2001. Original article submitted September 7, 2000.

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