For citation:
Bystrai G. P., Studenok S. I. Two-dimensional mappings for nonlinear rotator with a piecewise-constant decay factor raised by periodic shocks. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 6, pp. 24-34. DOI: 10.18500/0869-6632-2002-10-6-24-34
Two-dimensional mappings for nonlinear rotator with a piecewise-constant decay factor raised by periodic shocks
The deriving of difference evolutionary equations for a nonlinear rotator with a piecewise-constant decay factor raised by periodic shocks is considered. The type of nonlinearity is set by the first partial catastrophes («crimp» and «assembly»), and the time between shocks is comparable with relaxation time of a rotator. For set mappings the Lyapunov exponents, depending from two and more parameters are found; the bifurcation diagrams are constructed and some reference bifurcation values of control parameters, are spotted at transition to chaos. Obtained mappings including model equations can serve for the analysis of the first and the second type phase transitions with random dynamics of an order parameter.
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