zbMATH — the first resource for mathematics

On a nonlocal condition for existence of cycles of hysteresis systems. (English. Russian original) Zbl 1071.34044
Autom. Remote Control 64, No. 2, 231-251 (2003); translation from Avtom. Telemekh. 2003, No. 2, 66-87 (2003).
Summary: For the higher-order autonomous equations with hysteresis nonlinearities, nonlocal criteria for existence of cycles were proposed. The basic theorems guarantee the existence of at least one cycle and present simple additional general conditions for existence of a one-parametric continuum of different cycles in the equation.

34C55 Hysteresis for ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
Full Text: DOI