Další formáty:
BibTeX
LaTeX
RIS
@proceedings{1775483, author = {Ševčík, Jan and Přibylová, Lenka}, booktitle = {The 14th CHAOS 2021 International Conference}, keywords = {van der Pol oscillator; bistability; Hopf-Hopf bifurcation; Arnold tongues}, language = {eng}, title = {Forced van der Pol oscillator - synchronization from the bifurcation theory point of view}, url = {http://www.cmsim.org/chaos2021.html}, year = {2021} }
TY - CONF ID - 1775483 AU - Ševčík, Jan - Přibylová, Lenka PY - 2021 TI - Forced van der Pol oscillator - synchronization from the bifurcation theory point of view KW - van der Pol oscillator KW - bistability KW - Hopf-Hopf bifurcation KW - Arnold tongues UR - http://www.cmsim.org/chaos2021.html N2 - The contribution presents a bifurcation theory point of view to synchronization of a forced van der Pol oscillator, which is coupled to a master oscillator as a system with a stable limit cycle corresponding to harmonic oscillation. We present bifurcation manifolds, 3D sections of the phase space and its Poincaré sections for parameters close to these manifolds providing a clear visualization of the dynamics of the 4D system. Among other things, we present the coexistence of a stable torus and a stable cycle arising from m-fold bifurcation on an Arnold's tongue. ER -
ŠEVČÍK, Jan a Lenka PŘIBYLOVÁ. Forced van der Pol oscillator - synchronization from the bifurcation theory point of view. In \textit{The 14th CHAOS 2021 International Conference}. 2021.
|