Title :
Rare attractors in typical nonlinear discrete dynamical models
Author :
Yevstignejev, V. ; Klokov, A. ; Smirnova, R. ; Schukin, I.
Author_Institution :
Inst. of Mech., Riga Tech. Univ., Riga, Latvia
Abstract :
This paper is devoted to implementation of the method of complete bifurcation groups (MCBG) to numerical bifurcation analysis of typical nonlinear discrete dynamical models. There were found rare periodic and chaotic attractors, parameter range with coexisting rare and chaotic attractors, fully unstable subharmonic isle, and such phenomena as cluster of submerged subharmonic isles.
Keywords :
bifurcation; chaos; nonlinear dynamical systems; numerical analysis; MCBG; chaotic attractors; coexisting rare; full unstable subharmonic isle; method of complete bifurcation groups; numerical bifurcation analysis; parameter range; rare attractors; rare periodic; submerged subharmonic isle cluster; typical nonlinear discrete dynamical models; Analytical models; Bifurcation; Mathematical model; Numerical models; Orbits; Reactive power; Skeleton;
Conference_Titel :
Nonlinear Science and Complexity (NSC), 2012 IEEE 4th International Conference on
Conference_Location :
Budapest
Print_ISBN :
978-1-4673-2702-2
Electronic_ISBN :
978-1-4673-2701-5
DOI :
10.1109/NSC.2012.6304710
