Normal forms and nonlocal chaotic behavior in Sprott systems
Yükleniyor...
Dosyalar
Tarih
2003-06
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The Sprott systems are used as benchmarks for investigating the applicability of the normal form transformation in estimating nonlocal properties of attractors such as positive and zero Liapunov exponents. Possibility of a relation between complex conjugate eigenvalue pairs and zero Liapunov exponents; conditions under which the normal form expansion can represent the attractor; an averaging relation for the largest Liapunov exponent based on this representation are studied. Nonlinear transformations that can change the order of a resonance are considered. In spite of their convergence problems, it is seen that the normal form approach can give reasonable estimates of nonlocal properties of attractors near Hopf bifurcations.
Açıklama
This work is partially supported by the Boğaziçi University Research Fund under grant 99B301 and the Scientific and Technical Research Council of Turkey.
Anahtar Kelimeler
Chaos, Normal forms, Liapunov exponents, Nonsemisimple critical mode, Lyapunov exponents, Dynamical-systems, Nonlinear-systems, Stability, Benchmarking, Bifurcation (mathematics), Chaos theory, Lyapunov methods, Mathematical transformations, Attractors, Nonlinear systems
Kaynak
International Journal of Engineering Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
41
Sayı
10
Künye
Ziya Perdahçı, N. & Hacınlıyan, A. (2003). Normal forms and nonlocal chaotic behavior in sprott systems. International Journal of Engineering Science, 41(10), 1085-1108. doi:10.1016/S0020-7225(02)00325-7
