Paper Info
Title
Chaos Behavior In The Discrete Bvp Oscillator
Abstract
The discrete BVP oscillator obtained through the Euler method is investigated, and also first proved that there exist chaotic phenomena in the sense of Marotto's definition of chaos and two-period cycles. And numerical simulations not only show the consistence with the theoretical analysis but also exhibit the complex dynamical behaviors, including the ten-periodic orbit, a cascade of period-doubling bifurcation, quasiperiodic orbits and the chaotic orbits in Marotto's chaos and intermitten's chaos. The computations of Lyapunov exponents confirm the existence of dynamical behaviors.
Year
DOI
Venue
2002
10.1142/S0218127402004577
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
BVP oscillator, snap-back repeller, bifurcations of periodic orbits, chaos
Journal
12
Issue
ISSN
Citations 
3
0218-1274
3
PageRank 
References 
Authors
0.79
0
3
Name
Order
Citations
PageRank
Zhujun Jing1348.28
Zhiyuan Jia261.66
Ruiqi Wang36415.44