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ISCAS
2011
IEEE
194views Hardware» more  ISCAS 2011»
13 years 3 months ago
Bifurcation and basin in two coupled parametrically forced logistic maps
— Two coupled logistic maps whose parameters are forced into periodic varying are investigated. From the investigation of bifurcation in this system, nonexistence of odd periodic...
Hironori Kumeno, Yoshifumi Nishio, Daniele Fournie...
SIAMADS
2010
101views more  SIAMADS 2010»
13 years 6 months ago
An Analytical Approach to Codimension-2 Sliding Bifurcations in the Dry-Friction Oscillator
In this paper, we consider analytically sliding bifurcations of periodic orbits in the dry friction oscillator. The system depends on two parameters; F, which corresponds to the i...
Marcel Guardia, S. John Hogan, Tere M. Seara
SIAMADS
2010
83views more  SIAMADS 2010»
13 years 6 months ago
On the State Space Geometry of the Kuramoto-Sivashinsky Flow in a Periodic Domain
Abstract. The continuous and discrete symmetries of the Kuramoto
Predrag Cvitanovic, Ruslan L. Davidchack, Evangelo...
JNS
2008
63views more  JNS 2008»
13 years 11 months ago
Numerical Continuation of Hamiltonian Relative Periodic Orbits
The bifurcation theory and numerics of periodic orbits of general dynamical systems is well developed, and in recent years there has been rapid progress in the development of a bi...
Claudia Wulff, Andreas Schebesch
IJBC
2008
83views more  IJBC 2008»
13 years 11 months ago
Existence and Stability of Periodic orbits of Periodic Difference Equations with Delays
In this paper, we investigate the existence and stability of periodic orbits of the p-periodic difference equation with delays xn = f(n - 1, xn-k). We show that the periodic orbit...
Ziyad Alsharawi, James Angelos, Saber Elaydi
CEC
2007
IEEE
13 years 11 months ago
Entropy-based Memetic Particle Swarm Optimization for computing periodic orbits of nonlinear mappings
— The computation of periodic orbits of nonlinear mappings is very important for studying and better understanding the dynamics of complex systems. Evolutionary algorithms have s...
Y. G. Petalas, Konstantinos E. Parsopoulos, Michae...
ISCAS
2008
IEEE
343views Hardware» more  ISCAS 2008»
14 years 6 months ago
Rigorous study of short periodic orbits for the Lorenz system
— The existence of short periodic orbits for the Lorenz system is studied rigorously. We describe a method for finding all short cycles embedded in a chaotic singular attractor ...
Zbigniew Galias, Warwick Tucker
HYBRID
2009
Springer
14 years 6 months ago
Existence of Periodic Orbits with Zeno Behavior in Completed Lagrangian Hybrid Systems
Abstract. In this paper, we consider hybrid models of mechanical systems undergoing impacts — Lagrangian hybrid systems, and study their periodic orbits in the presence of Zeno b...
Yizhar Or, Aaron D. Ames