Bifurcation diagrams in relation to synchronization in chaotic systems

TY - JOUR

T1 - Bifurcation diagrams in relation to synchronization in chaotic systems

AU - Dutta, D.

AU - Chakraborty, Sagar

PY - 2010/6/1

Y1 - 2010/6/1

N2 - We numerically study some of the three-dimensional dynamical systems which exhibit complete synchronization as well as generalized synchronization to show that these systems can be conveniently partitioned into equivalent classes facilitating the study of bifurcation diagrams within each class. We demonstrate how bifurcation diagrams may be helpful in predicting the nature of the driven system by knowing the bifurcation diagram of driving system and vice versa. The study is extended to include the possible generalized synchronization between elements of two different equivalent classes by taking the Rössler-driven- Lorenz-system as an example.

AB - We numerically study some of the three-dimensional dynamical systems which exhibit complete synchronization as well as generalized synchronization to show that these systems can be conveniently partitioned into equivalent classes facilitating the study of bifurcation diagrams within each class. We demonstrate how bifurcation diagrams may be helpful in predicting the nature of the driven system by knowing the bifurcation diagram of driving system and vice versa. The study is extended to include the possible generalized synchronization between elements of two different equivalent classes by taking the Rössler-driven- Lorenz-system as an example.

M3 - Journal article

SN - 0304-4289

VL - 74

SP - 919

EP - 929

JO - Pramana - Journal of Physics

JF - Pramana - Journal of Physics

IS - 6

ER -