Experimental study of the transitions between synchronous chaos and a periodic rotating wave.
In this work we characterize experimentally the transition between periodic rotating waves and synchronized chaos in a ring of unidirectionally coupled Lorenz oscillators by means of electronic circuits. The study is complemented by numerical and theoretical analysis, and the intermediate states and their transitions are identified. The route linking periodic behavior with synchronous chaos involves quasiperiodic behavior and a type of high-dimensional chaos known as chaotic rotating wave. The high-dimensional chaotic behavior is characterized, and is shown to be composed actually by three different behaviors. The experimental study confirms the robustness of this route.
Sánchez
Esteban
E
Area de Tecnología Electrónica, Universidad de Salamanca, E-37700 Béjar, Salamanca, Spain.
Pazó
Diego
D
Matías
Manuel A
MA
D008433:Mathematics; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009991:Oscillometry; D010825:Physics / Q000379:methods