Conjugate feedback induced suppression and generation of oscillations in the Chua circuit: Experiments and simulations

Abstract

We study the suppression (amplitude death) and generation of oscillations (rhythmogenesis) in the Chua circuit using a feedback term consisting of conjugate variables (conjugate feedback). When the independent Chua circuit (without feedback) is placed in the oscillatory domain, this conjugate feedback induces amplitude death in the system. On the contrary, introducing the conjugate feedback in the system exhibiting fixed point behavior results in the generation of rhythms. Furthermore, it is observed that the dynamics of the Chua circuit could be tuned efficiently by varying the strength of this feedback term. Both experimental and numerical results are presented.

Asymmetry induced suppression of chaos

“…Steady states are often the desired target of complex systems comprised of mechanical 1 , optical 2,3 , thermo-optical 4 , electrical, chemical 5,6 and biological oscillators 7 . So, the unearthing mechanism that can guide complex dynamics to stable fixed states is of considerable relevance, both for understanding the diverse ways in which intrinsic complexity can be reigned, as well as for applications that rely on stabilization of steady states [8][9][10][11][12][13][14][15][16][17][18][19][20][21] . Conversely, the enhancement of chaos also has important practical engineering applications 22 , and in that context too it is valuable to find underlying mechanisms that may have lead to the undesirable steady states.…”