https://doi.org/10.1140/epjst/e2017-70026-4
Regular Article
Time-delayed conjugate coupling in dynamical systems
1 The Institute of Mathematical Science, CIT Campus, Taramani, Chennai 600113, India
2 Department of Physics, Central University of Rajasthan, Ajmer 305 817, India
3 Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India
4 School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India
a e-mail: awadhesh@physics.du.ac.in
Received: 31 January 2017
Revised: 1 April 2017
Published online: 21 June 2017
We study the effect of time-delay when the coupling between nonlinear systems is “conjugate”, namely through dissimilar variables. This form of coupling can induce anomalous transitions such as the emergence of oscillatory dynamics between regimes of amplitude death and oscillation death. The specific cases of coupled Landau-Stuart oscillators as well as a predator-prey model system with cross-predation are discussed. The dynamical behaviour is analyzed numerically and the regions corresponding to different asymptotic states are identified in parameter space.
© EDP Sciences, Springer-Verlag, 2017