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1. | Sharma, Amit; Shrimali, Manish Dev; Prasad, Awadhesh; Ramaswamy, Ram Time-delayed conjugate coupling in dynamical systems Journal Article European Physical Journal: Special Topics, 226 (9), pp. 1903–1910, 2017, ISSN: 19516401. Abstract | Links | BibTeX | Tags: Amplitude Death, Landau-Stuart, Oscillation Death, Time Delay @article{Sharma2017, title = {Time-delayed conjugate coupling in dynamical systems}, author = {Amit Sharma and Manish Dev Shrimali and Awadhesh Prasad and Ram Ramaswamy}, url = {https://ramramaswamy.org/papers/168.pdf}, doi = {10.1140/epjst/e2017-70026-4}, issn = {19516401}, year = {2017}, date = {2017-01-01}, journal = {European Physical Journal: Special Topics}, volume = {226}, number = {9}, pages = {1903–1910}, abstract = {textcopyright 2017, EDP Sciences and Springer-Verlag GmbH Germany. We study the effect of time-delay when the coupling between nonlinear systems is ‚Äúconjugate‚Äù, 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.}, keywords = {Amplitude Death, Landau-Stuart, Oscillation Death, Time Delay}, pubstate = {published}, tppubtype = {article} } textcopyright 2017, EDP Sciences and Springer-Verlag GmbH Germany. We study the effect of time-delay when the coupling between nonlinear systems is ‚Äúconjugate‚Äù, 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. |