Emergent rhythms in coupled nonlinear oscillators due to dynamic interactions
arXiv:2101.04005 · doi:10.1063/5.0039879
Abstract
The role of a new form of dynamic interaction is explored in a network of generic identical oscillators. The proposed design of dynamic coupling facilitates the onset of a plethora of asymptotic states including synchronous states, amplitude death states, oscillation death states, a mixed state (complete synchronized cluster and small amplitude unsynchronized domain), and bistable states (coexistence of two attractors). The dynamical transitions from the oscillatory to death state are characterized using an average temporal interaction approximation, which agrees with the numerical results in temporal interaction. A first-order phase transition behavior may change into a second-order transition in spatial dynamic interaction solely depending on the choice of initial conditions in the bistable regime. However, this possible abrupt first-order like transition is completely non-existent in the case of temporal dynamic interaction. Besides the study on periodic Stuart-Landau systems, we present results for paradigmatic chaotic model of Rössler oscillators and Mac-arthur ecological model.
Accepted for publication in Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021
References in corpus (12)
- Synchronization in complex networks
- Temporal Networks
- Chimera Death: Symmetry Breaking in Dynamical Networks
- Amplitude Death: The emergence of stationarity in coupled nonlinear systems
- An approach to chaotic synchronization
- Transient Uncoupling Induces Synchronization
- Explosive oscillation death in coupled Stuart-Landau oscillators
- Distance dependent competitive interactions in a frustrated network of mobile agents
- Explosive synchronization transitions in complex neural network
- Effect of repulsive links on frustration in attractively coupled networks
- Explosive death in nonlinear oscillators coupled by quorum sensing
- Synchronizing noisy nonidentical oscillators by transient uncoupling
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