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Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-017-3411-7
Abstract: We investigate the transition between oscillatory and amplitude death (AD) states and the existence of death islands in intrinsic time-delayed chaotic oscillators under the simultaneous presence of diffusive (direct) and environmental (indirect) coupling. Studies in…
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Keywords:
existence death;
death islands;
death;
intrinsic time ... See more keywords
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Published in 2018 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-018-4117-1
Abstract: To explore the conditions ensuring amplitude death is always a topic of research for understanding the nature of real systems. However, the previous studies mainly focus on the coupling, that is, continuous or time-invariant. Here…
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Keywords:
discontinuous coupling;
death;
via discontinuous;
death via ... See more keywords
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Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-04961-3
Abstract: Amplitude death, which occurs in a system when one or more macroscopic wavefunctions collapse to zero, has been observed in mutually coupled solid-state lasers, analog circuits, and thermoacoustic oscillators, to name a few applications. While…
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Keywords:
complex ginzburg;
death;
amplitude death;
ginzburg landau ... See more keywords
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Published in 2021 at "International Journal of Non-linear Mechanics"
DOI: 10.1016/j.ijnonlinmec.2020.103659
Abstract: Abstract Coupling nonlinear dynamical systems can lead to a host of phenomena, one of which leads to the complete cessation of their oscillations. This phenomenon is referred to as amplitude death (AD) in the dynamical…
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Keywords:
death;
death coupled;
investigating amplitude;
nonlinear aeroelastic ... See more keywords
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Published in 2017 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2016.07.011
Abstract: Abstract The present paper studies amplitude death in high-dimensional maps coupled by time-delay connections. A linear stability analysis provides several sufficient conditions for an amplitude death state to be unstable, i.e., an odd number property…
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Keywords:
high dimensional;
death;
stability analysis;
delay ... See more keywords
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Published in 2018 at "Scientific Reports"
DOI: 10.1038/s41598-018-30026-3
Abstract: Nonlinear phenomena emerging from the coupled behaviour of a pair of oscillators have attracted considerable research attention over the years, of which, amplitude death (AD) and phase-flip bifurcation (PFB) are two noteworthy examples. Although theoretical…
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Keywords:
phase flip;
phase;
flip bifurcation;
pfb ... See more keywords
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Published in 2018 at "Chaos"
DOI: 10.1063/1.5009999
Abstract: We here systematically investigate amplitude death (AD) phenomenon in a thermoacoustic system using a mathematical model of coupled prototypical thermoacoustic oscillators, the horizontal Rijke tubes. AD has recently been identified as a relatively simple phenomenon,…
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Keywords:
thermoacoustic oscillators;
time;
delay dissipative;
amplitude death ... See more keywords
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Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.104.014205
Abstract: In nonlinear dynamics, a parameter drift can lead to a sudden and complete cessation of the oscillations of the state variables-the phenomenon of amplitude death. The underlying bifurcation is one at which the system settles…
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Keywords:
death machine;
amplitude death;
machine learning;
death ... See more keywords
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Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.042216
Abstract: The present study investigates amplitude death in Cartesian product networks of two subnetworks, where each subnetwork has a different coupling delay. The property of the Cartesian product helps us to analyze the stability of amplitude…
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Keywords:
death;
cartesian product;
product networks;
death cartesian ... See more keywords