A damped pendulum forced with a constant torque

Coullet, P.; Gilli, J. M.; Monticelli, Marc; Vandenberghe, Nicolas

doi:10.1119/1.2074027

Cited by 45 publications

(30 citation statements)

References 5 publications

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“…The increasing trend of the time period (in solid line) with decreasing current bias is perfectly fitted with the curve (in dotted line). This typical scaling behavior reconfirms [2], [6], [26] SNIC at a critical dc bias . When a sinusoidal current is forced to the junction, it modulates the dc bias.…”

Section: Bifurcation Scenariosupporting

confidence: 62%

Spiking and Bursting in Josephson Junction

Dana

Sengupta

2006

IEEE Trans. Circuits Syst. II

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This brief reports spiking and bursting in numerical simulations of the resistive-capacitive-inductive shunted Josephson junction model. Regular spiking, intrinsic bursting, and fast spiking, which are usually seen in the mammalian neocortex, are observed in the junction dynamics under external dc bias. The junction voltage is amplitude and frequency modulated when forced by weaker sinusoidal forcing of frequency much lower than the junction resonant frequency. For stronger forcing, bursting is observed. The autonomous junction also shows bursting in the high inductive regime. Bifurcation scenarios of bursting are discussed for both autonomous and nonautonomous cases.

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Section: Bifurcation Scenariosupporting

confidence: 62%

Spiking and Bursting in Josephson Junction

Dana

Sengupta

2006

IEEE Trans. Circuits Syst. II

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“…The dynamics of Eq. (8) are quite simple and have been fully investigated [33,34]. If | √ a 2 −1 λ| > 1 then the only invariant set is a stable periodic orbit.…”

Section: Global Bifurcations Of the Systemmentioning

confidence: 99%

Dynamics near a periodically-perturbed robust heteroclinic cycle

Tsai

Dawes

2013

Physica D: Nonlinear Phenomena

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“…This pulse consists of the relative phase between slave and master laser completing a full circle before settling again to the initial value 24,29 , in excellent analogy with an overdamped pendulum submitted to a fluid torque 30 or excitable particles in an optical torque wrench 31 . Slow (4200 ps) or wrongly oriented phase variations do not trigger the excitable response 24 .…”

Section: Experimentmentioning

confidence: 99%

Topological solitons as addressable phase bits in a driven laser

et al. 2015

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Optical localized states are usually defined as self-localized bistable packets of light, which exist as independently controllable optical intensity pulses either in the longitudinal or transverse dimension of nonlinear optical systems. Here we demonstrate experimentally and analytically the existence of longitudinal localized states that exist fundamentally in the phase of laser light. These robust and versatile phase bits can be individually nucleated and canceled in an injection-locked semiconductor laser operated in a neuron-like excitable regime and submitted to delayed feedback. The demonstration of their control opens the way to their use as phase information units in next-generation coherent communication systems. We analyse our observations in terms of a generic model, which confirms the topological nature of the phase bits and discloses their formal but profound analogy with Sine-Gordon solitons.

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A damped pendulum forced with a constant torque

Cited by 45 publications

References 5 publications

Spiking and Bursting in Josephson Junction

Spiking and Bursting in Josephson Junction

Dynamics near a periodically-perturbed robust heteroclinic cycle

Topological solitons as addressable phase bits in a driven laser

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