13 Result(s)
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Article
Compact hybrid type electronic neuron and computational model of its dynamics
We propose a Neurosimilator, novel analog neuron circuit and mathematical model of its dynamics that both simulate with high precision the spiking behavior of known types of excitable cells. The analog circuit...
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Article
Spontaneous motion of localized structures and localized patterns induced by delayed feedback
We study the properties of 2D dissipative structures in a coherently driven optical resonator subjected to a delayed feedback. It has been predicted that delayed feedback can lead to the spontaneous motion of...
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Article
Delayed pulse dynamics in single mode class B lasers
Single slow–fast intensity pulses are generated by quickly increasing the pump from a below to an above threshold value during a finite time interval. Under particular conditions, a pulse appears after the pum...
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Article
An analytical study of a periodically driven laser with a saturable absorber
We consider the rate equations for a laser with an intracavity saturable absorber and subject to a periodically modulated pump. By deriving simplified equations for a map valid for strongly pulsating regimes, ...
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Article
The pulse shape of a passively Q-switched microchip laser
The shape of the intensity pulse of a passively Q-switched microchip laser is investigated numerically and analytically. Our analysis is motivated by independent microchip laser experiments exhibiting nearly s...
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Article
Bifurcation phenomena in a laser with saturable absorber I
We investigate the bifurcation diagram of a laser with saturable absorber in the low and medium intensity regimes. The linear stability of the stationary solutions corresponding to these regimes is studied. In...
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Article
Bifurcation phenomena in a laser with saturable absorber. II
We continue the investigation of the bifurcation diagram of a laser with saturable absorber in the low and medium intensity regimes. Using a two-parameter perturbation expansion and a two-time analysis, we are...
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Article
Stability of rotating chemical waves
We investigate the stability of rotating waves of reaction-diffusion equations by deriving the bifurcation equations for the simplest time-periodic patterns defined in the r, θ plane of polar coordinates. We prov...
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Article
Transition from polar to duplicate patterns
The existence of symmetric nonuniform solutions in nonlinear reaction-diffusion systems is examined. In the first part of the paper, we establish systematically the bifurcation diagram of small amplitude solut...
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Article
The bifurcation diagram of a model chemical reaction—II. Two dimensional time-periodic patterns
The bifurcation equations of a general reaction-diffusion system are derived for a circular surface. Particular attention is directed to the deformation of the circular boundary into an elliptic shape. This le...
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Article
Chemical patterns in circular morphogenetic fields
A model of morphogenetic pattern formation recently proposed by Frenchet al. (1976) is investigated in relation to the properties of reaction-diffusion systems operating on two-dimensional circular medium. One of...
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Article
Bifurcation diagram of a model chemical reaction—I. Stability changes of time-periodic solutions
The stability properties of the first two time-periodic solutions bifurcating from an unstable uniform steady-state are analyzed for a model chemical system subject to zero fluxes at the boundaries. The existe...
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Article
Turing's theory in morphogenesis
Bifurcation theoretical and numerical analyses of one of Turing's models are performed. It is shown that at the first instability point of the homogeneous state the bifurcating branches aresubcritical, and thus e...
