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Excitable chemical reaction systems I. Definition of excitability and simulation of model systems

Journal of Mathematical Biology, 1975
Using a computer program based on the well-known Crank-Nicolson method, a number of onedimensional chemical reaction-diffusion systems showing “regenerative excitability” are simulated, both on a finite interval and on a circle. Hereby several phenomena known from nerve physiology as travelling trains and pulse omissions have been reproduced.
Karfunkel, H. R., Seelig, F. F.
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Excitation Spectrum of a Fermion System

Journal of Mathematical Physics, 1962
By the method of ``modes'' introduced by Sawada, the excitation spectra of a fermion system with singular interactions have been obtained in three cases; (1) with one additional particle above and and one hole below the Fermi surface, (2) with one additional particle above the Fermi surface, and (3) with two particles above the Fermi surface.
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Excitation transfer in disordered systems

1981
Disorder profoundly affects excitation transport in solids. Plane wave solutions lose relevancy, and marked departures from conventional band transport can occur. In particular, in the limit of strong disorder, the wave functions of an otherwise pure crystal become localized. At zero temperature, transport becomes impossible.
T. Holstein, S. K. Lyo, R. Orbach
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On excitable dynamic systems with delays

Kybernetes, 2009
PurposeThe purpose of this paper is to discuss the properties of transparency and excitability of positive linear time‐invariant systems under internal point delays.Design/methodology/approachThe problem is solved by combining the algebraic conditions for positivity, excitability, and transparency for the case of linear and time‐invariant dynamic ...
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OSCILLATIONS IN AN EXCITABLE SYSTEM WITH TIME-DELAYS

International Journal of Bifurcation and Chaos, 2003
Transition from excitability to asymptotic periodicity in an excitable system, modeled by the FitzHugh–Nagumo equations, with multiple time-delays, is analyzed. It is demonstrated that, for intermediate time-lags, the system has two coexisting attractors, a hyperbolic stable fixed point and a stable limit cycle.
Nikola Buric, Nebojsa Vasovic
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Identifiability and excitation of a class of rational systems

53rd IEEE Conference on Decision and Control, 2014
In a recent paper (Gevers et al., CDC 2013) [6] we have presented identifiability and excitation conditions for a class of linearly parametrized polynomial systems with a scalar state. The present paper expands the model class in two ways: we consider a class of rational systems with vector states that can be written in the so-called “generalized ...
Alexandre S. Bazanella   +3 more
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The brushless excitation system

Electrical Engineering, 1960
A NEW TYPE of excitation system has been developed for use in the electric utility industry in which the generator collector and collector brushes, and the exciter commutator and commutator brushes are eliminated. The basic difference between this system and its predecessors is an a-c exciter mounted on the same shaft as the generator field.
R. W. Ferguson, R. Herbst, R. W. Miller
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COORDINATION OF THE EXCITATION SYSTEMS IN A MULTIMACHINE POWER SYSTEM

IFAC Proceedings Volumes, 1983
Abstract Each generator in a power system is equipped with an Excitation Control System. Incorrect selection of the parameters of such systems might result in prolonged oscillations among the rotors of the generators. This problem can be overcome with a systematic selection of excitation system parameters so as to achieve optimum damping of all the ...
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Response of a parametrically-excited system to a nonstationary excitation

2014
The response of a parametrically-excited system to a deterministic nonstationary excitation is studied. The system, which has a cubic nonlinearity, has one focus and two saddle points and can be used as a simple model of a ship in the head or follower seas.
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