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Spontaneous oscillations in two 2-component cells coupled by diffusion - MaRDI portal

Spontaneous oscillations in two 2-component cells coupled by diffusion (Q1073727)

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scientific article; zbMATH DE number 3945929
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Spontaneous oscillations in two 2-component cells coupled by diffusion
scientific article; zbMATH DE number 3945929

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    Spontaneous oscillations in two 2-component cells coupled by diffusion (English)
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    1986
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    Mathematical examples are presented of oscillators with two variables which oscillate stably when coupled with a twin via diffusion. The mathematical method is a type of singular perturbation theory combined with bifurcation theory. It is shown that all stationary solutions are unstable for appropriate parameter settings. Numerical examples are presented.
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    Lefever-Prigogine Brusselator
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    glycolytic oscillations
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    limit cycles
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    stable oscillations
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    coupled oscillators
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    diffuse instabilities
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    Hopf bifurcation
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    Mathematical examples
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    stationary solutions
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    Numerical examples
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