Titlebook: Elementary Stability and Bifurcation Theory; Gérard Iooss,Daniel D. Joseph Textbook 19801st edition Springer Science+Business Media New Yo

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https://doi.org/10.1007/978-3-476-03037-5We consider an evolution equation in [R. of the form . where F(·,·) has two continuous derivatives with respect to . and ..

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Equilibrium Solutions of Evolution Problems,We are going to study equilibrium solutions of evolution equations of the form.where . ≥ 0 is the time and . is a parameter which lies on the real line ? ∞ < . < ∞.

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Bifurcation and Stability of Steady Solutions of Evolution Equations in One Dimension,We consider an evolution equation in [R. of the form . where F(·,·) has two continuous derivatives with respect to . and ..

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Stability of Steady Solutions of Evolution Equations in Two Dimensions and , Dimensions,We noted in the introduction that the solutions of three nonlinear ordinary differential equations can be turbulent-like and outside the scope of elementary analysis. In fact, the most complete results known in bifurcation theory are for problems which can be reduced to one or two dimensions.

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