Titlebook: Elementary Stability and Bifurcation Theory; Gérard Iooss,Daniel D. Joseph Textbook 1990Latest edition Springer-Verlag Berlin Heidelberg 1

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Masaki Yoshio,Ralph J. Brodd,Akiya Kozawaudy of stability and bifurcation to arrange things so that..But we shall not require (II.2). Instead we require that equilibrium solutions of (II.1) satisfy u =., independent of. and. The study of bifurcation of equilibrium solutions of the autonomous problem (II.1)is equivalent to the study of singular points of the curves (II.3) in the (. plane.

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Bifurcation and Stability of Steady Solutions of Evolution Equations in One Dimension,udy of stability and bifurcation to arrange things so that..But we shall not require (II.2). Instead we require that equilibrium solutions of (II.1) satisfy u =., independent of. and. The study of bifurcation of equilibrium solutions of the autonomous problem (II.1)is equivalent to the study of singular points of the curves (II.3) in the (. plane.

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https://doi.org/10.1007/978-3-030-16800-1e - ∞ < μ < ∞. The unknown in (I.1) is U(.). (F.,μ, U) is a given nonlinear function or operator. * When F is independent of . we omit . and write F(μ, U). (I.1) governs the evolution of U(.) from its .(0)= U.. An asymptotic solution is a solution to which U(.) evolves after the transient effects as

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Masaki Yoshio,Ralph J. Brodd,Akiya Kozawaudy of stability and bifurcation to arrange things so that..But we shall not require (II.2). Instead we require that equilibrium solutions of (II.1) satisfy u =., independent of. and. The study of bifurcation of equilibrium solutions of the autonomous problem (II.1)is equivalent to the study of sing

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