Titlebook: Infinite Dimensional Dynamical Systems; John Mallet-Paret,Jianhong Wu,Huaiping Zhu Book 2013 Springer Science+Business Media New York 2013

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institute

衰弱的心

Global Hopf Bifurcation Analysis of a Neuron Network Model with Time Delays,rmal form method and center manifold theorem. To show that periodic solutions exist away from the bifurcation points, we establish that local Hopf branches globally extend for arbitrarily large delays.

aptitude

Instability of Low Density Supersonic Waves of a Viscous Isentropic Gas Flow Through a Nozzle, unstable; more precisely, we will establish the existence of positive eigenvalues for the linearization along such waves. The result is achieved via a center manifold reduction of the eigenvalue problem. The reduced eigenvalue problem is then studied in the framework of the Sturm–Liouville Theory.

跳動

Semiflows for Neutral Equations with State-Dependent Delays, .-functions. The hypotheses are satisfied for a prototype equation of the form . with?.<.(.(.))<0, which for certain . and . models the interaction between following a trend and negative feedback with respect to some equilibrium state.

使混合

Global Attractor of a Coupled Two-Cell Brusselator Model,actness of this type of four-variable reaction-diffusion systems with cubic autocatalytic nonlinearity and with linear coupling. It is also proved that the Hausdorff dimension and the fractal dimension of the global attractor are finite.

培養(yǎng)

Projectors on the Generalized Eigenspaces for Partial Differential Equations with Time Delay,rmulas for the projectors on the generalized eigenspaces associated to some eigenvalues. As examples, we apply the obtained results to study a reaction-diffusion equation with delay and an age-structured model with delay.

isotope

1069-5265 subject for several decades.Discusses cutting-edge developme?This collection covers a wide range of topics of infinitedimensional dynamical systems generated by parabolic partial differentialequations, hyperbolic partial differential equations, solitary equations,lattice differential equations, dela

Urea508

Persistence of Periodic Orbits for Perturbed Dissipative Dynamical Systems,tion (with a period near the period of the periodic solution of the unperturbed problem). We review some methods of proofs, used in the case of systems of ordinary differential equations, and discuss their extensions to the infinite-dimensional case.

Bureaucracy

Spectral Theory for Forward Nonautonomous Parabolic Equations and Applications,s a nonempty compact interval. Fundamental properties of the principal spectrum for forward nonautonomous equations are investigated. The paper concludes with applications of the principal spectrum theory to the problem of uniform persistence in some population growth models.