Bifurcation Theory: An Introduction with Applications to - download pdf or read online

By Hansjörg Kielhöfer

In the previous 3 many years, bifurcation conception has matured right into a well-established and colourful department of arithmetic. This ebook supplies a unified presentation in an summary environment of the most theorems in bifurcation conception, in addition to newer and lesser recognized effects. It covers either the neighborhood and international concept of one-parameter bifurcations for operators performing in infinite-dimensional Banach areas, and indicates tips to follow the idea to difficulties regarding partial differential equations. as well as life, qualitative homes akin to balance and nodal constitution of bifurcating options are handled extensive. This quantity will function a huge reference for mathematicians, physicists, and theoretically-inclined engineers operating in bifurcation concept and its functions to partial differential equations.


The moment version is considerably and officially revised and new fabric is extra. between this is often bifurcation with a two-dimensional kernel with purposes, the buckling of the Euler rod, the looks of Taylor vortices, the singular restrict technique of the Cahn-Hilliard version, and an program of this system to extra advanced nonconvex variational problems.



Show description

Read or Download Bifurcation Theory: An Introduction with Applications to Partial Differential Equations: 156 (Applied Mathematical Sciences) PDF

Similar differential equations books

New PDF release: Dynamics of Third-Order Rational Difference Equations with

Extending and generalizing the result of rational equations, Dynamics of 3rd Order Rational distinction Equations with Open difficulties and Conjectures specializes in the boundedness nature of recommendations, the worldwide balance of equilibrium issues, the periodic personality of options, and the convergence to periodic ideas, together with their periodic trichotomies.

New PDF release: Navier-Stokes-Fourier Equations: A Rational Asymptotic

This learn monograph offers with a modeling conception of the procedure of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and warmth engaging in flows. the most aim is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier procedure that allows you to unify the puzzle of many of the partial simplified approximate versions utilized in Newtonian Classical Fluid Dynamics and this, first side, have evidently a not easy strategy and a vital pedagogic effect at the college schooling.

Get An Introduction to Dynamical Systems and Chaos PDF

The booklet discusses non-stop and discrete structures in systematic and sequential techniques for all facets of nonlinear dynamics. the original function of the ebook is its mathematical theories on move bifurcations, oscillatory options, symmetry research of nonlinear platforms and chaos concept. The logically established content material and sequential orientation supply readers with an international evaluation of the subject.

Dynamical Systems on 2- and 3-Manifolds (Developments in - download pdf or read online

This ebook presents an creation to the topological class of tender structurally strong diffeomorphisms on closed orientable 2- and 3-manifolds. The topological class is without doubt one of the major difficulties of the speculation of dynamical platforms and the consequences offered during this publication are generally for dynamical structures enjoyable Smale's Axiom A.

Extra info for Bifurcation Theory: An Introduction with Applications to Partial Differential Equations: 156 (Applied Mathematical Sciences)

Example text

Download PDF sample

Bifurcation Theory: An Introduction with Applications to Partial Differential Equations: 156 (Applied Mathematical Sciences) by Hansjörg Kielhöfer

by Charles

Rated 4.34 of 5 – based on 44 votes