The Hopf Bifurcation and Its Applications: 19 (Applied Mathematical Sciences, 19) - Image 1

£78.79

Springer The Hopf Bifurcation and Its Applications: 19 (Applied Mathematical Sciences, 19)

Name: The Hopf Bifurcation and Its Applications: 19 (Applied Mathematical Sciences, 19)
Brand: Springer
Price: 78.79 GBP
Availability: InStock

Algebra

About as cheap as it gets. The only time it was cheaper was 2 years ago.

£79 today · all-time low £77 (Jun 2024) · usually the usual

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 629 days • 629 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 629 days • 3 price levels

Days at Price

Current Price

Price Analysis

Most common price: £80 (454 days, 72.2%)

Price range: £77 - £80

Price levels: 3 different prices over 629 days

Description

The goal of these notes is to give a reasonahly com plete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to spe cific problems, including stability calculations. Historical ly, the subject had its origins in the works of Poincare [1] around 1892 and was extensively discussed by Andronov and Witt [1] and their co-workers starting around 1930. Hopf's basic paper [1] appeared in 1942. Although the term "Poincare Andronov-Hopf bifurcation" is more accurate (sometimes Friedrichs is also included), the name "Hopf Bifurcation" seems more common, so we have used it. Hopf's crucial contribution was the extension from two dimensions to higher dimensions. The principal technique employed in the body of the text is that of invariant manifolds. The method of Ruelle Takens [1] is followed, with details, examples and proofs added. Several parts of the exposition in the main text come from papers of P. Chernoff, J. Dorroh, O. Lanford and F. Weissler to whom we are grateful. The general method of invariant manifolds is common in dynamical systems and in ordinary differential equations: see for example, Hale [1,2] and Hartman [1]. Of course, other methods are also available. In an attempt to keep the picture balanced, we have included samples of alternative approaches. Specifically, we have included a translation (by L. Howard and N. Kopell) of Hopf's original (and generally unavailable) paper.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 0387902007
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Publication Date: 17 August 1976
Listed Since: 30 December 2006

Barcode

No barcode data available

Springer The Hopf Bifurcation and Its Applications: 19 (Applied Mathematical Sciences, 19)

About as cheap as it gets. The only time it was cheaper was 2 years ago.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Normally Hyperbolic Invariant Manifolds in Dynamical Systems: 105 (Applied Mathematical Sciences, 105)

Differential Equations: A Dynamical Systems Approach to Theory and Practice: 212 (Graduate Studies in Mathematics)

Lectures On The Geometry Of Manifolds (2Nd Edition)

Center Manifolds for Semilinear Equations with Non-dense Domain and Applications to Hopf Bifurcation in Age Structured Models (Memoirs of the American Mathematical Society)

LECTURES ON THE GEOMETRY OF MANIFOLDS (2ND EDITION)

Chaotic Dynamics in Two-dimensional Noninvertible Maps (World Scientific Series on Nonlinear Science. Series a, Vol. 20)

Dynamical Systems on 2- and 3-Manifolds: 46 (Developments in Mathematics, 46)

Differential Geometry and Topology: With a View to Dynamical Systems (Studies in Advanced Mathematics)

Geometric Aspects of Analysis and Mechanics: In Honor of the 65th Birthday of Hans Duistermaat: 292 (Progress in Mathematics, 292)

Frobenius Manifolds: Quantum Cohomology and Singularities: 36 (Aspects of Mathematics, 36)

Dynamical Systems VIII: Singularity Theory II. Applications: 39 (Encyclopaedia of Mathematical Sciences, 39)

Global Analysis: Differential Forms in Analysis, Geometry and Physics (Graduate Studies in Mathematics)

Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis: 56 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 56)

Stein Manifolds and Holomorphic Mappings: The Homotopy Principle in Complex Analysis: 56 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 56)

J-holomorphic Curves and Symplectic Topology: Second Edition (American Mathematical Society) (Colloquium Publications)

Groups, Invariants, Integrals, and Mathematical Physics: The Wisła 20-21 Winter School and Workshop (Tutorials, Schools, and Workshops in the Mathematical Sciences)

Analytic Partial Differential Equations: 359 (Grundlehren der mathematischen Wissenschaften, 359)

Normal Forms and Bifurcation of Planar Vector Fields

Holomorphic Curves in Symplectic Geometry: 117 (Progress in Mathematics, 117)

Pseudo-Differential Operators, Generalized Functions and Asymptotics: 231 (Operator Theory: Advances and Applications, 231)

Geometry and Topology of Submanifolds and Currents (Contemporary Mathematics): 2013 Midwest Geometry Conference (MGC XIX) October 19, 2013 Oklahoma ... 2012 University of Oklahoma, Norman, OK

Lusternik-schnirelmann Category (Mathematical Surveys & Monographs)

Differential Geometry and Mathematical Physics: Part I. Manifolds, Lie Groups and Hamiltonian Systems (Theoretical and Mathematical Physics)

Dynamical Systems: An Introduction (Universitext)