Bifurcations and Periodic Orbits of Vector Fields

Name: Bifurcations and Periodic Orbits of Vector Fields
Brand: Springer Netherlands
SKU: 9780792323921
Price: 108879 HUF
Availability: InStock

Szerző: Dana Schlomiuk

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer Netherlands

Elérhetőség: Beszállítói készleten

Küldés 10-13 napon belül

108 879 Ft

The main topic of this book is the theory of bifurcations of vector fields, i.e. the study of famili...

Információk a könyvről

Szerző

Dana Schlomiuk

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

1993

oldal

474

EAN

9780792323921

ISBN

0792323920

Enbook ID

01394126

Kiadó

Springer Netherlands

Súly

871

Méretek

160 x 240 x 26

Teljes leírás

The main topic of this book is the theory of bifurcations of vector fields, i.e. the study of families of vector fields depending on one or several parameters and the changes (bifurcations) in the topological character of the objects studied as parameters vary. In particular, one of the phenomena studied is the bifurcation of periodic orbits from a singular point or a polycycle. The following topics are discussed in the book: Divergent series and resummation techniques with applications, in particular to the proofs of the finiteness conjecture of Dulac saying that polynomial vector fields on R2 cannot possess an infinity of limit cycles. The proofs work in the more general context of real analytic vector fields on the plane. Techniques in the study of unfoldings of singularities of vector fields (blowing up, normal forms, desingularization of vector fields). Local dynamics and nonlocal bifurcations. Knots and orbit genealogies in three-dimensional flows. Bifurcations and applications: computational studies of vector fields. Holomorphic differential equations in dimension two. Studies of real and complex polynomial systems and of the complex foliations arising from polynomial differential equations. Applications of computer algebra to dynamical systems.

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Bifurcations and Periodic Orbits of Vector Fields

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