Dynamical Systems V - Arnold V.I.; Afrajmovich V.S.; Il'yashenko Yu.S.; Shil'nikov L.P.; Arnold V.I. (Curatore) | Libro Springer Berlin Heidelberg 06/1994 - HOEPLI.it


home libri books ebook dvd e film top ten sconti 0 Carrello


Torna Indietro

arnold v.i.; afrajmovich v.s.; il'yashenko yu.s.; shil'nikov l.p.; arnold v.i. (curatore) - dynamical systems v

Dynamical Systems V Bifurcation Theory and Catastrophe Theory

; ; ; ;




Disponibilità: Normalmente disponibile in 15 giorni


PREZZO
129,98 €



Questo prodotto usufruisce delle SPEDIZIONI GRATIS
selezionando l'opzione Corriere Veloce in fase di ordine.


Pagabile anche con 18App Bonus Cultura e Carta del Docente


Facebook Twitter Aggiungi commento


Spese Gratis

Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 06/1994
Edizione: 1994





Trama

Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.




Sommario

I. Bifurcation Theory by V.I.Arnol'd, V.S.Afrajmovich, Yu.S.Il'yashenko, L.P.Shil'nikov: Preface.- 1. Bifurcations of Equilibria.- 2. Bifurcations of Limit Cycles.- 3. Nonlocal Bifurcations.- 4. Relaxation Oscillations.- Recommended Literature.- References II. Catastrophe Theory by V.I.Arnol'd: 1. Basic Concepts.- 2. The Theory of Catastrophes Before Poincaré.- 3. The Theory of Bifurcations in the Work of Poincaré.- 4. The Theory of Bifurcations in the Work of A.A.Andronov.- 5. Physicists' Treatment of Catastrophes Before Catastrophe Theory.- 6. Thom's Conjecture.- 7. Classifications of Singularities and Catastrophes.- Recommended Literature.- References







Altre Informazioni

ISBN:

9783540181736

Condizione: Nuovo
Collana: Encyclopaedia of Mathematical Sciences
Dimensioni: 235 x 155 mm Ø 1290 gr
Formato: Copertina rigida
Pagine Arabe: 274
Pagine Romane: ix
Traduttore: Kazarinoff, N.






Utilizziamo i cookie di profilazione, anche di terze parti, per migliorare la navigazione, per fornire servizi e proporti pubblicità in linea con le tue preferenze. Se vuoi saperne di più o negare il consenso a tutti o ad alcuni cookie clicca qui. Chiudendo questo banner o proseguendo nella navigazione acconsenti all’uso dei cookie.

X