Bifurcations In Piecewise-smooth Continuous Systems
Author:   David John Warwick Simpson (Univ Of British Columbia, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Volume:   70
ISBN:  

9789814293846


Pages:   256
Publication Date:   15 January 2010
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Our Price $303.60 Quantity:  
Add to Cart

Share |

Bifurcations In Piecewise-smooth Continuous Systems


Add your own review!

Overview

Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. However there still remain many gaps in the mathematical theory of such systems. This doctoral thesis presents new results regarding bifurcations of piecewise-smooth, continuous, autonomous systems of ordinary differential equations and maps. Various codimension-two, discontinuity induced bifurcations are unfolded in a rigorous manner. Several of these unfoldings are applied to a mathematical model of the growth of Saccharomyces cerevisiae (a common yeast). The nature of resonance near border-collision bifurcations is described; in particular, the curious geometry of resonance tongues in piecewise-smooth continuous maps is explained in detail.Neimark-Sacker-like border-collision bifurcations are both numerically and theoretically investigated. A comprehensive background section is conveniently provided for those with little or no experience in piecewise-smooth systems.

Full Product Details

Author:   David John Warwick Simpson (Univ Of British Columbia, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   70
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 22.90cm
Weight:   0.454kg
ISBN:  

9789814293846


ISBN 10:   9814293849
Pages:   256
Publication Date:   15 January 2010
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Fundamentals of Piecewise-Smooth, Continuous Systems; Discontinuous Bifurcations in Planar Systems; Codimension-Two, Discontinuous Bifurcations; The Growth of Saccharomyces cerevisiae; Codimension-Two, Border-Collision Bifurcations; Periodic Solutions and Resonance Tongues; Neimark-Sacker-Like Bifurcations;

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

MRG2025CC

 

Shopping Cart
Your cart is empty
 Shopping cart
Mailing List

 

Sign up now