2-d Quadratic Maps And 3-d Ode Systems: A Rigorous Approach by Zeraoulia Elhadj2-d Quadratic Maps And 3-d Ode Systems: A Rigorous Approach by Zeraoulia Elhadj

2-d Quadratic Maps And 3-d Ode Systems: A Rigorous Approach

byZeraoulia Elhadj

Hardcover | July 9, 2010

Pricing and Purchase Info

$150.03 online 
$179.50 list price save 16%
Earn 750 plum® points

Prices and offers may vary in store

Quantity:

In stock online

Ships free on orders over $25

Not available in stores

about

This book is based on research on the rigorous proof of chaos and bifurcations in 2-D quadratic maps, especially the invertible case such as non map, and in 3-D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in the field of general 2-D quadratic maps, especially their classification into equivalence classes, and finding regions for chaos, hyperchaos, and non-chaos in the space of bifurcation parameters. Following the main introduction to the rigorous tools used to prove chaos and bifurcations in the two representative systems, is the study of the invertible case of the non mapping. 2-D quadratic maps are then classified into 30 maps with well-known formulas. Two proofs on the regions for chaos, hyperchaos, and non-chaos in the space of the bifurcation parameters are presented using a technique based on the second-derivative test and bounds for Lyapunov exponents. Also included is the proof of chaos in the piecewise linear Chua's system using two methods, the first of which is based on the construction of Poincare map, and the second is based on a computer-assisted proof. Finally, a rigorous analysis is provided on the bifurcational phenomena in the piecewise linear Chua's system using both an analytical 2-D mapping and a 1-D approximated Poincare mapping in addition to other analytical methods.
Title:2-d Quadratic Maps And 3-d Ode Systems: A Rigorous ApproachFormat:HardcoverDimensions:356 pages, 9.41 × 7.24 × 0.98 inPublished:July 9, 2010Publisher:World Scientific PublishingLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9814307742

ISBN - 13:9789814307741

Look for similar items by category:

Reviews