Lozi Mappings

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A01=Zeraoulia Elhadj
advanced chaos modeling techniques
and Chaos
Anosov Diffeomorphism
attractor
Author_Zeraoulia Elhadj
bifurcation analysis
Bifurcation Diagram
Category=PBKJ
Category=PBM
Category=PBWH
chaotic
Chaotic Attractor
Chaotic Optimization
Comprehensive Review of Hyperbolicity
Dynamical Properties of the Lozi Mappings
dynamical systems theory
entropy
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
ergodic theory applications
Ergodicity
exponent
Fi Rst Quadrant
Fi Xed Point
Hausdorff Dimension
homoclinic
Homoclinic Orbits
Homoclinic Point
Homoclinic Tangencies
IOP Publishing
Irrational Rotation Number
List of Figures
Lozi Map
lyapunov
manifolds
mathematical chaos theory
nonlinear dynamics
orbit
Period Doubling Bifurcation
Periodic Orbit
piecewise affine maps
Piecewise Smooth Maps
Rational Rotation Number
Real and Mathematical Applications of Lozi Mappings
Reality of Chaos in the Henon Mapping
Rotation Number
SRB Measure
Strange Attractors
Ta Ge
topological
Topological Entropy
Transversal Homoclinic Points
Uniformly Hyperbolic
unstable
Unstable Manifolds

Product details

  • ISBN 9781466580701
  • Weight: 612g
  • Dimensions: 156 x 234mm
  • Publication Date: 17 Aug 2013
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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This book is a comprehensive collection of known results about the Lozi map, a piecewise-affine version of the Henon map. Henon map is one of the most studied examples in dynamical systems and it attracts a lot of attention from researchers, however it is difficult to analyze analytically. Simpler structure of the Lozi map makes it more suitable for such analysis. The book is not only a good introduction to the Lozi map and its generalizations, it also summarizes of important concepts in dynamical systems theory such as hyperbolicity, SRB measures, attractor types, and more.
Elhadj, Zeraoulia

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