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Can I read 2-D Quadratic Maps and 3-D ODE Systems: A Rigorous Approach (World Scientific Series on Nonlinear Science, Series A) (World Scientific Series on . . . ... Series in Nonlinear Science, Series a) on EtoBox?
2-D Quadratic Maps and 3-D ODE Systems: A Rigorous Approach (World Scientific Series on Nonlinear Science, Series A) (World Scientific Series on . . . ... Series in Nonlinear Science, Series a) by Zeraoulia elhadj Elhadj is a nonfiction available to read on EtoBox.
What is 2-D Quadratic Maps and 3-D ODE Systems: A Rigorous Approach (World Scientific Series on Nonlinear Science, Series A) (World Scientific Series on . . . ... Series in Nonlinear Science, Series a) 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 the Hénon 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 2-D quadratic map, where previous works are oriented toward Hénon 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 Poincaré map, and the second is based
Who reads 2-D Quadratic Maps and 3-D ODE Systems: A Rigorous Approach (World Scientific Series on Nonlinear Science, Series A) (World Scientific Series on . . . ... Series in Nonlinear Science, Series a)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Zeraoulia elhadj Elhadj
- Publisher
- World Scientific Publishing Company
- Published
- 2010
- Language
- EN
- ISBN
- 9789814307758
- Category
- nonfiction
- Subjects
- Science, Engineering, Mathematics
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