Title Statements
- Full title :Deterministic Chaos in One-Dimensional Continuous Systems.
Edition Statements
- Publication Date:2016.
Publication Statements
- Publisher(s):World scientific Publishing Company
- Place of Publication:SG
- Language:eng
- Publication Date:2016.
Notes
6.6 Beams with Elasto-Plastic Deformations.
The Physical Object
- Description:1 online resource (577 pages).
Edition Identifiers
- ISBN:9814719692, 9789814719698
- oclc:ocn956705528
Table of Contents
Preface; 1. Bifurcational and Chaotic Dynamics of Simple Structural Members; 1.1 Beams; 1.2 Plates; 1.3 Panels; 1.4 Shells; 2. Introduction to Fractal Dynamics; 2.1 Cantor Set and Cantor Dust; 2.2 Koch Snowflake; 2.3 1D Maps; 2.4 Sharkovsky's Theorem; 2.5 Julia Set; 2.6 Mandelbrot's Set; 3. Introduction to Chaos and Wavelets; 3.1 Routes to Chaos; 3.1.1 Introduction; 3.1.2 On chaos definitions; 3.1.3 Landau-Hopf (LH) scenario; 3.1.4 Ruelle-Takens-Newhouse (RTN) scenario; 3.1.5 Feigenbaum scenario (F); 3.1.6 Pomeau-Manneville (PM) scenario; 3.1.7 Synchronization of chaos.
3.2 Quantifying Chaotic Dynamics3.2.1 Introduction; 3.2.2 Fourier Transformation (FT); 3.2.3 Types of Poincare maps; 3.2.4 Lyapunov characteristic exponents; 3.2.5 Melnikov's method; 3.2.6 Wavelet analysis; 3.2.6.1 Introduction; 3.2.7 Basic functions; 3.2.8 Properties and advantages of wavelets; 4. Simple Chaotic Models; 4.1 Introduction; 4.2 Autonomous Systems; 4.2.1 Lorenz mathematical model (LMM); 4.2.2 Rossler mathematical model (RMM); 4.2.3 Modified generator with inertial nonlinearity (MGIN); 4.2.4 Chua circuit; 4.2.5 Conservative and other systems; 4.3 Non-Autonomous Systems.
5. Discrete and Continuous Dis…
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