Scope of the Series

The series will be on both classical materials, such as nonlinear dynamics, stability and optimality, and more modern topics such as differential geometry, nonlinear control theory and applications in robotics. The books can be used as a reference and guide in the active literature in these fields.

Topics will broadly include, but are not be limited to:


Contents

**Preface VII**

**Section 1 Nonlinear Modeling and Analysis 1**

Chapter 1 **Appell-Gibbs Approach in Dynamics of Non-Holonomic Systems 3** Jiří Náprstek and Cyril Fischer

**Biostructures 47**

**Applications 107**

**Levy Flights 129**

Chapter 2 **Canonical Generalized Inversion Form of Kane's Equations of Motion for Constrained Mechanical Systems 31** Abdulrahman H. Bajodah and Ye-Hwa Chen

Emil Anton, Anna Gavrilut, Maricel Agop and Daniel Timofte

Chapter 3 **Non-Linear Behaviours in the Dynamics of Some**

**Due to Different Gust Loads 89**

Horacio Florez and Miguel Argáez

Chapter 4 **Soliton-Like Solutions in the Problems of Vibrations of Nonlinear Mechanical Systems: Survey 65** Yury A. Rossikhin and Marina V. Shitikova

Ehsan Izadpanahi and Pezhman Mardanpour

Chapter 6 **A Reduced-Order Gauss-Newton Method for Nonlinear Problems Based on Compressed Sensing for PDE**

Chapter 7 **Nonlinear Response on External Electric Field and Nonlinear Generalization of Fluctuation-Dissipation Theorem for**

Valeriy E. Arkhincheev and Lubsan V. Budazapov

Chapter 5 **Nonlinear Aeroelastic Response of Highly Flexible Flying Wing**
