Description
Book SynopsisThis book explores recent developments in theoretical research and mathematical modelling of real-world complex systems, organized in four parts.
The first part of the book is devoted to the mathematical tools for the design and analysis in engineering and social science study cases. We discuss the periodic evolutions in nonlinear chemical processes, vibro-compact systems and their behaviour, different types of metal–semiconductor self-assembled samples, made of silver nanowires and zinc oxide nanorods.
The second part of the book is devoted to mathematical description and modelling of the critical events, climate change and robust emergency scales. In three chapters, we consider a climate-economy model with endogenous carbon intensity and the behaviour of Tehran Stock Exchange market under international sanctions.
The third part of the book is devoted to fractional dynamic and fractional control problems. We discuss the novel operational matrix technique for variable-order fractional optimal control problems, the nonlinear variable-order time fractional convection–diffusion equation with generalized polynomials
The fourth part of the book concerns solvability and inverse problems in differential and integro-differential equations.
The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists and urban planners.
Table of ContentsAlbert C.J. Luo, The Chinese Calligraphy in Memory of Professor Valentin Afraimovich (1945-2018)
Chapter 01: Mayra Angélica Bárcenas-Castro, Ramón Díaz de León-Zapata, Saúl Almazán-Cuéllar, Efrén Flores-García, Gustavo Vera-Reveles, José Vulfrano González-Fernández,
Applications of the fundamentals of Bézier curves
Chapter 02: Siyu Guo, Albert C. J. Luo
On complex periodic evolutions of a periodically diffused Brussellator
Chapter 03: Victor Bazhenov, Olga Pogorelova, Tatiana Postnikova
Analysis of Intermittent and Quasi-periodic Transitions to Chaos in Vibro-impact System with Continuous Wavelet Transform
Chapter 04: Lev A. Ostrovsky, Yury A. Stepanyants
Complex Dynamics of Solitons in Rotating Fluids
Chapter 05: Dmitry V. Kovalevsky A Climate-Economy Model with Endogenous Carbon Intensity
Chapter 06: Abootaleb Shirvani, Dimitri Volchenkov
A Regulated Market Under Sanctions. On Tail Dependence Between Oil, Gold, and Tehran Stock Exchange Index
Chapter 07: Dmitry V. Kovalevsky and Mara Manez Costa
Dynamics of Water-Constrained Economies Affected by Climate Change: Nonlinear and Stochastic Effects
Chapter 08: H. Hassani, J. A. Tenreiro Machado
An efficient operational matrix technique for variable-order fractional optimal control problems
Chapter 09: H. Hassani, J. A. Tenreiro Machado, Z. Avazzadeh, E. Naraghirad
Solving nonlinear variable-order time fractional convection-diffusion equation with generalized polynomials
Chapter 10: C. Connell McCluskey ,Vitali Vougalter
Inverse problems for some systems of parabolic equations
Chapter 11: Vitali Vougalter, Vitaly Volpert
Solvability In The Sense Of Sequences For Some Non Fredholm Operators With The Bi-Laplacian
