本书包含三方面内容。第一部分是工程中的数学模型设计与分析，如非线性化学过程中的周期演化、振动紧致系统及其性态等；第二部分讨论气候变化方面的数学建模问题；第三部分考虑分数阶动力系统和控制问题，如变阶分数阶最优控制的新型矩阵运算技术、带广义多项式的非线性变阶时间分数阶对流扩散方程、微分方程和积分微分方程的可解性和反问题。
本书发展了将非线性设计应用于实际工程的数学理论，有助于读者更好地理解非线性动力学中的机制和现象。

迪米特里·沃尔琴科夫博士是得克萨斯理工大学副教授，四川轻化工大学客座教授。他的研究兴趣在于复杂性科学和应用数学。他著有13本专著，发表了132篇文章，是4种交叉学科期刊主编和21种国际期刊审稿人。

Applications of the Fundamentals of Bezier Curves
On Complex Periodic Evolutions of a Periodically Diffused Brusselator
Analysis of Intermittent and Quasi-Periodic Transitions to Chaos in Vibro-Impact System with Continuous Wavelet Transform
Complex Dynamics of Solitons in Rotating Fluids
A Climate-Economy Model with Endogenous Carbon Intensity
A Regulated Market Under Sanctions. On Tail Dependence Between Oil, Gold, and Tehran Stock Exchange Index
Dynamics of Water-Constrained Economies Affected by Climate Change: Nonlinear and Stochastic Effects
An Efficient Operational Matrix Technique for Variable-Order Fractional Optimal Control Problems
Solving Nonlinear Variable-Order Time Fractional Convection-Diffusion Equation with Generalized Polynomials
Inverse Problems for Some Systems of Parabolic Equations
Solvability in the Sense of Sequences for Some Non-Fredholm Operators with Drift