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。
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