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PREFACE: RECENT ADVANCES IN BIFURCATION THEORY AND APPLICATION

机译:前言:分叉理论和应用的最新进展

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摘要

Bifurcation theory is an essential mathematical study and is widespread in solving the abundance of problems in nonlinear science. Its application covers vast terrain, including the fields of physics, chemistry, biology, engineering. The special issue aims to present the current advancement on bifurcation theory, as it provides a range of the latest progress on bifurcation theory in ordinary differential equations; partial differential equations; delay differential equations and difference equations. Eighteen papers encompass a wild spectrum of topics including, but not limited to, the theoretical analysis on local and global bifurcation, high co-dimensional bifurcation, bifurcations of limit cycle, as well as their various applications in the applied sciences. They are listed as follows.
机译:分叉理论是一个重要的数学研究,在解决非线性科学中的丰富问题方面普遍存在。其应用涵盖了庞大的地形,包括物理,化学,生物学,工程领域。特别问题旨在展示目前对分叉理论的进步,因为它为普通微分方程提供了一系列最新的分岔理论进展;部分微分方程;延迟微分方程和差分方程。十八篇论文包括野外谱,包括但不限于局部和全球分叉,高分子分叉,极限周期分叉的理论分析,以及它们在应用的科学中的各种应用。它们列于如下。

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