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          動力系統(tǒng)V:分歧理論和突變理論

          聯(lián)合創(chuàng)作 · 2023-10-05 20:47

          《國外數(shù)學名著系列(續(xù)1)(影印版)50:動力系統(tǒng)4(分歧理論和突變理論)》主要內容:Both bifurcation theory and catastrophe theory are studies of smooth systems,tbcusing on properties that seem manifestly non-smooth. Bifurcations are sudden changes that occur in a system as one or more parameters are varied.Catastrophe theory is accurately described as singularity theory and its applications.

          These two theories are im...

          《國外數(shù)學名著系列(續(xù)1)(影印版)50:動力系統(tǒng)4(分歧理論和突變理論)》主要內容:Both bifurcation theory and catastrophe theory are studies of smooth systems,tbcusing on properties that seem manifestly non-smooth. Bifurcations are sudden changes that occur in a system as one or more parameters are varied.Catastrophe theory is accurately described as singularity theory and its applications.

          These two theories are important tools in the study of differential equations and of related physical systems.Analyzing the bifurcations or singularities of a system provides useful qualitative information about its behaviour. The authors have written this book with reffeshing clarity.Theexposition is masterful,with penetrating insights.

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