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This book is part of a two volume set which presents the analysis
of nonlinear phenomena as a long-standing challenge for research in
basic and applied science as well as engineering. It discusses
nonlinear differential and differential equations, bifurcation
theory for periodic orbits and global connections. The
integrability and reversibility of planar vector fields and
theoretical analysis of classic physical models are sketched. This
first volume concentrates on the mathematical theory and
computational techniques that are essential for the study of
nonlinear science, a second volume deals with real-world nonlinear
phenomena in condensed matter, biology and optics.
This book is part of a two volume set which presents the analysis
of nonlinear phenomena as a long-standing challenge for research in
basic and applied science as well as engineering. It discusses
nonlinear differential and differential equations, bifurcation
theory for periodic orbits and global connections. The
integrability and reversibility of planar vector fields and
theoretical analysis of classic physical models are sketched. This
first volume concentrates on the mathematical theory and
computational techniques that are essential for the study of
nonlinear science, a second volume deals with real-world nonlinear
phenomena in condensed matter, biology and optics.
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