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- catalog abstract "This largely self-contained research monograph addresses the following type of questions. Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? Probing into these questions leads from dynamics to topology, algebra, singularity theory, and to many applications. Within a global approach, the emphasis is on periodic motions far from equilibrium. Mathematical methods include bifurcation theory, transversality theory, and generic approximations. A new homotopy invariant is designed to study the global interdependence of symmetric periodic motions. Besides mathematical techniques, the book contains 5 largely nontechnical chapters. The first three outline the main questions, results and methods. A detailed discussion pursues theoretical consequences and open problems. Results are illustrated by a variety of applications including coupled oscillators and rotating waves: these links to such disciplines as theoretical biology, chemistry, fluid dynamics, physics and their engineering counterparts make the book directly accessible to a wider audience.".
- catalog alternative "Periodic solutions with symmetry.".
- catalog contributor b2119550.
- catalog created "c1988.".
- catalog date "1988".
- catalog date "c1988.".
- catalog dateCopyrighted "c1988.".
- catalog description "Bibliography: p. [135]-140.".
- catalog description "Contents: Introduction -- Main Results -- No Symmetry - A Survey -- Virtual Symmetry -- Generic Local Theory -- Generic Global Theory -- General Global Theory -- Applications -- Discussion -- Appendix on Genericity -- References -- Subject Index.".
- catalog description "This largely self-contained research monograph addresses the following type of questions. Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? Probing into these questions leads from dynamics to topology, algebra, singularity theory, and to many applications. Within a global approach, the emphasis is on periodic motions far from equilibrium. Mathematical methods include bifurcation theory, transversality theory, and generic approximations. A new homotopy invariant is designed to study the global interdependence of symmetric periodic motions. Besides mathematical techniques, the book contains 5 largely nontechnical chapters. The first three outline the main questions, results and methods. A detailed discussion pursues theoretical consequences and open problems. Results are illustrated by a variety of applications including coupled oscillators and rotating waves: these links to such disciplines as theoretical biology, chemistry, fluid dynamics, physics and their engineering counterparts make the book directly accessible to a wider audience.".
- catalog extent "viii, 144 p. :".
- catalog hasFormat "Global bifurcation of periodic solutions with symmetry.".
- catalog identifier "0387192344 (pbk. : U.S.) :".
- catalog identifier "3540192344".
- catalog isFormatOf "Global bifurcation of periodic solutions with symmetry.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1309.".
- catalog isPartOf "Lecture notes in mathematics ; 1309".
- catalog issued "1988".
- catalog issued "c1988.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Global bifurcation of periodic solutions with symmetry.".
- catalog subject "510 s 514/.74 19".
- catalog subject "Bifurcation theory.".
- catalog subject "Differential equations Numerical solutions.".
- catalog subject "Differential equations, Partial Numerical solutions.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematical physics.".
- catalog subject "Mathematics.".
- catalog subject "Nonlinear operators.".
- catalog subject "QA3 .L28 no. 1309 QA372".
- catalog subject "Singularities (Mathematics)".
- catalog tableOfContents "Contents: Introduction -- Main Results -- No Symmetry - A Survey -- Virtual Symmetry -- Generic Local Theory -- Generic Global Theory -- General Global Theory -- Applications -- Discussion -- Appendix on Genericity -- References -- Subject Index.".
- catalog title "Global bifurcation of periodic solutions with symmetry / Bernold Fiedler.".
- catalog title "Periodic solutions with symmetry.".
- catalog type "text".