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Applications of Centre Manifold Theory - Jack Carr
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Jack Carr:

Applications of Centre Manifold Theory - Taschenbuch

ISBN: 9780387905778

ID: 9780387905778

These notes are based on a series of lectures given in the Lefschetz Center for Dynamical Systems in the Division of Applied Mathematics at Brown University during the academic year 1978-79. The purpose of the lectures was to give an introduction to the applications of centre manifold theory to differential equations. Most of the material is presented in an informal fashion, by means of worked examples in the hope that this clarifies the use of centre manifold theory. The main application of centre manifold theory given in these notes is to dynamic bifurcation theory. Dynamic bifurcation theory is concerned with topological changes in the nature of the solutions of differential equations as para meters are varied. Such an example is the creation of periodic orbits from an equilibrium point as a parameter crosses a critical value. In certain circumstances, the application of centre manifold theory reduces the dimension of the system under investigation. In this respect the centre manifold theory plays the same role for dynamic problems as the Liapunov-Schmitt procedure plays for the analysis of static solutions. Our use of centre manifold theory in bifurcation problems follows that of Ruelle and Takens [57) and of Marsden and McCracken [51). Applications of Centre Manifold Theory: These notes are based on a series of lectures given in the Lefschetz Center for Dynamical Systems in the Division of Applied Mathematics at Brown University during the academic year 1978-79. The purpose of the lectures was to give an introduction to the applications of centre manifold theory to differential equations. Most of the material is presented in an informal fashion, by means of worked examples in the hope that this clarifies the use of centre manifold theory. The main application of centre manifold theory given in these notes is to dynamic bifurcation theory. Dynamic bifurcation theory is concerned with topological changes in the nature of the solutions of differential equations as para meters are varied. Such an example is the creation of periodic orbits from an equilibrium point as a parameter crosses a critical value. In certain circumstances, the application of centre manifold theory reduces the dimension of the system under investigation. In this respect the centre manifold theory plays the same role for dynamic problems as the Liapunov-Schmitt procedure plays for the analysis of static solutions. Our use of centre manifold theory in bifurcation problems follows that of Ruelle and Takens [57) and of Marsden and McCracken [51)., Springer

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Applied Mathematical Sciences: Applications of Centre Manifold Theory
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Applied Mathematical Sciences: Applications of Centre Manifold Theory - Taschenbuch

1981, ISBN: 9780387905778

[ED: Taschenbuch / Paperback], [PU: Springer, Berlin], AUSFÜHRLICHERE BESCHREIBUNG: These notes are based on a series of lectures given in the Lefschetz Center for Dynamical Systems in the Division of Applied Mathematics at Brown University during the academic year 1978-79. The purpose of the lectures was to give an introduction to the applications of centre manifold theory to differential equations. Most of the material is presented in an informal fashion, by means of worked examples in the hope that this clarifies the use of centre manifold theory. The main application of centre manifold theory given in these notes is to dynamic bifurcation theory. Dynamic bifurcation theory is concerned with topological changes in the nature of the solutions of differential equations as para meters are varied. Such an example is the creation of periodic orbits from an equilibrium point as a parameter crosses a critical value. In certain circumstances, the application of centre manifold theory reduces the dimension of the system under investigation. In this respect the centre manifold theory plays the same role for dynamic problems as the Liapunov-Schmitt procedure plays for the analysis of static solutions. Our use of centre manifold theory in bifurcation problems follows that of Ruelle and Takens [57) and of Marsden and McCracken [51). INHALT: 0.- 4.5. The Case ?1 0.- 4.6. More Scaling.- 4.7. Completion of the Phase Portraits.- 4.8. Remarks and Exercises.- 4.9. Quadratic Nonlinearities.- 5. Application to a Panel Flutter Problem.- 5.1. Introduction.- 5.2. Reduction to a Second Order Equation.- 5.3. Calculation of Linear Terms.- 5.4. Calculation of the Nonlinear Terms.- 6. Infinite Dimensional Problems.- 6.1. Introduction.- 6.2. Semigroup Theory.- 6.3. Centre Manifolds.- 6.4. Examples.- References., [SC: 0.00], Neuware, gewerbliches Angebot, H: 235mm, B: 155mm, T: 8mm, [GW: 236g]

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Applications of Centre Manifold Theory (Applied Mathematical Sciences) - Jack Carr
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Jack Carr:
Applications of Centre Manifold Theory (Applied Mathematical Sciences) - gebrauchtes Buch

1978

ISBN: 0387905774

ID: 5289528

These notes are based on a series of lectures given in the Lefschetz Center for Dynamical Systems in the Division of Applied Mathematics at Brown University during the academic year 1978-79. The purpose of the lectures was to give an introduction to the applications of centre manifold theory to differential equations. Most of the material is presented in an informal fashion, by means of worked examples in the hope that this clarifies the use of centre manifold theory. The main application of centre manifold theory given in these notes is to dynamic bifurcation theory. Dynamic bifurcation theory is concerned with topological changes in the nature of the solutions of differential equations as para- meters are varied. Such an example is the creation of periodic orbits from an equilibrium point as a parameter crosses a critical value. In certain circumstances, the application of centre manifold theory reduces the dimension of the system under investigation. In this respect the centre manifold theory plays the same role for dynamic problems as the Liapunov-Schmitt procedure plays for the analysis of static solutions. Our use of centre manifold theory in bifurcation problems follows that of Ruelle and Takens [57) and of Marsden and McCracken [51). geometry,mathematics,science and math,science and math,textbooks Mathematics, Springer

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Applications of Centre Manifold Theory - Jack Carr
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Jack Carr:
Applications of Centre Manifold Theory - neues Buch

ISBN: 9780387905778

ID: f2c6ab13ba4f1a962455dcb39bed37e1

These notes are based on a series of lectures given in the Lefschetz Center for Dynamical Systems in the Division of Applied Mathematics at Brown University during the academic year 1978-79. The purpose of the lectures was to give an introduction to the applications of centre manifold theory to differential equations. Most of the material is presented in an informal fashion, by means of worked examples in the hope that this clarifies the use of centre manifold theory. The main application of centre manifold theory given in these notes is to dynamic bifurcation theory. Dynamic bifurcation theory is concerned with topological changes in the nature of the solutions of differential equations as para meters are varied. Such an example is the creation of periodic orbits from an equilibrium point as a parameter crosses a critical value. In certain circumstances, the application of centre manifold theory reduces the dimension of the system under investigation. In this respect the centre manifold theory plays the same role for dynamic problems as the Liapunov-Schmitt procedure plays for the analysis of static solutions. Our use of centre manifold theory in bifurcation problems follows that of Ruelle and Takens [57) and of Marsden and McCracken [51). Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik / Geometrie, [PU: Springer]

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Applications of Centre Manifold Theory - J. Carr
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J. Carr:
Applications of Centre Manifold Theory - Taschenbuch

1981, ISBN: 9780387905778

ID: 923537

Softcover, Buch, [PU: Springer-Verlag New York Inc.]

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Applications of Centre Manifold Theory
Autor:

Carr, J.

Titel:

Applications of Centre Manifold Theory

ISBN-Nummer:

9780387905778

Detailangaben zum Buch - Applications of Centre Manifold Theory


EAN (ISBN-13): 9780387905778
ISBN (ISBN-10): 0387905774
Taschenbuch
Erscheinungsjahr: 2007
Herausgeber: Springer-Verlag GmbH
172 Seiten
Gewicht: 0,267 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 05.12.2007 17:25:03
Buch zuletzt gefunden am 25.09.2016 10:13:11
ISBN/EAN: 9780387905778

ISBN - alternative Schreibweisen:
0-387-90577-4, 978-0-387-90577-8

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