Continuous Flows in the Plane

The Bibliography for Topological Dyna mics by Gottschalk contains 1634 entries in the 1969 edition, and progress in the field since then has been even more prodigious.

Continuous Flows in the Plane

Topological Dynamics has its roots deep in the theory of differential equations, specifically in that portion called the "qualitative theory". The most notable early work was that of Poincare and Bendixson, regarding stability of solutions of differential equations, and the subject has grown around this nucleus. It has developed now to a point where it is fully capable of standing on its own feet as a branch of Mathematics studied for its intrinsic interest and beauty, and since the publication of Topological Dynamics by Gottschalk and Hedlund, it has been the subject of widespread study in its own right, as well as for the light it sheds on differential equations. The Bibliography for Topological Dyna mics by Gottschalk contains 1634 entries in the 1969 edition, and progress in the field since then has been even more prodigious. The study of dynamical systems is an idealization of the physical studies bearing such names as aerodynamics, hydrodynamics, electrodynamics, etc. We begin with some space (call it X) and we imagine in this space some sort of idealized particles which change position as time passes.

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Continuous Flows in the Plane
Language: en
Pages: 464
Authors: A. Beck
Categories: Mathematics
Type: BOOK - Published: 2012-01-28 - Publisher: Springer

Topological Dynamics has its roots deep in the theory of differential equations, specifically in that portion called the "qualitative theory". The most notable early work was that of Poincare and Bendixson, regarding stability of solutions of differential equations, and the subject has grown around this nucleus. It has developed now
Continuous Flows in the Plane
Language: en
Pages: 464
Authors: A. Beck
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

Topological Dynamics has its roots deep in the theory of differential equations, specifically in that portion called the "qualitative theory". The most notable early work was that of Poincare and Bendixson, regarding stability of solutions of differential equations, and the subject has grown around this nucleus. It has developed now
Continuous Flows in the Plane
Language: en
Pages: 462
Authors: Anatole Beck, Jonathan Lewin, Mirit Lewin
Categories: Differential equations
Type: BOOK - Published: 1974 - Publisher:

Books about Continuous Flows in the Plane
Continuous flows in the plane
Language: de
Pages: 462
Authors: Anatole Beck
Categories: Differential equations
Type: BOOK - Published: 1974 - Publisher:

Books about Continuous flows in the plane
Traffic and Granular Flow ’99
Language: en
Pages: 522
Authors: D. Helbing, H.J. Herrmann, M. Schreckenberg, D.E. Wolf
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

"Are there common phenomena and laws in the dynamic behavior of granular materials, traffic, and socio-economic systems?" The answers given at the international workshop "Traffic and Granular Flow '99" are presented in this volume. From a physical standpoint, all these systems can be treated as (self)-driven many-particle systems with strong