Andere Kunden interessierten sich auch für
![Singularity Theory and Equivariant Symplectic Maps]( "Singularity Theory and Equivariant Symplectic Maps")
Singularity Theory and Equivariant Symplectic Maps35,99 €![Computer Algebra Methods for Equivariant Dynamical Systems]( "Computer Algebra Methods for Equivariant Dynamical Systems")
Computer Algebra Methods for Equivariant Dynamical Systems27,99 €![Bifurcations and Periodic Orbits of Vector Fields]( "Bifurcations and Periodic Orbits of Vector Fields")
Bifurcations and Periodic Orbits of Vector Fields231,99 €![Bifurcations and Periodic Orbits of Vector Fields]( "Bifurcations and Periodic Orbits of Vector Fields")
Bifurcations and Periodic Orbits of Vector Fields231,99 €![Nearly Integrable Infinite-Dimensional Hamiltonian Systems]( "Nearly Integrable Infinite-Dimensional Hamiltonian Systems")
Nearly Integrable Infinite-Dimensional Hamiltonian Systems20,99 €![Introduction to the Perturbation Theory of Hamiltonian Systems]( "Introduction to the Perturbation Theory of Hamiltonian Systems")
Introduction to the Perturbation Theory of Hamiltonian Systems74,99 €![Introduction to the Perturbation Theory of Hamiltonian Systems]( "Introduction to the Perturbation Theory of Hamiltonian Systems")
Introduction to the Perturbation Theory of Hamiltonian Systems74,99 €
The authors consider applications of singularity theory and computer algebra to bifurcations of Hamiltonian dynamical systems. They restrict themselves to the case were the following simplification is possible. Near the equilibrium or (quasi-) periodic solution under consideration the linear part allows approximation by a normalized Hamiltonian system with a torus symmetry. It is assumed that reduction by this symmetry leads to a system with one degree of freedom. The volume focuses on two such reduction methods, the planar reduction (or polar coordinates) method and the reduction by the energy momentum mapping. The one-degree-of-freedom system then is tackled by singularity theory, where computer algebra, in particular, Gröbner basis techniques, are applied. The readership addressed consists of advanced graduate students and researchers in dynamical systems.