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[کتاب][B] Local and semi-local bifurcations in Hamiltonian dynamical systems: results and examples
H Hanßmann - 2006 - books.google.com
Once again KAM theory is committed in the context of nearly integrable Hamiltonian
systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori …
systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori …
[کتاب][B] Metamorphoses of Hamiltonian systems with symmetries
K Efstathiou - 2005 - books.google.com
Modern notions and important tools of classical mechanics are used in the study of concrete
examples that model physically significant molecular and atomic systems. The parametric …
examples that model physically significant molecular and atomic systems. The parametric …
Normalization and global analysis of perturbations of the hydrogen atom
The hydrogen atom perturbed by sufficiently small homogeneous static electric and
magnetic fields of arbitrary mutual alignment is a specific perturbation of the Kepler system …
magnetic fields of arbitrary mutual alignment is a specific perturbation of the Kepler system …
KAM theory: Quasi-periodicity in dynamical systems
Kolmogorov–Arnold–Moser (or KAM) Theory was developed for conservative (Hamiltonian)
dynamical systems that are nearly integrable. Integrable systems in their phase space …
dynamical systems that are nearly integrable. Integrable systems in their phase space …
The quasi-periodic reversible Hopf bifurcation
We consider the perturbed quasi-periodic dynamics of a family of reversible systems with
normally 1: 1 resonant invariant tori. We focus on the generic quasi-periodic reversible Hopf …
normally 1: 1 resonant invariant tori. We focus on the generic quasi-periodic reversible Hopf …
[کتاب][B] Semitoric families
Y Le Floch, J Palmer - 2024 - ams.org
Semitoric systems are a type of four-dimensional integrable system for which one of the
integrals generates a global S1-action; these systems were classified by Pelayo and Vu …
integrals generates a global S1-action; these systems were classified by Pelayo and Vu …
Hamiltonian systems with detuned 1: 1: 2 resonance: Manifestation of bidromy
We consider a generalization of the 1: 1: 2 resonant swing–spring [see H. Dullin, A.
Giacobbe, RH Cushman, Physica D 190 (2004) 15] which is suggested both by the …
Giacobbe, RH Cushman, Physica D 190 (2004) 15] which is suggested both by the …
Quantum monodromy and molecular spectroscopy
MS Child - Advances in Chemical Physics, 2007 - Wiley Online Library
Quantum monodromy and molecular spectroscopy Page 45 QUANTUM MONODROMY AND
MOLECULAR SPECTROSCOPY MARK S. CHILD Physical and Theoretical Chemistry …
MOLECULAR SPECTROSCOPY MARK S. CHILD Physical and Theoretical Chemistry …
The quasi-periodic Hamiltonian Hopf bifurcation
We consider the quasi-periodic dynamics of non-integrable perturbations of a family of
integrable Hamiltonian systems with normally 1:− 1 resonant invariant tori. In particular, we …
integrable Hamiltonian systems with normally 1:− 1 resonant invariant tori. In particular, we …
Quantum monodromy and its generalizations and molecular manifestations
Quantum monodromy is a non-trivial qualitative characteristic of certain non-regular lattices
formed by the joint eigenvalue spectrum of mutually commuting operators. The latter are …
formed by the joint eigenvalue spectrum of mutually commuting operators. The latter are …