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Constrained dynamics and exterior differential systems

Journal of Physics A: Mathematical and General, 1991
The Dirac analysis of constrained Hamiltonian mechanics is one of the conventional precursors to the quantization of classical systems. In this paper the analysis is reformulated in the language of exterior differential systems, starting from the Lagrangian, moving through the generation of primary and secondary constraints and leading to the ...
Hartley, D. H.   +2 more
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Differentiation of the Limit Mapping in a Dynamical System

Journal of the London Mathematical Society, 1983
On considere l'iteration d'une application f definie sur un sous-ensemble d'une variete lisse M quand l'ensemble des points fixes de f forme une sous-variete de ...
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Chemical Kinetics and Differentiable Dynamical Systems

1981
According to traditional physical views, the frequencies present in the time evolution of a system correspond to the excitation of various modes or degrees of freedom of the system. Following these views, hydrodynamical turbulence is due to the excitation of a large number of modes of a fluid which, being a continuous system, has indeed an infinite ...
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Stochastic Differential Equations as Dynamical Systems

1990
The solution of a stochastic differential equation with a given initial value defines a Markov process. Moreover, the mapping assigning to each initial value the solution at time t defines a random diffeomorphism, and the family of these diffeomorphisms for t ∈ IR forms a cocycle (flow) over the Wiener space.
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Differential Geometry Applied to Dynamical Systems

2009
Differential Equations Hartman-Grobman Theorem Liapounoff Stability Theorem Phase Portraits Poincare-Bendixson Theorem Attractors Strange Attractors Hamiltonian and Integrable Systems K A M Theorem Invariant Sets Global/Local Invariance Center Manifold Theorem Normal Form Theorem Local Bifurcations of Codimension 1 Hopf Bifurcation, Slow-Fast Dynamical
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