CHAPTER 5. INTEGRABLE HAMILTONIAN AND CONTACT SYSTEMS
Reidemeister torsion and integrable Hamiltonian systems
... Abstract. In this paper, we compute the Reidemeister torsion of an isoenergetic surface for the integrable Hamiltonian system on the 4-dimensional symplectic manifold. We use the spectral sequence defined by ...
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On Invariant Tori of Nearly Integrable Hamiltonian Systems with Quasiperiodic Perturbation
... We are concerned with the persistence of frequency of invariant tori for analytic integrable Hamiltonian system with quasiperiodic perturbation. It is proved that if the unperturbed system satisfies the R ...
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Parabolic resonances in 3 degree of freedom near-integrable Hamiltonian systems
... 18; α1 = α2 = 0, which brings the Hamiltonian 22 to the form 25, a parabolic resonant torus of fixed points and a family of elliptic tori of periodic orbits reside on the same unperturbe[r] ...
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Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality
... Then the dynamical equation for φ, contained in the zero-curvature condition for U , V , can be either represented as a Hamiltonian integrable evolution for φ(x) along t or for φ(t) along x . This ...
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Lagrangian and Hamiltonian structures in an integrable hierarchy and space–time duality
... Then the dynamical equation for φ, contained in the zero-curvature condition for U , V , can be either represented as a Hamiltonian integrable evolution for φ(x) along t or for φ(t) along x . This ...
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Lagrangian and Hamiltonian structures in an integrable hierarchy and space–time duality
... the Hamiltonian theory of integrable systems to tackle the question of Liouville integrability for a NLEE with an integrable defect [20] ...
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From Hamiltonian to zero curvature formulation for classical integrable boundary conditions
... a Hamiltonian and a zero-curvature point of view in classical integrable systems is far from being an issue and has long been identified as one of the crucial aspect of the theory: there is a natural ...
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Ergodicity and Energy Distributions for Some Boundary Driven Integrable Hamiltonian Chains
... Driven Integrable Hamiltonian Chains Peter Balint 1 , Kevin ...consider systems of moving particles in 1-dimensional space interact- ing through energy storage ...the systems are coupled to ...
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Integrable Hamiltonian systems defined on the Lie groups SO(3) and SU(2) : an application to the attitude control of a spacecraft
... control systems on the Lie Groups SO(3) and SU (2) come from a wealth of applications in both classical and quantum control problems, see [1], [2],[3], [4] and ...their Hamiltonian lift yield the same ...
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EXAMPLES OF INTEGRABLE AND NON-INTEGRABLE SYSTEMS ON SINGULAR SYMPLECTIC MANIFOLDS
... 3.3. The planar Kepler problem and Levi-Civita coordinates. The Kepler problem has three degrees of freedom. An easy calculation shows that the angular momentum w × W is a conserved quantity. Hence the position and ...
The coupling integrable couplings of the generalized coupled Burgers equation hierarchy and its Hamiltonian structure
... of integrable nonlinear evolution equations, such as the Schroedinger equation and the KdV equation, were ...of integrable couplings was first intro- duced by Virasoro [4, ...5]. Integrable ...
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Nonlinear Super Integrable Couplings of Super Yang Hierarchy and Its Super Hamiltonian Structures
... super integrable systems associated with Lie superalgebra have aroused growing attentions by many mathematicians and ...super integrable systems contained the odd va- riables, which would ...
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Hamiltonian systems with nilpotent structures
... This chapter begins with a section in vestiga tin g the presence of nilpotent and solvable structures on a symplectic vector space extending the cla ssical Lie algebraic resu lts o f Engel and L ...
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Entanglement entropy in integrable quantum systems
... so-called integrable systems. Like the name suggests, integrable systems enjoy an infinite number of conservation laws which make the model ...such systems, various physical quantities, ...
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Lecture 2 : Quantum Integrable Systems
... Let us recall the classical picture which is at the basis of integrability. First, we are given a real phase space M of dimension 2n, which we assume for simplicity to admit global Darboux coordinates in terms of n ...
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Towards the continuous limit of cluster integrable systems
... th Hamiltonian corresponds to the sum over all possible positions on the brane tiling of n paths, subject to the constraint of not overlapping over ...cluster integrable system with a genus-1 spectral ...
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A Kaluza–Klein reduction of super-integrable systems
... the Hamiltonian do not depend upon the variable q n+1 , so p n+1 is a simple first integral (the Noether constant corresponding to a translation in the q n+1 ...
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On the massless modes of the AdS3/CFT2 integrable systems
... So at α = 0, only the p = 0 magnon is a ground-state, and all the other degenerate magnons are in fact excited states. The glut of groundstates is vastly reduced! From the above, we see that the apparent glut of ...
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Hidden Symmetries of Lax Integrable Nonlinear Systems
... dynamical systems on functional manifolds and their relationships to Lax integrability are ...Lax integrable dynamical systems by means of Lie-algebraic tools and based upon the Marsden-Weinstein ...
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Chapter 5: Energy-Tapping Pulsed Systems
... insulated contact or collecting rings, H H H’ H’, and the four line circuit-wires L connect the brushes K, bearing on these rings, to the converter in the order ...
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