Quadratic invariants for discrete clusters of weakly interacting waves [PDF]
We consider discrete clusters of quasi-resonant triads arising from a Hamiltonian three-wave equation. A cluster consists of N modes forming a total of M connected triads.
Nazarenko, Sergey +3 more
core +1 more source
Bargmann Type Systems for the Generalization of Toda Lattices
Under a constraint between the potentials and eigenfunctions, the nonlinearization of the Lax pairs associated with the discrete hierarchy of a generalization of the Toda lattice equation is proposed, which leads to a new symplectic map and a class of ...
Fang Li, Liping Lu
doaj +1 more source
Conflict-preserving abstraction of discrete event systems using annotated automata [PDF]
This paper proposes to enhance compositional verification of the nonblocking property of discrete event systems by introducing annotated automata. Annotations store nondeterministic branching information, which would otherwise be stored in extra states ...
Malik, Robi, Ware, Simon
core +1 more source
Energy-Preserving AVF Methods for Riesz Space-Fractional Nonlinear KGZ and KGS Equations
The Riesz space-fractional derivative is discretized by the Fourier pseudo-spectral (FPS) method. The Riesz space-fractional nonlinear Klein–Gordon–Zakharov (KGZ) and Klein–Gordon–Schrödinger (KGS) equations are transformed into two infinite-dimensional ...
Jianqiang Sun, Siqi Yang, Lijuan Zhang
doaj +1 more source
This paper is concerned with practical fixed-time (FT) stabilization problem of discretetime impulsive switched port-controlled Hamiltonian systems (DISPCH).
Xiangyu Chen +3 more
doaj +1 more source
Subharmonics with Minimal Periods for Convex Discrete Hamiltonian Systems
We consider the subharmonics with minimal periods for convex discrete Hamiltonian systems. By using variational methods and dual functional, we obtain that the system has a -periodic solution for each positive integer , and solution of system has minimal
Honghua Bin
doaj +1 more source
Symmetry-protected exceptional and nodal points in non-Hermitian systems
One of the unique features of non-Hermitian (NH) systems is the appearance of NH degeneracies known as exceptional points (EPs). The extensively studied defective EPs occur when the Hamiltonian becomes non-diagonalizable.
Sharareh Sayyad, Marcus Stålhammar, Lukas Rødland, Flore K. Kunst
doaj +1 more source
On the role of invariants for the parameter estimation problem in Hamiltonian systems [PDF]
Baake M, Baake E, Eich E. On the role of invariants for the parameter estimation problem in Hamiltonian systems. Physics letters. 1993;180(1-2):74-82.The parameter estimation problem is discussed for differential equations that describe a Hamiltonian ...
Baake, Michael, Baake, Ellen, Eich, E.
core +1 more source
Equivariant singularity theory with distinguished parameters: Two case studies of resonant Hamiltonian systems [PDF]
We consider Hamiltonian systems near equilibrium that can be (formally) reduced to one degree of freedom. Spatio-temporal symmetries play a key role. The planar reduction is studied by equivariant singularity theory with distinguished parameters.
Vegter, G +15 more
core +1 more source
Symmetry group analysis and invariant solutions of hydrodynamic-type systems
We study point and higher symmetries of systems of the hydrodynamic type with and without an explicit dependence on t,x. We consider such systems which satisfy the existence conditions for an infinite-dimensional group of hydrodynamic symmetries which ...
M. B. Sheftel
doaj +1 more source

