Results 11 to 20 of about 748,632 (287)
Our review is devoted to Lie-algebraic structures and integrability properties of an interesting class of nonlinear dynamical systems called the dispersionless heavenly equations, which were initiated by Plebanski and later analyzed in a series of ...
Anatolij Prykarpatski+3 more
doaj +1 more source
Formulation of Stochastic Contact Hamiltonian Systems [PDF]
In this work we devise a stochastic version of contact Hamiltonian systems, and show that the phase flows of these systems preserve contact structures. Moreover, we provide a sufficient condition under which these stochastic contact Hamiltonian systems are completely integrable.
arxiv +1 more source
Stationary Solutions of Liouville Equations for Non-Hamiltonian Systems [PDF]
We consider the class of non-Hamiltonian and dissipative statistical systems with distributions that are determined by the Hamiltonian. The distributions are derived analytically as stationary solutions of the Liouville equation for non-Hamiltonian systems.
arxiv +1 more source
Existence and non-existence of solutions to a Hamiltonian strongly degenerate elliptic system
We study the non-existence and existence of infinitely many solutions to the semilinear degenerate elliptic ...
Anh Cung The, My Bui Kim
doaj +1 more source
Finding the closed-form solutions of dissipative oscillatory systems
This paper shows how to use the approximate Hamiltonian approach for the non-conservative system not capable of possessing Hamiltonian. Using the approximate Hamiltonian method for a non-conservative system is not possible in general. We propose a way to
Saba Irum, Imran Naeem
doaj +1 more source
Symplecticity of coupled Hamiltonian systems [PDF]
We derived a condition under which a coupled system consisting of two finite-dimensional Hamiltonian systems becomes a Hamiltonian system. In many cases, an industrial system can be modeled as a coupled system of some subsystems. Although it is known that symplectic integrators are suitable for discretizing Hamiltonian systems,the composition of ...
arxiv
On the integrable deformations of a system related to the motion of two vortices in an ideal incompressible fluid [PDF]
Altering the first integrals of an integrable system integrable deformations of the given system are obtained. These integrable deformations are also integrable systems, and they generalize the initial system.
Lăzureanu Cristian+2 more
doaj +1 more source
A current value Hamiltonian Approach for Discrete time Optimal Control Problems arising in Economic Growth [PDF]
Pontrygin-type maximum principle is extended for the present value Hamiltonian systems and current value Hamiltonian systems of nonlinear difference equations for uniform time step $h$. A new method termed as a discrete time current value Hamiltonian method is established for the construction of first integrals for current value Hamiltonian systems of ...
arxiv +1 more source
Cu–Au nanoparticles produced by the aggregation of gas‐phase metal atoms for CO oxidation
The aggregation of gas‐phase Cu and Au atoms into Cu–Au nanoparticles with non‐equilibrium structures and compositions is studied using molecular dynamics. Density functional calculations reveal the significant effect of the structure of the obtained realistic models of Cu–Au nanoparticles on their CO and O binding properties as well as their CO ...
Ilya V. Chepkasov+5 more
wiley +1 more source
An Organic Molecular Nanobarrel that Hosts and Solubilizes C60
A new trigonal prismatic organic nanobarrel with two large triangular windows and a diameter of 12.7 Å has been synthesized that is optimal for the encapsulation of C60. Remarkably, this organic nanobarrel shows a high affinity for C60 in solvents in which C60 is virtually insoluble, and results in stable solutions of C60.
Saibal Bera+3 more
wiley +2 more sources