Hamiltonian for the system
Singular potential Hamiltonian system
... Full list of author information is available at the end of the article Abstract We investigate multiple solutions for the Hamiltonian system with singular potential nonlinearity and periodic condition. We ...
10
Hamiltonian Mechanical System with Split Quaternions
... are Hamiltonian equations of ...The Hamiltonian formulations of mechanics are also notable for the fact that they express the laws of mechanics without reference to any particular coordinate system ...
9
Real Eigenvalue of a Non Hermitian Hamiltonian System
... (complex) Hamiltonian system, we investigate the quasi-exact symmetric solutions for an octic potential and its variant using extended complex phase space approach characterized ...
7
CANONICALIZATION OF CONSTRAINED HAMILTONIAN EQUATIONS IN A SINGULAR SYSTEM
... In this paper, the canonicalization of constrained Hamiltonian system is discussed. Because the constrained Hamiltonian equations are non-canonical, they lead to many limitations in the research. For ...
11
Existence of Four Solutions of Some Nonlinear Hamiltonian System
... Recommended by Kanishka Perera We show the existence of four 2π-periodic solutions of the nonlinear Hamiltonian system with some conditions. We prove this problem by investigating the geometry of the ...
17
At least three solutions for the Hamiltonian system and reduction method
... Full list of author information is available at the end of the article Abstract We investigate the multiplicity of solutions for the Hamiltonian system with some asymptotically linear conditions. We get a ...
11
Any Hamiltonian System Is Locally Equivalent to a Free Particle
... the Hamiltonian. In particular, this result implies that for any Hamiltonian system there must exist a local transforma- tion that allows to “transfer” the potential energy into the kinetic energy ...
7
Limit cycles for perturbing Hamiltonian system inside piecewise smooth polynomial differential system
... Abstract In this paper, we obtain the first-order Melnikov function of piecewise smooth polynomial perturbation of a Hamiltonian system. As application, we consider the number of limit cycles for perturbing ...
8
A Modern method of LFC in Multi Area Power System with Cascade and Port-Hamiltonian System
... power system, such as, the electric vehicles, renewable and sustainable energy, and time and so ...(LFC) system fail to decouple the total tie-line power ...LFC system have been carefully studied, ...
12
Existence of nonconstant periodic solutions for \(p(t)\)-Laplacian Hamiltonian system
... The purpose of this paper is to consider the existence of periodic solutions for the p(t)-Laplacian Hamiltonian system. Some results are obtained by using the least action principle and the minimax methods. ...
13
A New Control Method for the Multi Area LFC System Based on Port Hamiltonian and Cascade System
... (PH) system and cascade system that is proposed to design some PID control laws for the multi-area LFC system successfully works out the aforementioned ...LFC system, the proposed method has ...
6
Fourth order Hamiltonian system with some singular nonlinear term and multiplicity result
... Full list of author information is available at the end of the article Abstract We consider a fourth order Hamiltonian system with some singular nonlinear term and multiplicity result. We get two theorems ...
12
Existence and multiplicity of weak quasi periodic solutions for second order Hamiltonian system
... It is well known that the variational method is a very effective tool for investigating the existence and multiplicity of various solutions of Hamiltonian system. Lots of mathe- maticians have constructed ...
19
Homoclinic solutions for Hamiltonian system with impulsive effects
... Abstract In this article, we investigate a class of impulsive Hamiltonian systems with a p-Laplacian operator. By establishing a series of new sufficient conditions, the existence of homoclinic solutions to such ...
12
A structured approach to a perturbation of hamiltonian system with periodic coefficients
... This paper deals with a structured approach to a perturbation of Hamiltonian systems with periodic coefficients. From a perturbation theory proposed by T.G.Y. Arouna, et al., a certain type of perturbation of ...
11
Solvability of a second-order Hamiltonian system with impulsive effects
... By using critical point theory, we obtain some existence theorems of solutions for the nonlinear impulsive problem.. (.).[r] ...
17
Dynamical order in chaotic Hamiltonian system with many degrees of freedom
... By presenting some examples where spatial structure are created from dynamics, we will search for methods and concepts to under- stand the dynamical origin of spatial structures... Part [r] ...
38
New conditions on homoclinic solutions for a subquadratic second order Hamiltonian system
... (.) is bounded from below, techniques based on the genus properties have been well applied. In particular, Clark’s theorem is an effective tool to prove the existence and mul- tiplicity of homoclinic solutions for ...
17
An extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system
... a non-algebraic Hamiltonian function. Our main result asserts that E is an extended complete Chebyshev space for h ∈ (0, 1 2 ). To this end, we use the criterion and tools developed by Grau et al. in [5] to ...
10
Port-Hamiltonian Systems:
... • Favache Audrey and Dochain Denis, “Power-shaping control of reaction systems: the CSTR case study”, to appear in Automatica, 2010. • R. Ortega, A.J. van der Schaft, F. Castanos and A. Astolfi, “Control by ...
13