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Existence of solutions for superquadratic or asymptotically quadratic fractional Hamiltonian systems
In this paper, we are concerned with a class of periodic fractional Hamiltonian systems when the Hamiltonian is superquadratic not satisfying the...
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The difference between port-Hamiltonian, passive and positive real descriptor systems
The relation between passive and positive real systems has been extensively studied in the literature. In this paper, we study their connection to...
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Homoclinic Solutions Near the Origin for a Class of First Order Hamiltonian Systems
In this paper, we study the existence of infinitely many homoclinic solutions for a class of first order Hamiltonian systems ż = J H z ( t, z ), where...
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Cuplength estimates for time-periodic measures of Hamiltonian systems with diffusion
We show how methods from Hamiltonian Floer theory can be used to establish lower bounds for the number of different time-periodic measures of...
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Integrals of Circulatory Systems Which are Quadratic in Momenta
This paper addresses the problem of conditions for the existence of conservation laws (first integrals) of circulatory systems which are quadratic in...
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Ground States for DNLS Equation with Periodic or Asymptotically Periodic Potential
We study the existence of ground state solutions for a class of discrete nonlinear Schrödinger equation with a sign-changing potential which is...
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Normal Forms for Hamiltonian Systems in Some Nilpotent Cases
We study Hamiltonian systems with two degrees of freedom near an equilibrium point, when the linearized system is not semisimple. The invariants of...
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Multiplicity of Periodic Solutions for Second Order Hamiltonian Systems with Asymptotically Quadratic Conditions
A class of second order non-autonomous Hamiltonian systems with asymptotically quadratic conditions is considered in this paper. Using Fountain...
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New Homoclinic Orbits for Hamiltonian Systems with Asymptotically Quadratic Growth at Infinity
In this paper, we study the existence and multiplicity of homoclinic solutions for following Hamiltonian systems with asymptotically quadratic...
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Nonlinear Feedback, Double-bracket Dissipation and Port Control of Lie–Poisson Systems
Methods from controlled Lagrangians, double-bracket dissipation and interconnection and dam** assignment–passivity-based control (IDA-PBC) are used...
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Cuplength estimates for periodic solutions of Hamiltonian particle-field systems
We consider a natural class of time-periodic infinite-dimensional nonlinear Hamiltonian systems modelling the interaction of a classical mechanical...
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Linear Quadratic Control
Optimal control theory took shape in the late 1950s, among others stimulated by the space programs in the Soviet Union and the USA. At about the same...
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Index theory and multiple solutions for asymptotically linear second-order delay differential equations
This paper is concerned with the existence of periodic solutions for asymptotically linear second-order delay differential equations. We will...
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Multiplicity of Homoclinic Solutions for Second Order Hamiltonian Systems with Local Conditions at the Origin
In this paper, the multiplicity of homoclinic solutions for second order non-autonomous Hamiltonian systems ü ( t ) − L ( t ) u ( t ) + ∇ u W ( t, u ( t )) = 0 is...
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First Approximation Formulas in the Problem of Perturbation of Definite and Indefinite Multipliers of Linear Hamiltonian Systems
AbstractNew formulas of the first approximation are proposed in the problem of perturbing definite and indefinite multipliers of linear periodic...
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Calculation of a Strong Resonance Condition in a Hamiltonian System
AbstractA method for symbolic computation of a condition of existence of a third- and fourth-order resonance for investigations of formal stability...
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Passivity Techniques and Hamiltonian Structures in Discrete Time
The object of this paper is to show the impact of representing discrete-time dynamics as two coupled difference/differential equations in...