Results 21 to 30 of about 1,559,486 (311)
Second order systems with nonlinear nonlocal boundary conditions
This paper is concerned with the second order differential equation with not necessarily linear nonlocal boundary condition. The existence of solutions is obtained using the properties of the Leray–Schauder degree. The results generalize and improve some
Jean Mawhin +2 more
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Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]
We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre +5 more
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Periodic solutions of second-order nonautonomous dynamical systems
We study the existence of periodic solutions for second-order nonautonomous dynamical systems. We give four sets of hypotheses which guarantee the existence of solutions.
Martin Schechter
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Linearized Transfer Entropy for Continuous Second Order Systems
The transfer entropy has proven a useful measure of coupling among components of a dynamical system. This measure effectively captures the influence of one system component on the transition probabilities (dynamics) of another.
Jonathan M. Nichols +2 more
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Discretization of Second-Order Variational Systems [PDF]
The existence of periodic orbits of the discretization of second-order variational systems is studied both for varying step of discretization and for a fixed small one.
openaire +3 more sources
OPTIMAL CONTROL ALGORITHMS FOR SECOND ORDER SYSTEMS [PDF]
Proportional Integral Derivative (PID) controllers are widely used in industrial processes for their s implicity and robustness. The main application problems are t he tuning of PID parameters to obtain good settling time, rise time and overshoot. The challenge is to improve the timing parameters to achieve optimal co ntrol performances.
PELUSI, DANILO, MASCELLA, RAFFAELE
openaire +3 more sources
On Sturmian theory for second order systems [PDF]
A generalization of the Sturm Comparison Theorem is given to nonselfadjoint second order linear systems. In addition, a theorem, involving the existence of a solution with strictly positive components, is proven. Counterexamples are given to show that the theorems are false without the stated assumptions.
openaire +1 more source
Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials
The structure theory for the quadratic algebra generated by first and second order constants of the motion for 2D second order superintegrable systems with nondegenerate (3-parameter) and or 2-parameter potentials is well understood, but the results for ...
Willard Miller Jr. +7 more
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Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D
There are 13 equivalence classes of 2D second order quantum and classical superintegrable systems with nontrivial potential, each associated with a quadratic algebra of hidden symmetries.
Willard Miller Jr. +5 more
core +1 more source
Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems [PDF]
The classical Kepler-Coulomb system in 3 dimensions is well known to be 2nd order superintegrable, with a symmetry algebra that closes polynomially under Poisson brackets. This polynomial closure is typical for 2nd order superintegrable systems in 2D and
Willard Miller Jr. +5 more
core +1 more source

