Results 1 to 10 of about 324,196 (280)

Maximum principle for a stochastic delayed system involving terminal state constraints [PDF]

Journal of Inequalities and Applications, 2017
We investigate a stochastic optimal control problem where the controlled system is depicted as a stochastic differential delayed equation; however, at the terminal time, the state is constrained in a convex set.
Jiaqiang Wen, Yufeng Shi
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On point-dissipative systems of differential equations with quadratic nonlinearity [PDF]

International Journal of Mathematics and Mathematical Sciences, 1991
The system x′=Ax+f(x) of nonlinear vector differential equations, where the nonlinear term f(x) is quadratic with orthogonality property xTf(x)=0 for all x, is point-dissipative if ...
Anile K. Bose, Alan S. Cover, James A. Reneke   +2 more
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Bifurcations of the Riccati Quadratic Polynomial Differential Systems [PDF]

International Journal of Bifurcation and Chaos, 2021
In this paper, we characterize the global phase portrait of the Riccati quadratic polynomial differential system [Formula: see text] with [Formula: see text], [Formula: see text] nonzero (otherwise the system is a Bernoulli differential system), [Formula: see text] (otherwise the system is a Liénard differential system), [Formula: see text] a ...
Jaume Llibre, Bruno D. Lopes, Paulo R. da Silva   +2 more
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Algebraic limit cycles for quadratic polynomial differential systems [PDF]

Discrete & Continuous Dynamical Systems - B, 2018
AbstractAlgebraic limit cycles in quadratic polynomial differential systems started to be studied in 1958, and a few years later the following conjecture appeared: quadratic polynomial differential systems have at most one algebraic limit cycle. We prove that a quadratic polynomial differential system having an invariant algebraic curve with at most ...
Llibre, Jaume, Valls, Clàudia
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Geometry, integrability and bifurcation diagrams of a family of quadratic differential systems as application of the Darboux theory of integrability

Electronic Journal of Qualitative Theory of Differential Equations, 2021
During the last forty years the theory of integrability of Darboux, in terms of algebraic invariant curves of polynomial systems has been very much extended and it is now an active area of research.
Regilene Oliveira, Dana Schlomiuk, Ana Maria Travaglini, Claudia Valls   +3 more
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Structurally unstable quadratic vector fields of codimension two: families possessing a finite saddle-node and an infinite saddle-node

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In 1998, Artés, Kooij and Llibre proved that there exist 44 structurally stable topologically distinct phase portraits modulo limit cycles, and in 2018 Artés, Llibre and Rezende showed the existence of at least 204 (at most 211) structurally unstable ...
Joan Artés, Marcos Mota, Alex Rezende
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Analytic integrability of quadratic–linear polynomial differential systems [PDF]

Ergodic Theory and Dynamical Systems, 2009
AbstractFor the quadratic–linear polynomial differential systems with a finite singular point, we classify the ones which have a global analytic first integral, and provide the explicit expression of their first integrals.
Llibre, Jaume, Valls, Clàudia
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Fundamental response in the vibration control of buildings subject to seismic excitation with ATMD

Selecciones Matemáticas, 2023
The linear quadratic regulator for vibration systems subject to seismic excitations is discussed in his own physical newtonian space as a second-order linear differential system with matrix coefficients.
Fidel Jara Huanca, Obidio Rubio Mercedes, Julio Ruiz Claeyssen   +2 more
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Phase portraits of Bernoulli quadratic polynomial differential systems

Electronic Journal of Differential Equations, 2020
In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincare disk of Bernoulli quadratic polynomial differential systems in R^2. For more information see https://ejde.math.txstate.edu/Volumes/2020/48/abstr ...
Llibre, Jaume, Pereira, Weber F., Pessoa, Claudio   +2 more
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Adaptive Control of Differentially Private Linear Quadratic Systems [PDF]

2021 IEEE International Symposium on Information Theory (ISIT), 2021
In this paper, we study the problem of regret minimization in reinforcement learning (RL) under differential privacy constraints. This work is motivated by the wide range of RL applications for providing personalized service, where privacy concerns are becoming paramount.
Chowdhury, Sayak Ray, Zhou, Xingyu, Shroff, Ness   +2 more
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