Results 31 to 40 of about 324,196 (280)
Homoclinic solutions for a class of non-periodic second order Hamiltonian systems
Electronic Journal of Qualitative Theory of Differential Equations, 2010 We study the existence of homoclinic solutions for the second order Hamiltonian system $\ddot{u}+V_{u}(t,u)=f(t)$. Let $V(t,u)=-K(t,u)+W(t,u)\in C^{1}(\mathbb{R}\times\mathbb{R}^{n}, \mathbb{R})$ be $T$-periodic in $t$, where $K$ is a quadratic growth ...
Jian Ding, Junxiang Xu, Fubao Zhang
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Numerical Computation of Takens-Bogdanov Points for Delay Differential Equations
, 2012 The paper presents a numerical technique for computing directly the Takens-Bogdanov points in the nonlinear system of differential equations with one constant delay and two parameters. By representing the delay differential equations as abstract ordinary
Mabonzo, Vital D., Xu, Yingxiang
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Constructing Involutive Tableaux with Guillemin Normal Form [PDF]
, 2015 Involutivity is the algebraic property that guarantees solutions to an analytic and torsion-free exterior differential system or partial differential equation via the Cartan-K\"ahler theorem. Guillemin normal form establishes that the prolonged symbol of
Smith, Abraham D.
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IEEE AccessAiming at the objective uncertainty, subjective uncertainty, and extreme events may be in a dynamic system simultaneously. This paper focuses on the differential game problem of a linear quadratic jump uncertain stochastic system. The system is described
Lu Yang +3 more
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Certifying isolated singular points and their multiplicity structure [PDF]
, 2015 This paper presents two new constructions related to singular solutions of polynomial systems. The first is a new deflation method for an isolated singular root.
A, Caprasse H., Traverso C., Yamamoto N.
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Rigid Polynomial Differential Systems with Homogeneous Nonlinearities
MathematicsPlanar differential systems whose angular velocity is constant are called rigid or uniform differential systems. The first rigid system goes back to the pendulum clock of Christiaan Huygens in 1656; since then, the interest for the rigid systems has been
Jaume Llibre
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Jacobian elliptic Kummer surfaces and special function identities
, 2016 We derive formulas for the construction of all inequivalent Jacobian elliptic fibrations on the Kummer surface of two non-isogeneous elliptic curves from extremal rational elliptic surfaces by rational base transformations and quadratic twists.
Griffin, Elise, Malmendier, Andreas
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Abel quadratic differential systems of second kind
Electronic Journal of Differential EquationsThe Abel differential equations of second kind, named after Niels Henrik Abel, are a class of ordinary differential equations studied by many authors. Here we consider the Abel quadratic polynomial differential equations of second kind denoting this class by \(QS_{Ab}\).
Artes, J.C. +3 more
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Hamiltonian and Variational Linear Distributed Systems [PDF]
, 2002 We use the formalism of bilinear- and quadratic differential forms in order to study Hamiltonian and variational linear distributed systems. It was shown in [1] that a system described by ordinary linear constant-coefficient differential equations is ...
Rapisarda, Paolo, Trentelman, Harry L.
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Global Analysis of Riccati Quadratic Differential Systems
International Journal of Bifurcation and ChaosIn this paper, we study the family of quadratic Riccati differential systems. Our goal is to obtain the complete topological classification of this family on the Poincaré disk compactification of the plane. The family was partially studied before but never from a truly global viewpoint.
Artes, J.C. +3 more
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