Results 41 to 50 of about 467 (169)

Homoclinic orbits for a class of symmetric Hamiltonian systems

Electronic Journal of Differential Equations, 1994
of Hamiltonian systems that are symmetric with respect to independent variable (time). For the scalar case we prove existence and uniqueness of a positive homoclinic solution. For the system case we prove existence of symmetric homoclinic orbits.
Philip Korman, Alan C. Lazer
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Homoclinic orbits for a class of $p$-Laplacian systems with periodic assumption

Electronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper, by using a linking theorem, some new existence criteria of homoclinic orbits are obtained for the $p$-Laplacian system $d(|\dot{u}(t)|^{p-2}\dot{u}(t))/dt+\nabla V(t,x)=f(t)$, where $p>1$, $V(t,x)=-K(t,x)+W(t,x)$.
Xingyong Zhang
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Asset price dynamics in a financial market with fundamentalists and chartists

Discrete Dynamics in Nature and Society, 2001
In this paper we consider a model of the dynamics of speculative markets involving the interaction of fundamentalists and chartists. The dynamics of the model are driven by a two-dimensional map that in the space of the parameters displays regions of ...
Carl Chairella, Roberto Dieci, Laura Gardini   +2 more
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Homoclinic Orbits for a Class of Noncoercive Discrete Hamiltonian Systems

Journal of Applied Mathematics, 2012
A class of first-order noncoercive discrete Hamiltonian systems are considered. Based on a generalized mountain pass theorem, some existence results of homoclinic orbits are obtained when the discrete Hamiltonian system is not periodical and need not ...
Long Yuhua
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On a Family of Hamilton–Poisson Jerk Systems

Mathematics
In this paper, we construct a family of Hamilton–Poisson jerk systems. We show that such a system has infinitely many Hamilton–Poisson realizations. In addition, we discuss the stability and we prove the existence of periodic orbits around nonlinearly ...
Cristian Lăzureanu, Jinyoung Cho
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Homoclinic orbits and Lie rotated vector fields

International Journal of Mathematics and Mathematical Sciences, 2000
Based on the definition of Lie rotated vector fields in the plane, this paper gives the property of homoclinic orbit as parameter is changed and the singular points are fixed on Lie rotated vector fields.
Jie Wang, Chen Chen
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Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order 2

上海师范大学学报. 自然科学版, 2018
Determining the number of limit cycles of a planar differential system is related to the second part of Hilbert's 16th problem. In this paper, a near-Hamiltonian system is studied, where the unperturbed system has a double homoclinic loop with second ...
Tian Huanhuan
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Homoclinic orbits of second-order nonlinear difference equations

Electronic Journal of Differential Equations, 2015
We establish existence criteria for homoclinic orbits of second-order nonlinear difference equations by using the critical point theory in combination with periodic approximations.
Haiping Shi, Xia Liu, Yuanbiao Zhang
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On periodic solutions in the non-dissipative Lorenz model: the role of the nonlinear feedback loop

Tellus: Series A, Dynamic Meteorology and Oceanography, 2018
In this study, we discuss the role of the linear heating term and nonlinear terms associated with a non-linear feedback loop in the energy cycle of the three-dimensional (X–Y–Z) non-dissipative Lorenz model (3D-NLM), where (X, Y, Z) represent the ...
B.-W. Shen
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Homoclinic Orbits for Second-Order Hamiltonian Systems with Some Twist Condition

Abstract and Applied Analysis, 2012
We study the existence and multiplicity of homoclinic orbits for second-order Hamiltonian systems q¨−L(t)q+∇qW(t,q)=0, where L(t) is unnecessarily positive definite for all t∈ℝ, and ∇qW(t,q) is of at most linear growth and satisfies some twist condition ...
Qi Wang, Qingye Zhang
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