Results 71 to 80 of about 1,641 (211)
Homoclinic orbits in 3D dissipative systems [PDF]
Scientific Technical Review, 2014 The paper deals with a variational system corresponding to a three-dimensional dynamic system. The characteristic equation of the variational system depends on partial solutions. The matrix of the right-hand part of the variational system is a sum of two
Martynyuk Andreevich Anatoly +1 more
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Korteweg–de Vries waves in peridynamical media
Studies in Applied Mathematics, Volume 152, Issue 1, Page 376-403, January 2024.Abstract We consider a one‐dimensional peridynamical medium and show the existence of solitary waves with small amplitudes and long wavelength. Our proof uses nonlinear Bochner integral operators and characterizes their asymptotic properties in a singular scaling limit.
Michael Herrmann, Katia Kleine
wiley +1 more source
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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Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network
Mathematical Biosciences and Engineering, 2017 There have been some results on bifurcations of codimension one (such as saddle-node, transcritical, pitchfork) and degenerate Hopf bifurcations for an enzyme-catalyzed reaction system comprising a branched network but no further discussion for ...
Qiuyan Zhang +2 more
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Homoclinic orbits for flows in R3
Journal de Physique, 1984 We propose a rough classification for volume contracting flows in R 3 with chaotic behaviour. In the simplest cases, one looks at the nature of a homoclinic loop for the flow. Most configurations have been studied at length in the literature; here we examine briefly the « forgotten » case.
openaire +3 more sources
Analysis of the Stability and Chaotic Dynamics of an Ecological Model
Complexity, Volume 2024, Issue 1, 2024.Modelling has become an eminent tool in the study of ecological systems. Ecological modelling can help implement sustainable development, mathematical models, and system analysis that explain how ecological processes can promote the sustainable management of resources.
Muhammad Aqib Abbasi +6 more
wiley +1 more source
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 +2 more
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Discrete Dynamics in Nature and Society, Volume 2024, Issue 1, 2024.In this paper, the limit cycles and local bifurcation of critical periods for a class of switching Z2 equivariant quartic system with two symmetric singularities are investigated. First, through the computation of Lyapunov constants, the conditions of the two singularities to become the centers are determined.
Jian Yang +3 more
wiley +1 more source
On a Family of Hamilton–Poisson Jerk Systems
MathematicsIn 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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