Transversal homoclinic points of the Hénon map [PDF]
Annali di Matematica Pura ed Applicata, 2005 ISSN:1618 ...
Kirchgraber, Urs, Stoffer, Daniel
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On the Price Dynamics of a Two-Dimensional Financial Market Model with Entry Levels
Complexity, 2020 This paper aims to extend the model developed by Tramontana et al. By adding trend followers who pay attention to the most recent observed price trend, we formulate a financial market model driven by a new two-dimensional discontinuous piecewise linear ...
En-Guo Gu
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Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics [PDF]
, 2000 In this paper we apply dynamical systems techniques to the problem of heteroclinic connections and resonance transitions in the planar circular restricted three-body problem.
Koon, Wang Sang +3 more
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Mixing-like properties for some generic and robust dynamics [PDF]
, 2014 We show that the set of Bernoulli measures of an isolated topologically mixing homoclinic class of a generic diffeomorphism is a dense subset of the set of invariant measures supported on the class.
Arbieto, Alexander +2 more
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Motion of vortices implies chaos in Bohmian mechanics [PDF]
, 2005 Bohmian mechanics is a causal interpretation of quantum mechanics in which particles describe trajectories guided by the wave function. The dynamics in the vicinity of nodes of the wave function, usually called vortices, is regular if they are at rest ...
+13 more
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Homoclinic crossing in open systems: Chaos in periodically perturbed monopole plus quadrupolelike potentials [PDF]
, 2002 The Melnikov method is applied to periodically perturbed open systems modeled by an inverse--square--law attraction center plus a quadrupolelike term. A compactification approach that regularizes periodic orbits at infinity is introduced.
A. E. Motter +30 more
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The Existence of Transverse Homoclinic Points in the Sitnikov Problem
Journal of Differential Equations, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dankowicz, H., Holmes, P.
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Homoclinic Orbits In Slowly Varying Oscillators [PDF]
, 1987 We obtain existence and bifurcation theorems for homoclinic orbits in three-dimensional flows that are perturbations of families of planar Hamiltonian systems. The perturbations may or may not depend explicitly on time.
Holmes, Philip, Wiggins, Stephen
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The Transverse Homoclinic Dynamics and their Bifurcations at Nonhyperbolic Fixed Points [PDF]
Transactions of the American Mathematical Society, 1992 The complete description of the dynamics of diffeomorphisms in a neighborhood of a transverse homoclinic orbit to a hyperbolic fixed point is obtained. It is topologically conjugate to a non-Bernoulli shift called { ∑ , σ } \{ {\sum ,\sigma } \} .
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Existence of transversal homoclinic points in a degenerative case
Rocky Mountain Journal of Mathematics, 1990 This interesting paper deals with the periodic differential equation \((1)\quad \dot x=g(x)+\mu h(t,x,\mu),\) where \(x\in {\mathbb{R}}^ k\), \(\mu\in {\mathbb{R}}\), h(t,x,\(\mu\)) is T-periodic in its first variable, and the unperturbed system (2) \(\dot x=g(x)\) has a saddle point \(x_ 0\).
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