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The intersection surfaces in a 4-dimensional homoclinic/heteroclinic tangle
Nonlinear Dynamics, 2022 We study the homoclinic/heteroclinic tangle in a three degrees of freedom system corresponding to a 4-dimensional Poincaré map. In particular, we look at the 2-dimensional homoclinic/heteroclinic intersection surfaces between the stable and unstable ...
Euaggelos Zotos, Christof Jung
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Nonautonomous systems with transversal homoclinic structures under discretization
BIT Numerical Mathematics, 2016 Girod A, Hüls T. Nonautonomous systems with transversal homoclinic structures under discretization. BIT NUMERICAL MATHEMATICS. 2016;56(2):605-631.We consider homoclinic orbits in continuous time nonautonomous dynamical systems. Unlike the autonomous case,
A. Girod, Thorsten Hüls
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The density of the transversal homoclinic points in the Henon-like strange attractors
Chaos, Solitons and Fractals, 2002Shin Kiriki
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Homoclinic orbits of non-autonomous maps and their approximation
, 2006 Hüls T. Homoclinic orbits of non-autonomous maps and their approximation. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. 2006;12(11):1103-1126.We consider homoclinic orbits in non-autonomous discrete time dynamical systems of the form Xn+l = f(n)(x(n))
Thorsten Hüls
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Homoclinic tangles in a Kaldor-like business cycle model
, 2007 In this paper a nonlinear discrete-time business cycle model of Kaldor-type is considered, to illustrate particular global bifurcations which determine the appearance or disappearance of attracting and repelling closed invariant curves. Such bifurcations
A. Agliari, R. Dieci, L. Gardini
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Chaos of a Single-Walled Carbon Nanotube Resulting from Periodic Parameter Perturbation
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2021Carbon nanotubes (CNTs) are used in various nano-electromechanical systems (NEMS), and the parameters (including the system parameters and the excitation parameters) may result in chaos in these systems.
Zhen Wang, Weipeng Hu
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The existence of transversal homoclinic orbits in a planar circular restricted four-body problem
Celestial Mechanics and Dynamical Astronomy, 2013Zhikun She
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Study of homoclinic transversal intersections for the double mathematical pendulum
2000 2nd International Conference. Control of Oscillations and Chaos. Proceedings (Cat. No.00TH8521), 2002The double mathematical pendulum is a classical example of a Hamiltonian system with two degrees of freedom. It consists of two masses attached to joined arms of different lengths, the upper end of the first arm being fixed, and the whole system being subjected to the action of constant gravity.
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Transversal intersection formula for compacta [PDF]
Topology and Its Applications, 1998 The main purpose of this paper is to present a unified treatment of the formula for dimension of the transversal intersection of compacta in Euclidean spaces.
A N Dranishnikov, D Repovš
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, 2021
In this paper, we construct (a) a pair of two regular Cantor sets in higher dimension which exhibits $C^1$-stable intersection and (b) a hyperbolic basic set which exhibits $C^2$-robust homoclinic tangency of the largest codimension for any higher ...
Masayuki Asaoka
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In this paper, we construct (a) a pair of two regular Cantor sets in higher dimension which exhibits $C^1$-stable intersection and (b) a hyperbolic basic set which exhibits $C^2$-robust homoclinic tangency of the largest codimension for any higher ...
Masayuki Asaoka
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