Results 21 to 30 of about 10,336 (188)
Dynamical behavior of a parametrized family of one-dimensional maps
Electronic Journal of Qualitative Theory of Differential Equations, 2022 The connection of these maps to homoclinic loops acts like an amplifier of the map behavior, and makes it interesting also in the case where all map orbits approach zero (but in many possible ways).
Erkan Muştu
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Homoclinic points, atoral polynomials, and periodic points of algebraic -actions [PDF]
Ergodic Theory and Dynamical Systems, 2012 AbstractCyclic algebraic ${\mathbb {Z}^{d}}$-actions are defined by ideals of Laurent polynomials in $d$ commuting variables. Such an action is expansive precisely when the complex variety of the ideal is disjoint from the multiplicative $d$-torus. For such expansive actions it is known that the limit of the growth rate of periodic points exists and is
Lind, D., Schmidt, K., Verbitskiy, E.
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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 points and Floer homology [PDF]
Journal of Symplectic Geometry, 2013 55 pages, 17 figures; In accordance with the journal's copyright, I am making a preprint version of my published paper available on the ...
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Bifurcation of an Orbit Homoclinic to a Hyperbolic Saddle of a Vector Field in R4
Discrete Dynamics in Nature and Society, 2015 We perform a bifurcation analysis of an orbit homoclinic to a hyperbolic saddle of a vector field in R4. We give an expression of the gap between returning points in a transverse section by renormalizing system, through which we find the existence of ...
Tiansi Zhang, Dianli Zhao
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Semiclassical Study on Tunneling Processes via Complex-Domain Chaos [PDF]
, 2003 We investigate the semiclassical mechanism of tunneling process in non-integrable systems. The significant role of complex-phase-space chaos in the description of the tunneling process is elucidated by studying a simple scattering map model. Behaviors of
Ikeda, K. S. +3 more
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Three Homoclinic Solutions for Second-Order -Laplacian Differential System
Abstract and Applied Analysis, 2013 We consider second-order -Laplacian differential system. By using three critical points theorem, we establish the new criterion to guarantee that this -Laplacian differential system has at least three homoclinic solutions.
Jia Guo, Bin-Xiang Dai
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Multiple solutions of nonlinear boundary value problems with oscillatory solutions
Mathematical Modelling and Analysis, 2006 We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
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Analytic Solutions of 2D Cubic Quintic Complex Ginzburg-Landau Equation
Journal of Applied Mathematics, 2023 The dynamical behaviour of traveling waves in a class of two-dimensional system whose amplitude obeys the two-dimensional complex cubic-quintic Ginzburg-Landau equation is deeply studied as a function of parameters near a subcritical bifurcation.
F. Waffo Tchuimmo +5 more
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Bursting Oscillations in Shimizu-Morioka System with Slow-Varying Periodic Excitation
Shock and Vibration, 2018 The coupling effect of two different frequency scales between the exciting frequency and the natural frequency of the Shimizu-Morioka system with slow-varying periodic excitation is investigated.
Xindong Ma, Shuqian Cao
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