Results 11 to 20 of about 6,100 (243)
Heteroclinic Bifurcation Behaviors of a Duffing Oscillator with Delayed Feedback [PDF]
Shock and Vibration, 2018 The heteroclinic bifurcation and chaos of a Duffing oscillator with forcing excitation under both delayed displacement feedback and delayed velocity feedback are studied by Melnikov method.
Shao-Fang Wen, Ju-Feng Chen, Shu-Qi Guo
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Bifurcation of heteroclinic orbits via an index theory [PDF]
Mathematische Zeitschrift, 2018 16 pages, no ...
Hu X., Portaluri A.
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Mathematical Biosciences and Engineering, 2015 In this paper, we analyze a general predator-prey modelwith state feedback impulsive harvesting strategies in which the prey species displays a strongAllee effect.
Qizhen Xiao, Binxiang Dai
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Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems
Open MathematicsConsider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
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Transitions of bifurcation diagrams of a forced heteroclinic cycle [PDF]
Journal of Mathematical Analysis and ApplicationsA family of periodic perturbations of an attracting robust heteroclinic cycle defined on the two-sphere is studied by reducing the analysis to that of a one-parameter family of maps on a circle. The set of zeros of the family forms a bifurcation diagram on the cylinder. The different bifurcation diagrams and the transitions between them are obtained as
Isabel S. Labouriau +1 more
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Experimental Observation of Magnetic Island Heteroclinic Bifurcation in Tokamaks
Physical Review Letters, 2021 We report empirical observations of magnetic island heteroclinic bifurcation for the first time. This behavior is observed in interacting coupled 2/1 tearing modes in the core of a DIII-D tokamak plasma. Poincaré maps constrained by measured magnetic amplitudes and phasing show bifurcation from heteroclinic to homoclinic topology in the 2/1 island as ...
L. Bardóczi, T. E. Evans
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Connected simple systems, transition matrices, and heteroclinic bifurcations [PDF]
Transactions of the American Mathematical Society, 1992 Given invariant sets A A , B B , and C C , and connecting orbits A → B A \to B and B → C B \to C , we state very general conditions under which they bifurcate to produce an A → C A \
Christopher McCord +2 more
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Homoclinic and Heteroclinic Bifurcations in Vector Fields [PDF]
, 2010 An overview of homoclinic and heteroclinic bifurcation theory for autonomous vector fields is given. Specifically, homoclinic and heteroclinic bifurcations of codimension one and two in generic, equivariant, reversible, and conservative systems are reviewed, and results pertaining to the existence of multi-round homoclinic and periodic orbits and of ...
Homburg, A.J., Sandstede, B.
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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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Heteroclinic bifurcation theory and Riemann problems
Matemática Contemporânea, 1992 The author considers the system of two conservation laws in one space dimension and describes the heteroclinic bifurcation theory approach to the Riemann problems for this system.
Stephen Schecter
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