Results 41 to 50 of about 10,271 (227)
Resonant Homoclinic Flips Bifurcation in Principal Eigendirections
Abstract and Applied Analysis, 2013 A codimension-4 homoclinic bifurcation with one orbit flip and one inclination flip at principal eigenvalue direction resonance is considered. By introducing a local active coordinate system in some small neighborhood of homoclinic orbit, we get the ...
Tiansi Zhang, Xiaoxin Huang, Deming Zhu
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Continuum-wise expansive homoclinic classes for robust dynamical systems
Advances in Difference Equations, 2019 In the study, we consider continuum-wise expansiveness for the homoclinic class of a kind of C1 $C^{1}$-robustly expansive dynamical system. First, we show that if the homoclinic class H(p,f) $H(p, f)$, which contains a hyperbolic periodic point p, is R ...
Manseob Lee
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Dynamics of a state-dependent delay-differential equation
Electronic Journal of Qualitative Theory of Differential EquationsWe present a detailed study of a scalar differential equation with threshold state-dependent delayed feedback. This equation arises as a simplification of a gene regulatory model.
Tomas Gedeon +4 more
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Homoclinic and heteroclinic solutions to a hepatitis C evolution model
Open Mathematics, 2018 Homoclinic and heteroclinic solutions to a standard hepatitis C virus (HCV) evolution model described by T. C. Reluga, H. Dahari and A. S. Perelson, (SIAM J. Appl. Math., 69 (2009), pp. 999–1023) are considered in this paper.
Telksnys Tadas +4 more
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Synchronization of "Hopf/homoclinic" bursting with "SubHopf/homoclinic" bursting
Acta Physica Sinica, 2013 Taking the modified Morris-Lecar neuron model for example, we consider the synchronous behaviour between "Hopf/homoclinic" bursting and "SubHopf/homoclinic" bursting. Firstly, the synchronization between two coupled bursting neurons with the same topological type is investigated numerically, and the results show that the coupling strength reaching the ...
null Wang Fu-Xia, null Xie Yong
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The Twisting Bifurcations of Double Homoclinic Loops with Resonant Eigenvalues
Abstract and Applied Analysis, 2013 The twisting bifurcations of double homoclinic loops with resonant eigenvalues are investigated in four-dimensional systems. The coexistence or noncoexistence of large 1-homoclinic orbit and large 1-periodic orbit near double homoclinic loops is given ...
Xiaodong Li +3 more
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Homoclinic points of 2D and 4D maps via the parametrization method [PDF]
, 2016 An interesting problem in solid state physics is to compute discrete breather solutions in N coupled 1D Hamiltonian particle chains and investigate the richness of their interactions.
S. Anastassiou, T. Bountis, A. Bäcker
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Distribution of Maps with Transversal Homoclinic Orbits in a Continuous Map Space
Abstract and Applied Analysis, 2011 This paper is concerned with distribution of maps with transversal homoclinic orbits in a continuous map space, which consists of continuous maps defined in a closed and bounded set of a Banach space.
Qiuju Xing, Yuming Shi
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, 2018 By using critical point theory, we obtain some new sufficient conditions on the existence of homoclinic solutions of a class of nonlinear discrete \begin{document}$ \phi $\end{document} -Laplacian equations with mixed nonlinearities for the potentials ...
Genghong Lin, Zhanxue Zhou
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