Results 31 to 40 of about 205,637 (167)
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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Mathematical Modeling of Pulse‐Seeded Metapopulation Dynamics for Andes Hantavirus Border Dispersal
Engineering Reports, Volume 8, Issue 9, September 2026.A pulse‐seeded metapopulation SEIR model for Andes hantavirus maritime dispersal shows that heterogeneous quarantine compliance determines secondary outbreak risk. The weakest‐compliance country governs global containment, while uniform compliance above ∼65%$$ \sim 65\% $$ reduces the global reproduction number below unity.
Gideon K. Gogovi, Paul Chataa
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Stability of large periodic solutions of Klein-Gordon near a homoclinic orbit [PDF]
, 2015 International audienceWe consider a Klein-Gordon equation (KG) on a Riemannian compact surface, for which the flow lets invariant the two dimensional space the solutions independent of the space variable.
Jézéquel, Tiphaine +2 more
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Characterization of K-complexes and slow wave activity in a neural mass model.
PLoS Computational Biology, 2014 NREM sleep is characterized by two hallmarks, namely K-complexes (KCs) during sleep stage N2 and cortical slow oscillations (SOs) during sleep stage N3.
Arne Weigenand +4 more
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Mathematics, 2023 In this paper, we investigate the generalized Radhakrishnan–Kundu–Lakshmanan equation with polynomial law using the method of dynamical systems. By using traveling-wave transformation, the model can be converted into a singular integrable traveling-wave ...
Mengke Yu, Cailiang Chen, Qiuyan Zhang
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Sharp Upper Bound for Amplitudes of Finite‐Gap Solutions of the Modified Korteweg‐de Vries Equation
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT A sharp upper bound is established for the amplitudes of finite‐gap solutions of the focusing modified Korteweg–de Vries equation. The proof shows that the optimization can be carried out entirely within the finite‐dimensional hierarchy, without explicit integration of the finite‐gap solution. The maximal amplitude is expressed in terms of the
Otis C. Wright III
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Complexity, 2020 In this paper, mathematical models for the management of biological resources based on a given predator-prey relationship are proposed, and two types of control strategies, unilateral and bilateral control with impulsive state feedback, are studied.
Mingzhan Huang +3 more
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Topics in Cognitive Science, Volume 18, Issue 3, July 2026.Abstract Fractal fluctuations are a core concept for inquiries into human behavior and cognition from a dynamic systems perspective. Here, we present a generalized variance method for multivariate detrended fluctuation analysis (mvDFA). The advantage of this extension is that it can be applied to multivariate time series and considers intercorrelation ...
Sebastian Wallot +5 more
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Homoclinic snaking in a neutral delay model of a transmission line oscillator [PDF]
, 2006 In a transmission line oscillator (TLO) a linear wave travels along a piece of cable, the transmission line, and interacts with terminating electrical components.
Wilson, RE, Barton, DAW, Krauskopf, B
core
Homoclinic orbits and Lie rotated vector fields
International Journal of Mathematics and Mathematical Sciences, 2000 Based on the definition of Lie rotated vector fields in the plane, this paper gives the property of homoclinic orbit as parameter is changed and the singular points are fixed on Lie rotated vector fields.
Jie Wang, Chen Chen
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