Results 31 to 40 of about 2,789,352 (166)
Lyapunov stable homoclinic classes for smooth vector fields
Open Mathematics, 2019 In this paper, we show that for generic C1, if a flow Xt has the shadowing property on a bi-Lyapunov stable homoclinic class, then it does not contain any singularity and it is hyperbolic.
Lee Manseob
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
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New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition
Boundary Value Problems, 2018 In this paper, we introduce a new mixed condition to obtain a new compact embedding theorem. Under this theorem, we study the existence and multiplicity of nontrivial homoclinic solutions for a class of second-order Hamiltonian systems with variable ...
Xuefeng Li, Jin Jia
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Measure-Expansive Homoclinic Classes for C1 Generic Flows
Mathematics, 2020 In this paper, we prove that for a generically C1 vector field X of a compact smooth manifold M, if a homoclinic class H(γ,X) which contains a hyperbolic closed orbit γ is measure expansive for X then H(γ,X) is hyperbolic.
Manseob Lee
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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
wiley +1 more source
Infinitely many homoclinic solutions for a class of damped vibration problems
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we consider the multiplicity of homoclinic solutions for the following damped vibration problems $$ \ddot{x}(t)+B\dot{x}(t)-A(t)x(t)+H_{x}(t,x(t))=0,$$ where $A(t)\in (\mathbb{R},\mathbb{R}^{N})$ is a symmetric matrix for all $t\in \mathbb{
Huijuan Xu, Shan Jiang, Guanggang Liu
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
Discrete embedded solitons [PDF]
, 2005 We address the existence and properties of discrete embedded solitons (ESs), that is localised waves existing inside the phonon band in a nonlinear dynamical-lattice model. The model describes a one-dimensional array of optical waveguides with both Chi(2)
Yagasaki, Y +3 more
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