Results 41 to 50 of about 2,741,766 (204)
Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Multiplicity results for the Neumann boundary value problem
Mathematical Modelling and Analysis, 2007 We provide multiplicity results for the Neumann boundary value problem, when the second order differential equation is of the form x” = f(x).
Svetlana Atslega
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
Detection of symmetric homoclinic orbits to saddle-centres in reversible systems [PDF]
, 2005 We present a perturbation technique for the detection of symmetric homoclinic orbits to saddle-centre equilibria in reversible systems of ordinary differential equations.
Yagasaki, Kazuyuki, Wagenknecht, T
core
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
Global bifurcation of homoclinic solutions of Hamiltonian systems
Discrete and Continuous Dynamical Systems, 2003 We provide global bifurcation results for a class of nonlinear hamiltonian ...
Secchi, S, Stuart, CA
openaire +4 more sources
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
Periodic and Homoclinic Solutions of Extended Fisher–Kolmogorov Equations
Journal of Mathematical Analysis and Applications, 2000 The authors study the existence of periodic and homoclinic solutions to fourth-order semilinear equations via variational methods.
Tersian, Stepan, Chaparova, Julia
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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
core
Magnetohydrodynamic convectons [PDF]
, 2011 Numerical continuation is used to compute branches of spatially localized structures in convection in an imposed vertical magnetic field. In periodic domains with finite spatial period, these branches exhibit slanted snaking and consist of localized ...
Alain Bergeon +5 more
core +1 more source