Results 1 to 10 of about 94,676 (275)

Analytic Nilpotent Centers on Center Manifolds

, 2021
Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is $y\partial_x-λz\partial_z$ for some $λ\neq 0$. The restriction of such systems to a Center Manifold has a nilpotent singular point at the origin.
Pessoa, Claudio, Queiroz, Lucas
openaire   +2 more sources

Attractivity with asymptotic phase of local center manifolds and an application to one-parameter bifurcation for integral equations with infinite delay

Electronic Journal of Qualitative Theory of Differential Equations
For autonomous $C^1$-smooth integral equations with infinite delay, exponential attractivity with asymptotic phase of the local center manifolds of the equilibrium $0$, together with a reduction principle, is proved by means of a dynamical systems ...
Hideaki Matsunaga, Kouichi Murakami, Yutaka Nagabuchi   +2 more
doaj   +1 more source

ε-Coverings of Hölder-Zygmund Type Spaces on Data-Defined Manifolds

Abstract and Applied Analysis, 2014
We first determine the asymptotes of the ε-covering numbers of Hölder-Zygmund type spaces on data-defined manifolds. Secondly, a fully discrete and finite algorithmic scheme is developed providing explicit ε-coverings whose cardinality is asymptotically ...
Martin Ehler, Frank Filbir
doaj   +1 more source

SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS

Forum of Mathematics, Sigma, 2018
We consider a broad class of systems of nonlinear integro-differential equations posed on the real line that arise as Euler–Lagrange equations to energies involving nonlinear nonlocal interactions.
BENTE BAKKER, ARND SCHEEL
doaj   +1 more source

Curved manifolds with conserved Runge-Lenz vectors

, 2009
van Holten's algorithm is used to construct Runge-Lenz-type conserved quantities, induced by Killing tensors, on curved manifolds. For the generalized Taub-NUT metric, the most general external potential such that the combined system admits a conserved ...
Ngome, J. -P.
core   +1 more source

The Liapunov Center Theorem for a Class of Equivariant Hamiltonian Systems

Abstract and Applied Analysis, 2012
We consider the existence of the periodic solutions in the neighbourhood of equilibria for 𝐶∞ equivariant Hamiltonian vector fields. If the equivariant symmetry 𝑆 acts antisymplectically and 𝑆2=𝐼, we prove that generically purely imaginary eigenvalues ...
Jia Li, Yanling Shi
doaj   +1 more source

A dynamic analysis of a prey–predator population model with a nonlinear harvesting rate [PDF]

Arab Journal of Mathematical Sciences
Purpose – In this article, the author discusses dynamical behaviors of a prey-predator population model with nonlinear harvesting rate and offers a mathematical analysis of the model.
Nadia Mohdeb
doaj   +1 more source

The State Space Subdivision Filter for Estimation on SE(2)

Sensors, 2021
The SE(2) domain can be used to describe the position and orientation of objects in planar scenarios and is inherently nonlinear due to the periodicity of the angle.
Florian Pfaff, Kailai Li, Uwe D. Hanebeck   +2 more
doaj   +1 more source

Asymptotic Integration of Certain Differential Equations in Banach Space

Моделирование и анализ информационных систем, 2017
We investigate the problem of constructing the asymptotics for weak solutions of certain class of linear differential equations in the Banach space as the independent variable tends to infinity.
Pavel N. Nesterov
doaj   +1 more source

Center manifolds for random dynamical systems with generalized trichotomies

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we consider small perturbations of linear Random Dynamical Systems evolving on a Banach space and admitting a general form of trichotomy.
António Bento, Helder Vilarinho
doaj   +1 more source