Results 61 to 70 of about 762,341 (222)
Transverse instability for non-normal parameters
We consider the behaviour of attractors near invariant subspaces on varying a parameter that does not preserve the dynamics in the invariant subspace but is otherwise generic, in a smooth dynamical system.
Alexander J +18 more
core +2 more sources
Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control. [PDF]
In this wIn this work, we explore finite-dimensional linear representations of nonlinear dynamical systems by restricting the Koopman operator to an invariant subspace spanned by specially chosen observable functions.
Steven L Brunton +3 more
doaj +1 more source
Contractively Embedded Invariant Subspaces [PDF]
14 pages. To appear in Operator Theory Advances and Applications (Special volume honoring Joe Ball)
Gorai, Sushil, Sarkar, Jaydeb
openaire +2 more sources
We investigate the symmetry properties of a variable coefficient space-time fractional potential Burgers’ equation. Fractional Lie symmetries and corresponding infinitesimal generators are obtained.
Manoj Gaur, K. Singh
doaj +1 more source
Equivalence of helicity and Euclidean self-duality for gauge fields
In the canonical formalism for the free electromagnetic field a solution to Maxwell's equations is customarily identified with its initial gauge potential (in Coulomb gauge) and initial electric field, which together determine a point in phase space. The
Leonard Gross
doaj +1 more source
Synthesizable differentiation-invariant subspaces
We describe differentiation-invariant subspaces of $C^\infty(a,b)$ which admit spectral synthesis. This gives a complete answer to a question posed by A.~Aleman and B.~Korenblum. It turns out that this problem is related to a classical problem of approximation by polynomials on the real line.
Baranov, Anton, Belov, Yurii
openaire +2 more sources
A reflexive hereditarily indecomposable space with the hereditary invariant subspace property [PDF]
A separable Banach space X satisfies the invariant subspace property (ISP) if every bounded linear operator T∈ℒ(X) admits a non‐trivial closed invariant subspace.
S. Argyros, P. Motakis
semanticscholar +1 more source
On isomorphisms and hyper-reflexivity of closed subspace lattices
There are some papers, such as [1], [2] and [3], in which some properties on isomorphism of closed subspace lattices of Hilbert spaces were studied. In this short paper we will point out that the hyper-reflexivity of closed subspace lattice is invariant ...
Han Deguang
doaj +1 more source
Invariant Subspaces and Perturbations [PDF]
We study the stability of proper closed invariant subspaces with respect to perturbations in norm of continuous operators on a Hubert space, using a nonlinear C ∞ {C^\infty } map of Banach spaces.
openaire +1 more source
Endomorphisms of spaces of virtual vectors fixed by a discrete group
Consider a unitary representation $\pi$ of a discrete group $G$, which, when restricted to an almost normal subgroup $\Gamma\subseteq G$, is of type II.
Radulescu, Florin
core +1 more source

