Sentence examples for nonlinear connection from inspiring English sources

We start with the definition of nonlinear connection for vector bundles: Definition 1.

In these analyses, finite element technique considering nonlinear connection stiffness and geometrical non-linearity is applied.

As a special case vibrations of harmonic oscillators with fraction order nonlinear connection are considered.

Four nonlinear connection curves are used as shown in Fig. 4 and these parameters are listed in Table 1.

The theory of Lie algebroids provided with nonlinear connection structure is formulated in N-Connections, Geometric Mechanics and Lie Algebroids section.

We elaborate a unified geometric approach to classical mechanics, Riemann-Finsler spaces and gravity theories on Lie algebroids provided with nonlinear connection (N-connection) structure.

Your sense of judgment is quieted, you're making nonlinear connections, you're more likely to come up with great ideas.

Such spaces are enabled with nonholonomic structures, i.e nonintegrable distributions, defined by nonlinear connections (in brief, N-connection).

The main focus of the paper is to evaluate seismic fragility of nonlinear connections in large piping systems.

In N-anholonomic Lie Algebroids Section, we clarify the relevance of the geometry of nonlinear connections to the geometric models of mechanics on tangent bundles and Lie algebroids.

An explicit geometrization of mechanics both in terms of symplectic and N-connection structures on algebroids allows to work directly with singular, nonholonomic, and quotient symmetries which can be related to the quantum 'world' via spinor variables which, in such cases, are modelled by nonholonomic Clifford structures, nonlinear connections, connections, and curvatures on such spaces.