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Rotation number of 2-interval piecewise affine maps
We study maps of the unit interval whose graph is made up of two increasing segments and which are injective in an extended sense. Such maps
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Rotation Functions of Integrable Billiards As Orbital Invariants
AbstractOrbital invariants of integrable billiards on two-dimensional book tables are studied at constant energy values. These invariants are...
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The rotation number for the Schrödinger operator with \(\alpha \)-norm almost periodic measures
We introduce a new class of almost periodic measures, and consider one-dimensional almost periodic Schrödinger operators with measure-valued...
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Multi-blade rubbing characteristics of the shaft-disk-blade-casing system with large rotation
Blade rubbing faults cause detrimental impact on the operation of aeroengines. Most of the existing studies on blade rubbing in the...
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Impact of Couple Stresses on Slow Rotation of a Slip Sphere: Brinkman’s Medium
The impact of couple stresses on the rotation of solid sphere in Brinkman’s model with slip influence is analytically solved. The tangential slip and...
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On the Growth of Birkhoff Sums over a Rotation of the Circle
AbstractEven Poincaré had constructed an example which implies the existence of an irrational rotation of the circle and a function continuous on it...
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Optimal Rotation Age in Fast Growing Plantations: A Dynamical Optimization Problem
Forest plantations are economically and environmentally relevant, as they play a key role in timber production and carbon capture. It is expected...
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Levi-Civita simplifies Einstein. The Ricci rotation coefficients and unified field theories
This paper concerns late 1920 s attempts to construct unitary theories of gravity and electromagnetism. A first attempt using a non-standard...
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Studying the Oscillation, Rotation, and Wandering Indicators by the First Approximation
AbstractOscillation, rotation, and wandering indicators similar to Lyapunov exponents and adapted to nonlinear systems of differential equations are...
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A new rotation method for constructing orthogonal Latin hypercube designs
Latin hypercube designs (LHDs) are very popular in designing computer experiments. In addition, orthogonality is a desirable property for LHDs, as it...
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Search for the Best Cubature Formulas on the Sphere Invariant under the Icosahedral Rotation Group
AbstractA process of searching on the sphere for the best (in a sense) cubature formulas that are invariant under the transformations of the...
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Study of the Complete Oscillation, Rotation, and Wandering Properties of a Differential System by the First Approximation
AbstractThe concepts of complete oscillation, rotation, and wandering as well as complete nonoscillation, nonrotation, and nonwandering of a system...
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Fast rotation and inviscid limits for the SQG equation with general ill-prepared initial data
In the present paper, we study the fast rotation and inviscid limits for the 2-D dissipative surface quasi-geostrophic equation with a dispersive...
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Bond-Based Peridynamics Including Rotation
This chapter describes a modification of the BB PD for modeling linear elastic deformation of isotropic materials. Bond kinematics includes both...
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Gyroscopically Coupled In-Plane and Out-of-Plane Vibrations of Rotating Hollow Circular Plate: Case of In-Plane Axis of Rotation
AbstractIn this work, we construct and study a model of the coupled plane-transverse vibrations of a circular thin plate with a concentric hole under...
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Develo** and Analyzing Some Novel Finite Element Schemes for the Electromagnetic Rotation Cloak Model
One potential application of metamaterials is for designing invisibility cloaks. In this paper, we are interested in a rotation cloak model. Here we...
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Global axisymmetric Euler flows with rotation
We construct a class of global, dynamical solutions to the 3 d Euler equations near the stationary state given by uniform “rigid body” rotation. These...
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Renormalization of Analytic Multicritical Circle Maps with Bounded Type Rotation Numbers
In this paper, we study homeomorphisms of the circle with several critical points and bounded type rotation number. We prove complex a priori bounds...
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Double-Diffusive Convection with the Effect of Rotation in Magnetic Nanofluids
A linear stability analysis is performed to investigate the effect of rotation and solute for a thin horizontal layer of water-based magnetic...