Displaying similar documents to “Controllability of matrix second order systems: a trigonometric matrix approach.”

Controllability of a slowly rotating Timoshenko beam

Martin Gugat (2001)

ESAIM: Control, Optimisation and Calculus of Variations

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Consider a Timoshenko beam that is clamped to an axis perpendicular to the axis of the beam. We study the problem to move the beam from a given initial state to a position of rest, where the movement is controlled by the angular acceleration of the axis to which the beam is clamped. We show that this problem of controllability is solvable if the time of rotation is long enough and a certain parameter that describes the material of the beam is a rational number that has an even numerator...

Chaos in some planar nonautonomous polynomial differential equation

Klaudiusz Wójcik (2000)

Annales Polonici Mathematici

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We show that under some assumptions on the function f the system ż = z ̅ ( f ( z ) e i ϕ t + e i 2 ϕ t ) generates chaotic dynamics for sufficiently small parameter ϕ. We use the topological method based on the Lefschetz fixed point theorem and the Ważewski retract theorem.

Difference and Difference Quotient. Part II

Bo Li, Yanping Zhuang, Xiquan Liang (2008)

Formalized Mathematics

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In this article, we give some important properties of forward difference, backward difference, central difference and difference quotient and forward difference, backward difference, central difference and difference quotient formulas of some special functions [11].MML identifier: DIFF 2, version: 7.8.09 4.97.1001

Difference and Difference Quotient. Part III

Xiquan Liang, Ling Tang (2010)

Formalized Mathematics

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In this article, we give some important theorems of forward difference, backward difference, central difference and difference quotient and forward difference, backward difference, central difference and difference quotient formulas of some special functions.

Several Higher Differentiation Formulas of Special Functions

Junjie Zhao, Xiquan Liang, Li Yan (2008)

Formalized Mathematics

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In this paper, we proved some basic properties of higher differentiation, and higher differentiation formulas of special functions [4].MML identifier: HFDIFF 1, version: 7.8.10 4.100.1011