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16 561 (0,145s) •

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Coupled intervals for discrete symplectic systems

. This (strict) coupled interval notion generalizes (i) the (strict) conjugate intervalIn this paper we introduce (strict) coupled intervals for discrete symplectic systems and characterize in terms of the nonexist...

BA - Obecná matematika

  • 2006
    • •
  • Jx
Result

Coupled intervals in the discrete optimal control

interval notion, which generalizes (i) the conjugate interval notion known for the fixed right endpoint case, and (ii) the coupled interval notion known of the nonexistence of such coupled intervals....

BA - Obecná matematika

  • 2004
    • •
  • Jx
Result

Constant slope maps on the extended real line

For a transitive countably piecewise monotone Markov interval map we consider the question of whether there exists a conjugate map of constant slope. The answer varies it is mixing or not, what slope we consider and whether the ...

Pure mathematics

  • 2018
    • •
  • Jimp
    • •
  • Link
Result

Coupled intervals in the discrete calculus of variations: necessity and sufficiency

In this work we study nonnegativity and positivity of a discrete quadratic functional with separately varying endpoints. We introduce a notion of an interval coupled with 0, and hence, extend the notion of conjugate interval

BA - Obecná matematika

  • 2002
    • •
  • Jx
Result

Zeros of derivatives of solutions to singular (p,n-p) conjugate BVPs

Positive solutions of the singular (p,n-p) conjugate BVP are studied. The set of all zeros of their derivatives up to order $n-1$ is described. By means of this, estimates from below of the solutions and the absolute values of their derivati...

BA - Obecná matematika

  • 2004
    • •
  • Jx
Result

The bitransitive continuous maps of the interval are conjugate to maps extremelly chaotic a.e.

Let $f$ be a continuous map of the interval $[0,1]$ to itself such that $f^2$ is topologically transitive. The author proves that $f$ is topologically conjugate to a continuous map $g$ of $[0,1]$ to itself which satisfies the follow...

BA - Obecná matematika

  • 2002
    • •
  • Jx
Result

Nonnegativity and positivity of quadratic functionals in the discrete calculus of variations: Survey

In this paper we provide a survey of characterizations of the nonnegativity and positivity of discrete quadratic functionals which arise as the second variation for nonlinear discrete calculus of variations problems. These characterizations are in te...

BA - Obecná matematika

  • 2005
    • •
  • Jx
Result

Discrete optimal control: second order optimality conditions

problems with thetheory of conjugate intervals, Hamiltonian systems, and Riccati of conjugate intervals, the existence of conjoined bases of the associated linear......

BA - Obecná matematika

  • 2002
    • •
  • Jx
Result

Constant slope models for finitely generated maps

We study countably monotone and Markov interval maps. We establish sufficient conditions for uniqueness of a conjugate map of constant slope. We explain how global window perturbation can be used to generate a large class of maps sa...

Pure mathematics

  • 2018
    • •
  • Jimp
    • •
  • Link
Result

Interval Exchange Words and the Question of Hof, Knill, and Simon

We consider words coding non-degenerate 3 interval exchange transformation. It is known that such words contain infinitely many palindromic factors. We show that for any morphism $xi$ fixing such a word, either $xi$ or $xi^2$ is conjugat...

BA - Obecná matematika

  • 2015
    • •
  • D
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  • Link
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