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A related-key attack on iterated chaotic ciphers

Yang Yang, Chenhui Jin (2008)

Kybernetika

In this paper, we present a new type of attack on iterated chaotic ciphers using related keys. Based on the fact that a chaotic sequence is not sensitive to the less significant bits of initial conditions and parameters, a divide- and-conquer attack on iterated chaotic ciphers was presented by us before, which significantly reduces the computing complexity of attacks. However, if the information leaked is significant according to the distribution of the coincidence degrees, a measure for the information...

A remark about a Galerkin method

Gerhard Ströhmer (1996)

Banach Center Publications

It is shown that the approximating equations whose existence is required in the author's previous work on partially regular weak solutions can be constructed without any additional assumption about the equation itself. This leads to a variation of a Galerkin method.

A remark on power comparison theorem for half-linear differential equations

Gabriella Bognár, Ondřej Došlý (2008)

Mathematica Bohemica

We consider the half-linear second order differential equation which is viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation. We present a comparison theorem with respect to the power of the half-linearity in the equation under consideration. Our research is motivated by the recent results published by J. Sugie, N. Yamaoka, Acta Math. Hungar. 111 (2006), 165–179.

A remark on second order functional-differential systems

Valter Šeda, Štefan Belohorec (1993)

Archivum Mathematicum

It is proved that under some conditions the set of solutions to initial value problem for second order functional differential system on an unbounded interval is a compact R δ -set and hence nonvoid, compact and connected set in a Fréchet space. The proof is based on a Kubáček’s theorem.

A remark on the local Lipschitz continuity of vector hysteresis operators

Pavel Krejčí (2001)

Applications of Mathematics

It is known that the vector stop operator with a convex closed characteristic Z of class C 1 is locally Lipschitz continuous in the space of absolutely continuous functions if the unit outward normal mapping n is Lipschitz continuous on the boundary ∂ Z of Z . We prove that in the regular case, this condition is also necessary.

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