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Boolean dynamics of Kauffman models with a scale-free network.
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A Numerical Test of Padé Approximation for Some Functions with Singularity
The aim of this study is to examine some numerical tests of Pade approximation for some typical functions with singularities such as simple pole, essential singularity, brunch cut, and natural…
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Some Effective Tight-Binding Models for Electrons in DNA Conduction: A Review
Quantum transport for DNA conduction has been widely studied with interest in application as a candidate in making nanowires as well as interest in the scientific mechanism. In this paper, we review…
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Localization of electronic states in chain models based on real DNA sequence
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Intrinsic properties of Boolean dynamics in complex networks.
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Exactly solvable scale-free network model.
  • K. Iguchi, H. Yamada
  • Mathematics, Computer Science
    Physical review. E, Statistical, nonlinear, and…
  • 28 May 2004
TLDR
It is shown that most of all important quantities in the network theory can be analytically obtained in the deterministic scale-free network model of Barabási, Ravasz, and Vicsek, and may be called the exactly solvable scale- free network.
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Analyticity of quantum states in one-dimensional tight-binding model
Analytical complexity of quantum wavefunction whose argument is extended into the complex plane provides an important information about the potentiality of manifesting complex quantum dynamics such…
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Rugged fitness landscapes of Kauffman models with a scale-free network.
TLDR
There is an interesting difference between random and scale-free networks such that the statistics of the rugged fitness landscapes is Gaussian for the random network while it is non-Gaussian with a tail for the scale- free network.
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Relation between irreversibility and entanglement in classically chaotic quantum kicked rotors
The relation between the degree of entanglement and time scale of time-irreversible behavior is investigated for classically chaotic quantum coupled kicked rotors by comparing the entanglement…
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Numerical study on dynamical behavior in oscillatory driven quantum double-well systems.
TLDR
It is found that time dependence of transition probability for an initially localized wave packet between the wells shows two types of motion, coherent and incoherent motion, depending on the perturbation parameters, and negativity of the Wigner function also show similar time dependence in each type of motion.
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