[LIVRE][B] Transient chaos: complex dynamics on finite time scales
The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …
intensive research, of transient chaos. One belief that motivates us to write this book is that …
The zero-temperature physical properties of an Ising chain in a Markovian field taking only
two values with non-zero mean are evaluated and a related discrete stochastic map** …
two values with non-zero mean are evaluated and a related discrete stochastic map** …
Multifractal properties in the one-dimensional random-field Ising model
J Bene, P Szépfalusy - Physical Review A, 1988 - APS
The Ising chain in a random field is investigated in the region of parameter settings where
the measure related to the free-energy distribution is a fractal. The multifractal spectrum is …
the measure related to the free-energy distribution is a fractal. The multifractal spectrum is …
Calculation of a characteristic fractal dimension in the one-dimensional random field Ising model
P Szépfalusy, U Behn - Zeitschrift für Physik B Condensed Matter, 1987 - Springer
By exploiting the connection with the problem of a repeller in a one dimensional map a new
method is applied to calculate a fractal dimension characterising the local field. It is …
method is applied to calculate a fractal dimension characterising the local field. It is …
Multifractal properties of a class of non-natural measures as an eigenvalue problem
J Bene - Physical Review A, 1989 - APS
Invariant measures generated by the backward iteration of one-dimensional maps are
studied. The method yields the generalized dimensions as eigenvalues. For a particular …
studied. The method yields the generalized dimensions as eigenvalues. For a particular …