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20022009
most citedAdaptive Coevolutionary Networks: A Review

861 citations

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nlin.CD200919 cited

Coagulation and fragmentation dynamics of inertial particles

Jens C. Zahnow, Rafael D. Vilela, Ulrike Feudel +1

Inertial particles suspended in many natural and industrial flows undergo coagulation upon collisions and fragmentation if their size becomes too large or if they experience large…

nlin.CD200918 cited

Origin of chaos in soft interactions and signatures of nonergodicity

Marcus W. Beims, Cesar Manchein, Jan M. Rost

The emergence of chaotic motion is discussed for hard-point like and soft collisions between two particles in a one-dimensional box. It is known that ergodicity may be obtained in…

nlin.CD200913 cited

Gauss map and Lyapunov exponents of interacting particles in a billiard

Cesar Manchein, Marcus W. Beims

We show that the Lyapunov exponent (LE) of periodic orbits with Lebesgue measure zero from the Gauss map can be used to determine the main qualitative behavior of the LE of a Hamil…

nlin.CD200861 cited

Poincare recurrences and transient chaos in systems with leaks

Eduardo G. Altmann, Tamas Tel

In order to simulate observational and experimental situations, we consider a leak in the phase space of a chaotic dynamical system. We obtain an expression for the escape rate of…

nlin.CD200899 cited

On universality of algebraic decays in Hamiltonian systems

Giampaolo Cristadoro, Roland Ketzmerick

Hamiltonian systems with a mixed phase space typically exhibit an algebraic decay of correlations and of Poincare' recurrences, with numerical experiments over finite times showing…

nlin.CD200742 cited

Poincare recurrences from the perspective of transient chaos

Eduardo G. Altmann, Tamas Tel

We obtain a description of the Poincaré recurrences of chaotic systems in terms of the ergodic theory of transient chaos. It is based on the equivalence between the recurrence time…