We consider the population dynamics of a set of species whose network of catalytic interactions is described by a directed graph. The relationship between the attractors of this dynamics and the underlying graph theoretic structures like cycles and autocatalytic sets is discussed. It is shown that when the population dynamics is suitably coupled to a slow dynamics of the graph itself, the network evolves towards increasing complexity driven by autocatalytic sets. Some quantitative measures of network complexity are described
Complex systems of coupled dynamical units can often be understood as adaptive networks. In such net...
In this paper the authors investigate the evolution of populations of sequences on a random catalyti...
The interplay between topology and dynamics in complex networks is a fundamental but widely unexplor...
We consider the population dynamics of a set of species whose network of catalytic interactions is d...
A model of s interacting species is considered with two types of dynamical variables. The fast varia...
A model of s interacting species is considered with two types of dynamical variables. The fast varia...
A model of s interacting species is considered with two types of dynamical variables. The fast varia...
We study the multiscale structure of the Jain–Krishna adaptive network model. This model describes t...
We study the multiscale structure of the Jain–Krishna adaptive network model. This model describes t...
We study the multiscale structure of the Jain–Krishna adaptive network model. This model describes t...
Evolution produces complex and structured networks of interacting components in chemical, biological...
Evolution produces complex and structured networks of interacting components in chemical, biological...
In this paper we investigate the evolution of populations of sequences on a random catalytic network...
A general class of network models is described that can be used to present complex adaptive systems....
Complex systems of coupled dynamical units can often be understood as adaptive networks. In such net...
Complex systems of coupled dynamical units can often be understood as adaptive networks. In such net...
In this paper the authors investigate the evolution of populations of sequences on a random catalyti...
The interplay between topology and dynamics in complex networks is a fundamental but widely unexplor...
We consider the population dynamics of a set of species whose network of catalytic interactions is d...
A model of s interacting species is considered with two types of dynamical variables. The fast varia...
A model of s interacting species is considered with two types of dynamical variables. The fast varia...
A model of s interacting species is considered with two types of dynamical variables. The fast varia...
We study the multiscale structure of the Jain–Krishna adaptive network model. This model describes t...
We study the multiscale structure of the Jain–Krishna adaptive network model. This model describes t...
We study the multiscale structure of the Jain–Krishna adaptive network model. This model describes t...
Evolution produces complex and structured networks of interacting components in chemical, biological...
Evolution produces complex and structured networks of interacting components in chemical, biological...
In this paper we investigate the evolution of populations of sequences on a random catalytic network...
A general class of network models is described that can be used to present complex adaptive systems....
Complex systems of coupled dynamical units can often be understood as adaptive networks. In such net...
Complex systems of coupled dynamical units can often be understood as adaptive networks. In such net...
In this paper the authors investigate the evolution of populations of sequences on a random catalyti...
The interplay between topology and dynamics in complex networks is a fundamental but widely unexplor...