Titlebook: Advances in Dynamics, Patterns, Cognition; Challenges in Comple Igor S. Aranson,Arkady Pikovsky,Lev S. Tsimring Book 2017 Springer Internat

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Reiko Ohmori,Tamahi Kato,Kumiko Sakamototo unravel the global organization of bi-parametric structures that underlie the emergence of chaos in a simplified resonantly coupled wave triplet system, known as the Rabinovich system. Bi-parametric scans reveal the stunning intricacy and intramural connections between homoclinic and heteroclinic

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Australian Feminist Digital Activism,namics. Here we introduce the notion of intrinsic stability, which is stronger than the standard notion of stability used in the study of network dynamics or more generally in the study of multidimensional systems. The difference between a stable and an intrinsically stable network is that an intrin

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Australian Feminist Digital Activism,ation, neuronal and biological networks. An interesting form of synchronization is cluster synchronization where the network becomes partitioned into groups of oscillator nodes which synchronize to each other, but not to other nodes in other groups or clusters. We present a technique and develop met

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https://doi.org/10.1007/978-94-009-8253-6ew our recent results and show that the addition of pairwise repulsive inhibition to excitatory networks of bursting neurons induces synchrony, in contrast to one’s expectations. Through stability analysis, we reveal the mechanism underlying this purely synergistic phenomenon and demonstrate that it

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https://doi.org/10.1007/978-94-009-8788-3natural explanation for neuronal activity that is formulated in terms of dynamical systems and attracting sets. We will see that the free-energy principle emerges when we consider the ensemble dynamics of any pattern forming, self-organizing system. When we look closely what this principle implies f