
By Judith Lehnert
This study goals to accomplish a basic knowing of synchronization and its interaction with the topology of complicated networks. Synchronization is a ubiquitous phenomenon saw in several contexts in physics, chemistry, biology, drugs and engineering. so much prominently, synchronization happens within the mind, the place it's linked to numerous cognitive capacities yet is - in abundance - a attribute of neurological illnesses. in addition to zero-lag synchrony, crew and cluster states are thought of, allowing an outline and examine of advanced synchronization styles in the provided thought. Adaptive regulate equipment are constructed, which permit the keep an eye on of synchronization in eventualities the place parameters waft or are unknown. those equipment are, accordingly, of specific curiosity for experimental setups or technological functions. The theoretical framework is verified on universal types, coupled chemical oscillators and a number of other unique examples of neural networks.
Read Online or Download Controlling Synchronization Patterns in Complex Networks PDF
Similar system theory books
Algebraic Methods for Nonlinear Control Systems (Communications and Control Engineering)
It is a self-contained advent to algebraic keep an eye on for nonlinear platforms compatible for researchers and graduate scholars. it's the first publication facing the linear-algebraic method of nonlinear keep an eye on structures in this type of particular and wide style. It offers a complementary method of the extra conventional differential geometry and offers extra simply with a number of very important features of nonlinear structures.
Systemantics: How Systems Work and Especially How They Fail
Systemantics: How structures paintings and particularly How They Fail
Stock Market Modeling and Forecasting: A System Adaptation Approach
Inventory marketplace Modeling and Forecasting interprets event in approach edition received in an engineering context to the modeling of economic markets in an effort to enhancing the trap and figuring out of marketplace dynamics. The modeling approach is taken into account as determining a dynamic procedure within which a true inventory industry is taken care of as an unknown plant and the id version proposed is tuned by way of suggestions of the matching blunders.
Distributed Optimization-Based Control of Multi-Agent Networks in Complex Environments
This ebook bargains a concise and in-depth exposition of particular algorithmic strategies for disbursed optimization established keep an eye on of multi-agent networks and their functionality research. It synthesizes and analyzes allotted innovations for 3 collaborative initiatives: dispensed cooperative optimization, cellular sensor deployment and multi-vehicle formation keep an eye on.
- Ordinary Differential Equations: Analysis, Qualitative Theory and Control
- An Elementary Course in Synthetic Projective Geometry
- Complexity Management in Fuzzy Systems: A Rule Base Compression Approach
- Adaptive backstepping control of uncertain systems: Nonsmooth nonlinearities, interactions or time-variations
Extra resources for Controlling Synchronization Patterns in Complex Networks
Example text
G is the coupling matrix (see Sect. 1), and H is the coupling scheme determining which variables couple. H is taken to be the 2 × 2 identity matrix; this means that the x variable of node j at time t − τ is coupled to the x variable of node i at time t and analogously for the y variable but that there is no cross-coupling between the x and y variables.
Phys. Rev. Lett. 100, 144102 (2008) R. Solomonoff, A. Rapoport, Connectivety of random nets. Bull. Math. Biol. 13, 107 (1951) F. Sorrentino, Group synchrony, parameter mismatches, and intragroup connections, to be published (2014) M. Timme, T. Geisel, F. Wolf, Speed of synchronization in complex networks of neural oscillators: analytic results based on random matrix theory. P. F. Abbott, Gating multiple signals through detailed balance of excitation and inhibition in spiking networks. Nat. Neurosci.
Omel’chenko, Chimera states are chaotic transients. Phys. Rev. E 84, 015201 (2011) M. E. Omel’chenko, S. Yanchuk, Y. Maistrenko, Spectral properties of chimera states. Chaos 21, 013112 (2011) A. Zakharova, M. Kapeller, E. Schöll, Chimera death: symmetry breaking in dynamical networks. Phys. Rev. Lett. 112, 154101 (2014) Part I Stability of Synchronization Chapter 3 Synchronization in Complex Networks In the previous chapter, complex dynamical networks have been introduced. One particularly interesting dynamical state on a network is synchronization because synchrony phenomena are ubiquitous in nature and engineering, as discussed in detail in Chap.