Delay Controlled Partial Synchronization in Complex Networks Ebook

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The focus of this thesis are synchronization phenomena in networks and their intrinsic control through time delay which is ubiquitous in real-world systems ranging from physics and acoustics to neuroscience and engineering We encounter synchronization everywhere and it can be either a helpful or a detrimental mechanism In the first part after a survey of complex nonlinear systems and networks we show that a seemingly simple system of two organ pipes gives birth to complex bifurcation and synchronization scenarios Going from a 2-oscillator system to a ring of oscillators we encounter the intriguing phenomenon of chimera states which are partial synchrony patterns with coexisting domains of synchronized and desynchronized dynamics For more than a decade scientist have tried to solve the puzzle of this spontaneous symmetry-breaking emerging in networks of identical elements We provide an analysis of initial conditions and extend our model by the addition of time delay and fractal connectivities In the second part we investigate partial synchronization patterns in a neuronal network and explain dynamical asymmetry arising from the hemispheric structure of the human brain A particular focus is on the novel scenario of partial relay synchronization in multiplex networks Such networks allow for synchronization of the coherent domains of chimera states via a remote layer whereas the incoherent domains remain desynchronized The theoretical framework is demonstrated with different generic modelsDelay Controlled Partial Synchronization in Complex Networks EbookBy Jakub Sawicki Publisher Springer Print ISBN 9783030340759 3030340759 eText ISBN 9783030340766 3030340767 Copyright year 2019 Format EPUB Available from 14900 USD SKU 9783030340766

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9783030340759

The focus of this thesis are synchronization phenomena in networks and their intrinsic control through time delay which is ubiquitous in real-world systems ranging from physics and acoustics to neuroscience and engineering We encounter synchronization everywhere and it can be either a helpful or a detrimental mechanism In the first part after a survey of complex nonlinear systems and networks we show that a seemingly simple system of two organ pipes gives birth to complex bifurcation and synchronization scenarios Going from a 2-oscillator system to a ring of oscillators we encounter the intriguing phenomenon of chimera states which are partial synchrony patterns with coexisting domains of synchronized and desynchronized dynamics For more than a decade scientist have tried to solve the puzzle of this spontaneous symmetry-breaking emerging in networks of identical elements We provide an analysis of initial conditions and extend our model by the addition of time delay and fractal connectivities In the second part we investigate partial synchronization patterns in a neuronal network and explain dynamical asymmetry arising from the hemispheric structure of the human brain A particular focus is on the novel scenario of partial relay synchronization in multiplex networks Such networks allow for synchronization of the coherent domains of chimera states via a remote layer whereas the incoherent domains remain desynchronized The theoretical framework is demonstrated with different generic modelsDelay Controlled Partial Synchronization in Complex Networks EbookBy Jakub Sawicki Publisher Springer Print ISBN 9783030340759 3030340759 eText ISBN 9783030340766 3030340767 Copyright year 2019 Format EPUB Available from 14900 USD SKU 9783030340766