Delay-induced synchrony in complex networks with conjugate coupling.
نویسندگان
چکیده
We demonstrate stable synchronous chaos in a delay coupled network of time continuous dynamical system using the framework of master stability formalism (MSF). It is further shown that conjugate coupling, i.e., coupling using dissimilar variables, can substitute delay coupling of similar variables in retrieving delay-induced phenomena. By exploiting the MSF, we show that delayed conjugate coupling in an arbitrary network is capable of both inducing synchronization where there is no synchronization at all and enhancing synchronization to a large parameter space, which even the conjugate coupling without delay is incapable of. The above results are demonstrated using the paradigmatic Rössler system and Hindmarsh-Rose neuron.
منابع مشابه
Synchronization analysis of complex dynamical networks with hybrid coupling with application to Chua’s circuit
Complex dynamic networks have been considered by researchers for their applications in modeling and analyzing many engineering issues. These networks are composed of interconnected nodes and exhibit complex behaviors that are resulted from interactions between these nodes. Synchronization, which is the concept of coordinated behavior between nodes, is the most interested behavior in these netwo...
متن کاملSynchronization for Complex Dynamic Networks with State and Coupling Time-Delays
This paper is concerned with the problem of synchronization for complex dynamic networks with state and coupling time-delays. Therefore, larger class and more complicated complex dynamic networks can be considered for the synchronization problem. Based on the Lyapunov-Krasovskii functional, a delay-independent criterion is obtained and formulated in the form of linear matrix inequalities (LMIs)...
متن کاملHeterogeneous Delays in Neural Networks
We investigate heterogeneous coupling delays in complex networks of excitable elements described by the FitzHugh-Nagumo model. The effects of discrete as well as of uniand bimodal continuous distributions are studied with a focus on different topologies, i.e., regular, small-world, and random networks. In the case of two discrete delay times resonance effects play a major role: Depending on the...
متن کاملBreaking synchrony by heterogeneity in complex networks.
For networks of pulse-coupled oscillators with complex connectivity, we demonstrate that in the presence of coupling heterogeneity precisely timed periodic firing patterns replace the state of global synchrony that exists in homogenous networks only. With increasing disorder, these firing patterns persist until a critical temporal extent is reached that is of the order of the interaction delay....
متن کاملEnhancement of neural synchrony by time delay.
In a network of neuronal oscillators with time-delayed coupling, we uncover a phenomenon of enhancement of neural synchrony by time delay: a stable synchronized state exists at low coupling strengths for significant time delays. By formulating a master stability equation for time-delayed networks of Hindmarsh-Rose neurons, we show that there is always an extended region of stable synchronous ac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 85 5 Pt 2 شماره
صفحات -
تاریخ انتشار 2012