Nishikawa, Takashi, Motter, Adilson E.
Synchronization, in which individual dynamical units keep in pace with each other in a decentralized fashion, depends both on the dynamical units and on the properties of the interaction network....
Spontaneous Reaction Silencing in Metabolic Optimization (2009)
Nishikawa, Takashi, Gulbahce, Natali, Motter, Adilson E.
Metabolic reactions of single-cell organisms are routinely observed to become dispensable or even incapable of carrying activity under certain circumstances. Yet, the mechanisms as well as the range...
Master Stability Functions for Coupled Near-Identical Dynamical Systems (2008)
Sun, Jie, Bollt, Erik M., Nishikawa, Takashi
We derive a master stability function (MSF) for synchronization in networks of coupled dynamical systems with small but arbitrary parametric variations. Analogous to the MSF for identical systems,...
Synchronization Stability of Coupled Near-Identical Oscillator Network (2008)
Sun, Jie, Bollt, Erik M., Nishikawa, Takashi
We derive variational equations to analyze the stability of synchronization for coupled near-identical oscillators. To study the effect of parameter mismatch on the stability in a general fashion, we...
Constructing Generalized Synchronization Manifolds by Manifold Equation (2008)
Sun, Jie, Bollt, Erik M., Nishikawa, Takashi
Full understanding of synchronous behavior in coupled dynamical systems beyond the identical case requires an explicit construction of the generalized synchronization manifold, whether we wish to...
Sun, Jie, Nishikawa, Takashi, Ben-Avraham, Daniel
We study a new class of networks, generated by sequences of letters taken from a finite alphabet consisting of $m$ letters (corresponding to $m$ types of nodes) and a fixed set of connectivity rules....
Attacks and Cascades in Complex Networks (2008)
Ying-cheng Lai, Adilson E. Motter, Takashi Nishikawa
Abstract. This paper reviews two problems in the security of complex networks: cascades of overload failures on nodes and range-based attacks on links. Cascading failures have been reported for...
Invariant Sets for Discontinuous Parabolic Area-Preserving Torus Maps (2007)
Peter Ashwin, Xin-chu Fu, Takashi Nishikawa, Centrum Fizyki, Teoretycznej Pan
We analyze a class of piecewise linear parabolic maps on the torus, namely those obtained by considering a linear map with double eigenvalue one and taking modulo one in both components. We show that...
Maximum Performance at Minimum Cost in Network Synchronization (2006)
Nishikawa, Takashi, Motter, Adilson E.
We consider two optimization problems on synchronization of oscillator networks: maximization of synchronizability and minimization of synchronization cost. We first develop an extension of the...
Synchronization is optimal in non-diagonalizable networks (2006)
Nishikawa, Takashi, Motter, Adilson E.
We consider the problem of maximizing the synchronizability of oscillator networks by assigning weights and directions to the links of a given interaction topology. We first extend the well-known...
Universality in active chaos (2004)
Tel, Tamas, Nishikawa, Takashi, Motter, Adilson E., Grebogi, Celso, Toroczkai, Zoltan
Many examples of chemical and biological processes take place in large-scale environmental flows. Such flows generate filamental patterns which are often fractal due to the presence of chaos in the...
Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize? (2003)
Nishikawa, Takashi, Motter, Adilson E., Lai, Ying-Cheng, Hoppensteadt, Frank C.
Small-world and scale-free networks are known to be more easily synchronized than regular lattices, which is usually attributed to the smaller network distance between oscillators. Surprisingly, we...
Large-scale structural organization of social networks (2003)
Motter, Adilson E., Nishikawa, Takashi, Lai, Ying-Cheng
The characterization of large-scale structural organization of social networks is an important interdisciplinary problem. We show, by using scaling analysis and numerical computation, that the...
System of phase oscillators with diagonalizable interaction (2003)
Nishikawa, Takashi, Hoppensteadt, Frank C.
We consider a system of N phase oscillators having randomly distributed natural frequencies and diagonalizable interactions among the oscillators. We show that in the limit of N going to infinity,...
Smallest small-world network (2002)
Nishikawa, Takashi, Motter, Adilson E., Lai, Ying-Cheng, Hoppensteadt, Frank C.
Efficiency in passage times is an important issue in designing networks, such as transportation or computer networks. The small-world networks have structures that yield high efficiency, while...
Motter, Adilson E., Nishikawa, Takashi, Lai, Ying-Cheng
The small-world phenomenon in complex networks has been identified as being due to the presence of long-range links, i.e., links connecting nodes that would otherwise be separated by a long...
Thesis research directed by Applied Mathematics Program.
Invariant sets for discontinuous parabolic area-preserving torus maps (1999)
Ashwin, Peter, Fu, Xin-Chu, Nishikawa, Takashi, Zyczkowski, Karol
We analyze a class of piecewise linear parabolic maps on the torus, namely those obtained by considering a linear map with double eigenvalue one and taking modulo one in each component. We show that...
Linear Parabolic Maps on the Torus (1999)
Zyczkowski, Karol, Nishikawa, Takashi
We investigate linear parabolic maps on the torus. In a generic case these maps are non-invertible and discontinuous. Although the metric entropy of these systems is equal to zero, their dynamics is...
Chemical Vapor Deposition With Silane and Acetylene in Micro-Capillary. (1998)
Nishikawa, Takashi, Yano, Mototake
In preparing to fill porous matrix or preform, to clarify the reaction rate is very important to determine the reaction condition. Therefore, deposited rate and mechanism of SiC were investigated as...
Email Alerting, Yoshitsugu Nakagawa, Yoshitaka Ikejiri, Takashi Nishikawa, Kazuhito Shinozaki, Hirotaka Tanabe, ...
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Fractalization of Torus Revisited as a Strange Nonchaotic Attractor (1996)
Nishikawa, Takashi, Kaneko, Kunihiko
Fractalization of torus and its transition to chaos in a quasi-periodically forced logistic map is re-investigated in relation with a strange nonchaotic attractor, with the aid of functional equation...
HEMISPATIAL NEGLECT IN A PATIENT WITH CALLOSAL INFARCTION (1990)
KASHIWAGI, ASAKO, KASHIWAGI, TOSHIHIRO, NISHIKAWA, TAKASHI, TANABE, HIROTAKA, OKUDA, JUN-ICHIRO
Left hemispatial neglect, confined to right-hand and verbal responses, was exhibited by a 56-yr-old right-handed male patient with callosal lesions due to cerebral infarction. Various disconnection...
Spontaneous Reaction Silencing in Metabolic Optimization
Nishikawa, Takashi, Gulbahce, Natali, Motter, Adilson E.
Metabolic reactions of single-cell organisms are routinely observed to become dispensable or even incapable of carrying activity under certain circumstances. Yet, the mechanisms as well as the range...