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....
Marginally Unstable Periodic Orbits in Semiclassical Mushroom Billiards (2009)
Andreasen, Jonathan, Cao, Hui, Wiersig, Jan, Motter, Adilson E.
Optical mushroom shaped billiards offer a unique opportunity to isolate and study non-dispersive, marginally unstable periodic orbits. Here we show that the openness of the cavity to external fields...
Time-metric equivalence and dimension change under time reparameterizations (2009)
Motter, Adilson E., Gelfert, Katrin
We study the behavior of dynamical systems under time reparameterizations, which is important not only to characterize chaos in relativistic systems but also to probe the invariance of dynamical...
Relativistic invariance of Lyapunov exponents in bounded and unbounded systems (2009)
Motter, Adilson E., Saa, Alberto
The study of chaos in relativistic systems has been hampered by the observer dependence of Lyapunov exponents (LEs) and of conditions, such as orbit boundedness, invoked in the interpretation of LEs...
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...
Beyond word frequency: Bursts, lulls, and scaling in the temporal distributions of words (2009)
Altmann, Eduardo G., Pierrehumbert, Janet B., Motter, Adilson E.
Zipf's discovery that word frequency distributions obey a power law established parallels between biological and physical processes, and language, laying the groundwork for a complex systems...
A Poissonian explanation for heavy-tails in e-mail communication (2009)
Malmgren, R. Dean, Stouffer, Daniel B., Motter, Adilson E., Amaral, Luis A. N.
Patterns of deliberate human activity and behavior are of utmost importance in areas as diverse as disease spread, resource allocation, and emergency response. Because of its widespread availability...
Fluctuation-driven capacity distribution in complex networks (2008)
Kim, Dong-Hee, Motter, Adilson E.
Maximizing robustness and minimizing cost are common objectives in the design of infrastructure networks. However, most infrastructure networks evolve and operate in a highly decentralized fashion,...
Predicting synthetic rescues in metabolic networks (2008)
Motter, Adilson E., Gulbahce, Natali, Almaas, Eivind, Barabasi, Albert-Laszlo
An important goal of medical research is to develop methods to recover the loss of cellular function due to mutations and other defects. Many approaches based on gene therapy aim to repair the...
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...
Resource allocation pattern in infrastructure networks (2008)
Kim, Dong-Hee, Motter, Adilson E.
Most infrastructure networks evolve and operate in a decentralized fashion, which may adversely impact the allocation of resources across the system. Here we investigate this question by focusing on...
Local structure of directed networks (2007)
Bianconi, Ginestra, Gulbahce, Natali, Motter, Adilson E.
Previous work on undirected small-world networks established the paradigm that locally structured networks tend to have high density of short loops. On the other hand, many realistic networks are...
Optimization in Networks (2007)
Motter, Adilson E., Toroczkai, Zoltan
The recent surge in the network modeling of complex systems has set the stage for a new era in the study of fundamental and applied aspects of optimization in collective behavior. This Focus Issue...
Can aerosols be trapped in open flows? (2007)
Vilela, Rafael D., Motter, Adilson E.
The fate of aerosols in open flows is relevant in a variety of physical contexts. Previous results are consistent with the assumption that such finite-size particles always escape in open chaotic...
Ensemble averageability in network spectra (2007)
Kim, Dong-Hee, Motter, Adilson E.
The extreme eigenvalues of connectivity matrices govern the influence of the network structure on a number of network dynamical processes. A fundamental open question is whether the eigenvalues of...
Bounding network spectra for network design (2007)
The identification of the limiting factors in the dynamical behavior of complex systems is an important interdisciplinary problem which often can be traced to the spectral properties of an underlying...
Dynamics on Complex Networks and Applications (2006)
Motter, Adilson E., Matias, Manuel A., Kurths, Juergen, Ott, Edward
At the eight-year anniversary of Watts & Strogatz's work on the collective dynamics of small-world networks and seven years after Barabasi & Albert's discovery of scale-free networks, the area of...
Dynamics on Complex Networks and Applications (Preface) (2006)
Motter, Adilson E., Matías, Manuel A., Kurths, Jürgen, Ott, Edward
Preface to Volume 224, Issues 1-2, Pages 1-214 (December 2006) of Physica D: Nonlinear Phenomena: "Dynamics on Complex Networks and Applications", edited by Adilson E. Motter, Manuel A. Matías,...
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...
Stochastic Model for Power Grid Dynamics (2006)
Anghel, Marian, Werley, Kenneth A., Motter, Adilson E.
We introduce a stochastic model that describes the quasi-static dynamics of an electric transmission network under perturbations introduced by random load fluctuations, random removing of system...
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 the synchronization of weighted random networks (2006)
Zhou, Changsong, Motter, Adilson E., Kurths, Jurgen
Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in the connection strengths. Here we study synchronization in weighted complex...
Stickiness in Hamiltonian systems: from sharply divided to hierarchical phase space (2006)
Altmann, Eduardo G., Motter, Adilson E., Kantz, Holger
We investigate the dynamics of chaotic trajectories in simple yet physically important Hamiltonian systems with non-hierarchical borders between regular and chaotic regions with positive measures. We...
Weighted networks are more synchronizable: how and why (2005)
Motter, Adilson E., Zhou, Changsong, Kurths, Juergen
Most real-world networks display not only a heterogeneous distribution of degrees, but also a heterogeneous distribution of weights in the strengths of the connections. Each of these heterogeneities...
Effective dynamics in Hamiltonian systems with mixed phase space (2005)
Motter, Adilson E., Grebogi, Celso, Kantz, Holger
An adequate characterization of the dynamics of Hamiltonian systems at physically relevant scales has been largely lacking. Here we investigate this fundamental problem and we show that the...
Stickiness in mushroom billiards (2005)
Altmann, Eduardo G., Motter, Adilson E., Kantz, Holger
We investigate dynamical properties of chaotic trajectories in mushroom billiards. These billiards present a well-defined simple border between a single regular region and a single chaotic component....
Network Synchronization, Diffusion, and the Paradox of Heterogeneity (2005)
Motter, Adilson E., Zhou, Changsong, Kurths, Juergen
Many complex networks display strong heterogeneity in the degree (connectivity) distribution. Heterogeneity in the degree distribution often reduces the average distance between nodes but,...
Enhancing complex-network synchronization (2004)
Motter, Adilson E., Zhou, Changsong, Kurths, Juergen
Heterogeneity in the degree (connectivity) distribution has been shown to suppress synchronization in networks of symmetrically coupled oscillators with uniform coupling strength (unweighted...
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...
Cascade control and defense in complex networks (2004)
Complex networks with heterogeneous distribution of loads may undergo a global cascade of overload failures when highly loaded nodes or edges are removed due to attacks or failures. Since a small...
Reactive dynamics of inertial particles in nonhyperbolic chaotic flows (2003)
Motter, Adilson E., Lai, Ying-Cheng, Grebogi, Celso
Anomalous kinetics of infective (e.g., autocatalytic) reactions in open, nonhyperbolic chaotic flows are important for many applications in biological, chemical, and environmental sciences. We...
Signatures of small-world and scale-free properties in large computer programs (2003)
Lai, Ying-Cheng, Motter, Adilson E.
A large computer program is typically divided into many hundreds or even thousands of smaller units, whose logical connections define a network in a natural way. This network reflects the internal...
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...
Relativistic chaos is coordinate invariant (2003)
The noninvariance of Lyapunov exponents in general relativity has led to the conclusion that chaos depends on the choice of the space-time coordinates. Strikingly, we uncover the transformation laws...
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...
Cascade-based attacks on complex networks (2003)
Motter, Adilson E., Lai, Ying-Cheng
We live in a modern world supported by large, complex networks. Examples range from financial markets to communication and transportation systems. In many realistic situations the flow of physical...
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...
Topology of the conceptual network of language (2002)
Motter, Adilson E., Lai, Ying-Cheng, Dasgupta, Partha
We define two words in a language to be connected if they express similar concepts. The network of connections among the many thousands of words that make up a language is important not only for the...
Cusp-scaling behavior in fractal dimension of chaotic scattering (2002)
Motter, Adilson E., Lai, Ying-Cheng
A topological bifurcation in chaotic scattering is characterized by a sudden change in the topology of the infinite set of unstable periodic orbits embedded in the underlying chaotic invariant set....
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...
Predicting synthetic rescues in metabolic networks
Motter, Adilson E, Gulbahce, Natali, Almaas, Eivind, Barabási, Albert-László
An important goal of medical research is to develop methods to recover the loss of cellular function due to mutations and other defects. Many approaches based on gene therapy aim to repair the...
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...
A Poissonian explanation for heavy tails in e-mail communication
Malmgren, R. Dean, Stouffer, Daniel B., Motter, Adilson E., Amaral, Luís A. N.
Patterns of deliberate human activity and behavior are of utmost importance in areas as diverse as disease spread, resource allocation, and emergency response. Because of its widespread availability...