25 papers · ranked by Valyu relevance
Yanbo Zhang, Michael Levin
Scientific data, from cellular snapshots in biology to celestial distributions in cosmology, often consists of static patterns from underlying dynamical systems. These snapshots, while lacking temporal ordering, implicitly encode the processes that preserve them. This work investigates how strongly such a distribution…
Gabriel Marghoti, Matheus Palmero Silva, Thiago de Lima Prado, Sergio Roberto Lopes + 2 more
1 Physics Department, Federal University of Paran´a, Curitiba, Paran´a 81530-015, Brazil 2 Potsdam Institute for Climate Impact Research, Member of the Leibniz Association, Telegraphenberg, 14473 Potsdam, Germany 3 Institute of Mathematical and Computer Sciences, University of S˜ao Paulo, 13560-970 S˜ao Carlos, SP…
Ruwei Yao, Yichao Li, Xintong Yao, Kang Wang + 3 more
Whole brain neural oscillation activities exhibit multiple wave patterns and seem to be supported by the common circuit network structure. We proposed a Hebbian-like Kuramoto model based entirely on heterogeneous connectivity strength rather than phase delay, which encodes the multiple phase patterns as attractors. We…
William Sulis
The full range of biopsychosocial complexity is mind-boggling, spanning a vast range of spatiotemporal scales with complicated vertical, horizontal, and diagonal feedback interactions between contributing systems. It is unlikely that such complexity can be dealt with by a single model. One approach is to focus on a…
Dionysios Perdikis, Raoul Huys, Viktor K. Jirsa, Danielle S. Bassett
Traditional approaches to cognitive modelling generally portray cognitive events in terms of ‘discrete’ states (point attractor dynamics) rather than in terms of processes, thereby neglecting the time structure of cognition. In contrast, more recent approaches explicitly address this temporal dimension, but typically…
Charles L. Webber Jr.
By definition, fractal structures possess recurrent patterns. At different levels repeating patterns can be visualized at higher magnifications. The purpose of this chapter is threefold. First, general characteristics of dynamical systems are addressed from a theoretical mathematical perspective. Second, qualitative…
Alejandra C. Ventura, Horacio G. Rotstein
Degeneracy in dynamic models refers to these situations where multiple combinations of parameter values produce identical patterns for the observable variable. We investigate this phenomenon in two qualitatively different adaptive circuit mechanisms: nonlinear feedback loop (NFBL) and incoherent feedback loop (IFFL).…
Gaurav Patil, Patrick Nalepka, Rachel W. Kallen, Michael J. Richardson
'Michael J. Richardson'] Most human actions are composed of two fundamental movement types, discrete and rhythmic movements. These movement types, or primitives, are analogous to the two elemental behaviors of nonlinear dynamical systems, namely, fixed-point and limit cycle behavior, respectively. Furthermore, there is…
Colin Shea-Blymyer, Subhradeep Roy, Benjamin Jantzen, Ernestina Menasalvas
'Ernestina Menasalvas'] Many problems in the study of dynamical systems-including identification of effective order, detection of nonlinearity or chaos, and change detection-can be reframed in terms of assessing the similarity between dynamical systems or between a given dynamical system and a reference. We introduce a…
Evan D. Remington, Devika Narain, Eghbal A. Hosseini, Mehrdad Jazayeri
Sensorimotor computations can be flexibly adjusted according to internal states and contextual inputs. The mechanisms supporting this flexibility are not understood. Here, we tested the utility of a dynamical system perspective to approach this problem. In a dynamical system whose state is determined by interactions…
Thomas M. Bury, R. I. Sujith, Induja Pavithran, Marten Scheffer + 3 more
Many natural systems exhibit regime shifts where slowly changing environmental conditions suddenly shift the system to a new and sometimes very different state. As the tipping point is approached, the dynamics of complex and varied systems all simplify down to a small number of possible ‘normal forms’ that determine…
Jan Philipp Pade, Serhiy Yanchuk, Liang Zhao
We show that a ring of phase oscillators coupled with transmission delays can be used as a pattern recognition system. The introduced model encodes patterns as stable periodic orbits. We present a detailed analysis of the underlying dynamics. In particular, we show that the system possesses a multitude of periodic…
Fergal Byrne
Reverse engineering the brain is proving difficult, perhaps impossible. While many believe that this is just a matter of time and effort, a different approach might help. Here, we describe a very simple idea which explains the power of the brain as well as its structure, exploiting complex dynamics rather than…
Jia Lu, Ryan Tsoi, Nan Luo, Yuanchi Ha + 8 more
Dynamical systems often generate distinct outputs according to different initial conditions, and one can infer the corresponding input configuration given an output. This property captures the essence of information encoding and decoding. Here, we demonstrate the use of self-organized patterns, combined with machine…
Daniel Durstewitz, Quentin J. M. Huys, Georgia Koppe
This review provides a dynamical systems perspective on psychiatric symptoms and disease, and discusses its potential implications for diagnosis, prognosis, and treatment. After a brief introduction into the theory of dynamical systems, we will focus on the idea that cognitive and emotional functions are implemented in…
Neetu ., Aman Saini, Rishi Ram Mahato, Priyanka . + 1 more
The theory behind origin of life to Darwinian evolution considers emergence of dissipative structures driven by the flow of energy across all length scales. To this end, developing and deeper understanding of non-equilibrium self-assembly processes under continuous supply of energy is a demanding matter, both in…
Tosif Ahamed, Antonio C. Costa, Greg J. Stephens
Animal behavior is often quantified through subjective, incomplete variables that may mask essential dynamics. Here, we develop a behavioral state space in which the full instantaneous state is smoothly unfolded as a combination of short-time posture dynamics. Our technique is tailored to multivariate observations and…
Vit Piskovsky
The spatiotemporal patterns of predators and their prey play a pivotal role in ecology and ecological interactions can drive their formation at fine scales (1). While motility can explain the emergence of such predator-prey patterns (2–14) via the Turing mechanism (15), the predicted Turing patterns do not exhibit…
Chulwook Park
One of the basic frameworks in science views behavioral products as a process within a dynamic system. The mechanism might be seen as a representation of many instances of centralized control in real time. Many real systems, however, exhibit autonomy by denying statically treated mechanisms. This study addresses the…
Jamie C. Gorman, Terri A. Dunbar, David Grimm, Christina L. Gipson
By its very nature, much of teamwork is distributed across, and not stored within, interdependent people working toward a common goal. In this light, we advocate a systems perspective on teamwork that is based on general coordination principles that are not limited to cognitive, motor, and physiological levels of…
Martina Crippa, Claudio Perego, Anna de Marco, Giovanni M. Pavan
Supramolecular polymers are composed of monomers that self-assemble non-covalently, generating distributions of monodimensional fibres in continuous communication with each other and with the surrounding solution. Fibres, exchanging molecular species, and external environment constitute a sole complex system, which…
Yoshiharu Mukouyama, Kenya Tanaka, Shuji Nakanishi, Yoshihiro Nakato
The present work reveals that a prebiotic chemical system can generate self-organizing ability that leads to highly ordered structures and an active character such as free independent harmonious behavior. This result is the properties of natural things that have long been overlooked since Darwin’s theory of evolution…
Yoshiharu Mukouyama, Kenya Tanaka, Shuji Nakanishi, Yoshihiro Nakato
The emergence of life on Earth has attracted intense attention but remains unclear. A key problem is that the question of how living organisms can exhibit self-organizing ability that leads to highly ordered structures and active free independent behavior remains unanswered. This work reveals, by computer simulation…
Justin Eilertsen, Wylie Stroberg, Santiago Schnell
The determination of a substrate or enzyme activity by coupling of one enzymatic reaction with another easily detectable (indicator) reaction is a common practice in the biochemical sciences. Usually, the kinetics of enzyme reactions is simplified with singular perturbation analysis to derive rate or time course…
Authors not listed
Collective variables (CVs) are essential for interpreting and accelerating rare events in molecular simulations. However, their design remains limited by the requirement of differentiability with respect to atomic coordinates. This constraint excludes many powerful structural descriptors that are routinely used for…