26 papers · ranked by Valyu relevance
Guillermo Dávila, Antonio Moránte, José A. Vallejo
The synchronization between two dynamical systems is one of the most appealing phenomena occuring in Nature. Already observed by Huygens in the case of two pendula, it is a current area of research in the case of chaotic systems, with numerous applications in Physics, Biology or Engineering. We present an elementary…
Usha Kadiyala, David Sprinzak, Nicholas A. M. Monk, Shannon E. Taylor + 6 more
'Shannon E. Taylor' 'Berta Verd' 'Katharina F. Sonnen' 'Lauren Moon' 'Adrienne H. K. Roeder' 'Ruben Perez-Carrasco' 'Pau Formosa-Jordan'] Title: ABSTRACT Developmental biology seeks to unravel the intricate regulatory mechanisms orchestrating the transformation of a single cell into a complex, multicellular organism.…
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…
Enrique Morales, Cesar Bordehore, Héctor M. Pastor, David García-García
Stella Architect (iSee Systems) offers an object-oriented environment that facilitates the development of dynamic models. Stella, however, does not support some of the advanced mathematical tools that can be found in mathematical software such as R. Moreover, R is open source, contains numerous libraries and resources…
Buğçe Eminağa, Hatice Aktöre, Mustafa Riza
This study introduces a modified quadratic Lorenz attractor. The properties of this new chaotic system are analysed and discussed in detail, by determining the equilibria points, the eigenvalues of the Jacobian, and the Lyapunov exponents. The numerical simulations, the time series analysis, and the projections to the…
Sean T. Vittadello, Léo Diaz, Yujing Liu, Adriana Zanca + 1 more
An adult human body is made up of some 30 to 40 trillion cells, all of which stem from a single fertilized egg cell. The process by which the right cells appear to arrive in their right numbers at the right time at the right place - development - is only understood in the roughest of outlines. This process does not…
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…
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…
Franco Blanchini, Elisa Franco, Giulia Giordano
Molecular systems are uncertain: the variability of reaction parameters and the presence of unknown interactions can weaken the predictive capacity of solid mathematical models. However, strong conclusions on the admissible dynamic behaviors of a model can often be achieved without detailed knowledge of its specific…
Behnaz Koocheck Shooshtari, AbdolMohammad Forouzanfar, MohammadReza Molaei
'MohammadReza Molaei'] In this article a non-autonomous unified chaotic system with continuous periodic switch between the Chen and Lorenz systems is introduced. Dynamical behaviors of this system are investigated. We consider the identical (complete) synchronization of the bi-directionally coupled between two…
Sergio Cobo-López, Matthew Witt, Lucas J. Carbajal, Forest L. Rohwer + 1 more
All dynamical systems are transient. The dynamics of our world at biogeochemical, ecological, and astronomical scales exist in a transient state because the Earth, Sun, and universe are evolving toward thermodynamic equilibrium. However, predicting the tipping points associated with major dynamical shifts in these…
Petr Klán
Dynamical systems are used as a general label to discuss issues regarding dynamics in all environments where changes take place from the simplest particles to social system [2]. There are much effort to introduce dynamical systems and their activating and inhibiting mechanisms more formally [8]. It results in a…
Roel Dobbe, Claire J. Tomlin
The advent of biological data of increasingly higher resolution in space and time has triggered the use of dynamic models to explain and predict the evolution of biological systems over space and time. Computer-aided system modeling and analysis in biology has led to many new discoveries and explanations that would…
Г. А. Леонов, Н. В. Кузнецов, T. N. Mokaev
In this paper, we discuss self-excited and hidden attractors for systems of dierential equations. We considered the example of a Lorenz-like system derived from the well-known Glukhovsky{Dolghansky and Rabinovich systems, to demonstrate the analysis of self-excited and hidden attractors and their characteristics. We…
Yevhen F. Suprunenko, Aneta Stefanovska
Chronotaxic systems represent deterministic nonautonomous oscillatory systems which are capable of resisting continuous external perturbations while having a complex time-dependent dynamics. Until their recent introduction in Phys. Rev. Lett. 111, 024101 (2013) chronotaxic systems had often been treated as stochastic…
Jane Kondev, Marc Kirschner, Hernan G. Garcia, Gabriel L. Salmon + 1 more
Many biological processes can be thought of as the result of an underlying dynamics in which the system repeatedly undergoes distinct and abortive trajectories with the dynamical process only ending when some specific process, purpose, structure or function is achieved. A classic example is the way in which…
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…
Charlotte Werndl
From the beginning of chaos research until today, the unpredictability of chaos has been a central theme. It is widely believed and claimed by philosophers, mathematicians and physicists alike that chaos has a new implication for unpredictability, meaning that chaotic systems are unpredictable in a way that other…
Jan J. Kuiper, Bob W. Kooi, Garry D. Peterson, Wolf M. Mooij
Ecologists are challenged by the need to bridge and synthesize different approaches and theories to obtain a coherent understanding of ecosystems in a changing world. Both food web theory and regime shift theory shine light on mechanisms that confer stability to ecosystems, but from a different angle. Empirical food…
Jonathan V. Krispin
The present article focuses on presentations from the second topical cluster from the 2024 Theory and Philosophy Conference held by the ABAI-Cultural Systems. The cultural systems cluster was comprised of two primary talks-“Unhinging Design from Darwinian and Skinnerian Selection” (Wasserman, [37]), and a second…
Mohsen Farshad
Providing a simple description of entropy as the foundation of thermodynamics is necessary for researchers in explaining physical phenomena in the universe. Here we dive deep into the meaning of entropy starting from the basics and ending with the Newton's second law of motion which may be rooted in a hidden dimension…
T. S. Sachin Venkatesh, Vishak Vikranth
We review the properties of fractals, the Mandelbrot set and how deterministic chaos ties to the picture. A detailed study on three body systems, one of the major applications of chaos theory was undertaken. Systems belonging to different families produced till date were studied and their properties were analysed. We…
Authors not listed
Molecular dynamics (MD) and hybrid quantum–classical (QM/MM) methods provide powerful tools for simulating chemical and biological systems, yet their application to long-timescale, strongly coupled processes remains limited by non-integrability, chaotic sensitivity, and extreme time-scale separation. These limitations…
Justin Eilertsen, Wylie Stroberg, Santiago Schnell
A theoretical analysis is performed on the nonlinear ordinary differential equations that govern the dynamics of a coupled enzyme catalyzed reaction. The assay consists of a non-observable reaction and an indicator (observable) reaction, where the product of the first reaction is the enzyme for the second. Both…
Eric Koessler, Arkajit Mandal, Pengfei Huo
We derive the L-MFE method to incorporate Lindblad jump operator dynamics into the mean-field Ehrenfest (MFE) approach. We map the density matrix evolution of Lindblad dynamics onto pure state coefficients using trajectory averages. We use simple assumptions to construct the L-MFE method that satisfies this exact…
Authors not listed
The GENERIC framework provides a robust structure for nonequilibrium dynamics but lacks a principled method to select reversible ($L$) and irreversible ($M$) brackets. Similarly, finite-time optimizations minimizing path-averaged reciprocal temperature exist but remain isolated. Here, we introduce the \textbf{Entropy…