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In complex systems, the interplay between nonlinear and stochastic dynamics, e.g., J. Monod's necessity and chance, gives rise to an evolutionary process in Darwinian sense, in terms of discrete jumps among attractors, with punctuated…

Adaptation and Self-Organizing Systems · Physics 2013-03-18 Hong Qian

We survey the recent progress made in understanding non equilibrium dynamics in closed random systems. The emphasis is on the important role played by concepts from quantum information theory and on the application of systematic…

Disordered Systems and Neural Networks · Physics 2015-09-21 Ehud Altman , Ronen Vosk

Constraints on changes in expression levels across all cell components imposed by the steady growth of cells have recently been discussed both experimentally and theoretically. By assuming a small environmental perturbation and considering…

Populations and Evolution · Quantitative Biology 2018-04-18 Chikara Furusawa , Kunihiko Kaneko

The networks of predator-prey interactions in ecological systems are remarkably complex, but nevertheless surprisingly stable in terms of long term persistence of the system as a whole. In order to understand the mechanism driving the…

Populations and Evolution · Quantitative Biology 2015-06-05 Korinna T. Allhoff , Daniel Ritterskamp , Björn C. Rall , Barbara Drossel , Christian Guill

The dynamics of irreversible relaxation of non-equilibrium macroscopic systems is discussed. Arguments are developed showing that the general process is supported by two independent successive mechanisms. One is mixing and it follows pure…

chao-dyn · Physics 2008-02-03 X de Hemptinne

Locomotion is essential for living cells. It enables bacteria and algae to explore space for food, cancer to spread, and immune system to fight infections. Motile cells display trajectories of intriguing complexity, from regular (e.g.…

Soft Condensed Matter · Physics 2021-12-28 C. Misbah , M. S. Rizvi , W. F. Hu , T. S. Lin , S. Rafai , A. Farutin

The quest to comprehend the origins of intelligence raises intriguing questions about the evolution of learning abilities in natural systems. Why do living organisms possess an inherent drive to acquire knowledge of the unknown? Is this…

Neurons and Cognition · Quantitative Biology 2023-10-05 Alex Ushveridze

Operation of autonomic communication networks with complicated user-oriented functions should be described as unreduced many-body interaction process. The latter gives rise to complex-dynamic behaviour including fractally structured…

General Physics · Physics 2007-10-22 Andrei P. Kirilyuk

Motivated by the results of recent laboratory experiments (Yoshida et al. Nature, 424, 303-306 (2003)) as well as many earlier field observations that evolutionary changes can take place in ecosystems over relatively short ecological time…

Populations and Evolution · Quantitative Biology 2007-05-23 Debashish Chowdhury , Dietrich Stauffer

A non-statistical theory of continuous, but irreversible, evolution can be constructed in terms of the Cartan calculus. The fundamental postulate, for an evolutionary theory which admits irreversible processes, is that the topology of the…

Mathematical Physics · Physics 2007-05-23 R. M. Kiehn

The origin of life must have been preceded by Darwin-like evolutionary dynamics that could propagate it. How did that adaptive dynamics arise? And from what prebiotic molecules? Using evolutionary invasion analysis, we develop a universal…

Populations and Evolution · Quantitative Biology 2024-07-25 Charles D. Kocher , Ken A. Dill

We consider emergence from the perspective of dynamics: states of a system evolving with time. We focus on the role of a decomposition of wholes into parts, and attempt to characterize relationships between levels without reference to…

History and Philosophy of Physics · Physics 2024-10-22 Sean M. Carroll , Achyuth Parola

Dynamics, the study of change, is normally the subject of mechanics. Whether the chosen mechanics is ``fundamental'' and deterministic or ``phenomenological'' and stochastic, all changes are described relative to an external time. Here we…

Mathematical Physics · Physics 2009-10-31 Ariel Caticha

The delayed logistic equation (also known as Hutchinson's equation or Wright's equation) was originally introduced to explain oscillatory phenomena in ecological dynamics. While it motivated the development of a large number of mathematical…

Dynamical Systems · Mathematics 2019-10-02 Ruth E. Baker , Gergely Röst

To account for the origin of information accumulation in nature despite the entropy-increase law, we advocate a universal mechanism due to competition/selection of general composite entities, from simple to complex. To confirm its…

General Physics · Physics 2016-04-01 Keiichi Akama

Understanding the stability of complex communities is a central focus in ecology, many important theoretical advancements have been made to identify drivers of ecological stability. However, previous results often rely on the…

Populations and Evolution · Quantitative Biology 2025-04-04 Shuaiying Wang , Yuguang Yang , Aming Li

The path toward the emergence of life in our biosphere involved several key events allowing for the persistence, reproduction and evolution of molecular systems. All these processes took place in a given environmental context and required…

Disordered Systems and Neural Networks · Physics 2025-04-14 Ricard Solé , Manlio De Domenico

Systems that exhibit complex behaviours are often found in a particular dynamical condition, poised between order and disorder. This observation is at the core of the so-called criticality hypothesis, which states that systems in a…

Adaptation and Self-Organizing Systems · Physics 2016-09-19 Andrea Roli , Marco Villani , Alessandro Filisetti , Roberto Serra

A dynamic earthquake source process is modeled by assuming interaction among frictional heat, fluid pressure, and inelastic porosity. In particular, fluid pressure increase due to frictional heating (thermal pressurization effect) and fluid…

Geophysics · Physics 2017-09-13 Takehito Suzuki

Emergence, the phenomena where a system's micro-scale dynamics facilitate the development of non-trivial, informative higher scales, has become a foundational concept in modern sciences, tying together fields as diverse as physics, biology,…

Cellular Automata and Lattice Gases · Physics 2020-03-31 Thomas F. Varley