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We developed a powerful computational approach to elaborate on onset mechanisms of deterministic chaos due to complex homoclinic bifurcations in diverse systems. Its core is the reduction of phase space dynamics to symbolic binary…

Chaotic Dynamics · Physics 2018-11-07 Krishna Pusuluri , Andrey L Shilnikov

The accurate computational determination of chemical, materials, biological, and atmospheric properties has critical impact on a wide range of health and environmental problems, but is deeply limited by the computational scaling of…

Chemical Physics · Physics 2021-06-09 Debadrita Saha , Srinivasan S. Iyengar , Philip Richerme , Jeremy M. Smith , Amr Sabry

Iteration method is commonly used in solving linear systems of equations. We present quantum algorithms for the relaxed row and column iteration methods by constructing unitary matrices in the iterative processes, which generalize row and…

Quantum Physics · Physics 2022-06-29 Xiao-Qi Liu , Jing Wang , Ming Li , Shu-Qian Shen , Weiguo Li , Shao-Ming Fei

Experimentalists seeking to improve the coherent lifetimes of quantum bits have generally focused on mitigating decoherence mechanisms through, for example, improvements to qubit designs and materials, and system isolation from…

Quantum Physics · Physics 2016-08-17 H. Ball , W. D. Oliver , M. J. Biercuk

Proper vertebrae formation relies on a tissue-wide oscillator called the segmentation clock. Individual cellular oscillators in the presomitic mesoderm are modulated by intercellular coupling and external signals, leading to the propagation…

Molecular Networks · Quantitative Biology 2024-05-27 Paul François , Victoria Mochulska

Clocks are a central part of many computing paradigms, and are mainly used to synchronise the delicate operation of switching, necessary to drive modern computational processes. Unfortunately, this synchronisation process is reaching a…

Emerging Technologies · Computer Science 2024-02-06 Jonathan Edwards , Alex Yakovlev , Simon O'Keefe

The difficulty of simulating quantum systems, well-known to quantum chemists, prompted the idea of quantum computation. One can avoid the steep scaling associated with the exact simulation of increasingly large quantum systems on…

In exploring the simulation of human rhythmic perception and synchronization capabilities, this study introduces a computational model inspired by the physical and biological processes underlying rhythm processing. Utilizing a reservoir…

Neurons and Cognition · Quantitative Biology 2025-03-28 Zhongju Yuan , Wannes Van Ransbeeck , Geraint Wiggins , Dick Botteldooren

Motivated by the fact that living cells use molecular circuits (i.e. a set of chemical reactions) for information processing, this paper investigates the problem of designing molecular circuits for demodulation. In our earlier work, we use…

Information Theory · Computer Science 2019-12-20 Chun Tung Chou

Quantum computing technologies promise to revolutionize calculations in many areas of physics, chemistry, and data science. Their power is expected to be especially pronounced for problems where direct analogs of a quantum system under…

Quantum Physics · Physics 2020-12-29 C. A. Argüelles , B. J. P. Jones

Several singular limits are investigated in the context of a $2 \times 2$ system arising for instance in the modeling of chromatographic processes. In particular, we focus on the case where the relaxation term and a $L^2$ projection…

Numerical Analysis · Mathematics 2010-01-21 Laurent Gosse

Using molecular simulations and theory, we develop an explicit mapping of the contribution of molecular relaxation modes in glassy thermosets to the shear modulus, where the relaxations were tuned by altering the polarity of side groups.…

Materials Science · Physics 2019-10-15 Robert M. Elder , Alessio Zaccone , Timothy W. Sirk

Humans and animals developed a sophisticated motor control apparatus and there is much evidence that it has a modular structure. The modularity offers a range of benefits, e.g. ability to learn dissociable motion styles without interference…

Robotics · Computer Science 2016-05-20 Kirill Makukhin

The collective behavior of biological oscillators has been recognized as an important problem for several decades, but its control has come into limelight only recently. Much of the focus for control has been on desynchronization of an…

Adaptation and Self-Organizing Systems · Physics 2019-07-09 Bharat Monga , Jeff Moehlis

So far, many control algorithms have been developed for singularly perturbed systems. However, in many industrial processes, enforcing closed-loop fast-slow dynamics for peculiarly non-separable ones is a prior request and a crucial issue…

Systems and Control · Electrical Eng. & Systems 2024-10-30 Xinglong Zhang , Wei Jiang , Shuyou Yu , Xin Xu , Zhizhong Li

Phase-separated liquid condensates can spatially organize and thereby regulate chemical processes. However, the physicochemical mechanisms underlying such regulation remain elusive as the intramolecular interactions responsible for phase…

Soft Condensed Matter · Physics 2024-03-11 Sudarshana Laha , Jonathan Bauermann , Frank Jülicher , Thomas C. T. Michaels , Christoph A. Weber

Simulation models often have parameters as input and return outputs to understand the behavior of complex systems. Calibration is the process of estimating the values of the parameters in a simulation model in light of observed data from…

Methodology · Statistics 2024-11-15 Özge Sürer

Origami-inspired robots offer rapid, accessible design and manufacture with diverse functionalities. In particular, origami robots without conventional electronics have the unique advantage of functioning in extreme environments such as…

Robotics · Computer Science 2026-03-26 Sean Liu , Ankur Mehta , Wenzhong Yan

Nearly all circadian clocks maintain a period that is insensitive to temperature changes, a phenomenon known as temperature compensation (TC). Yet, it is unclear whether there is any common feature among different systems that exhibit TC.…

Molecular Networks · Quantitative Biology 2024-01-26 Haochen Fu , Chenyi Fei , Qi Ouyang , Yuhai Tu

Hybrid oscillator architectures that combine feedback oscillators with self-sustained negative resistance oscillators have emerged as a promising platform for artificial neuron design. In this work, we introduce a modeling and analysis…

Chemical Physics · Physics 2025-08-04 Gonzalo Rivera-Sierra , Roberto Fenollosa , Juan Bisquert