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We develop a theory for the emergence of global firings in non-identical excitable systems subject to noise. Three different dynamical regimes arise: sub-threshold motion, where all elements remain confined near the fixed point; coherent…

Statistical Mechanics · Physics 2009-05-27 C. J. Tessone , A. Scire , R. Toral , P. Colet

The unpredictability in chaotic scattering problems is a fundamental topic in physics that has been studied either in purely conservative systems or in the presence of weak perturbations. In many systems noise plays an important role in the…

Chaotic Dynamics · Physics 2021-07-14 Alexandre R. Nieto , Jesús M. Seoane , Miguel A. F. Sanjuán

This paper presents an approch for modeling with one single kinetic mechanism the chemistry of the autoignition and combustion processes inside an internal combustion engine, as well as the chemical kinetics governing the post-oxidation of…

Chemical Physics · Physics 2009-03-24 Jörg Anderlohr , Roda Bounaceur , A. Pires Da Cruz , Frédérique Battin-Leclerc

We review some recent results surrounding a general mechanism for producing chaotic behavior in periodically-kicked oscillators. The key geometric ideas are illustrated via a simple linear shear model.

Dynamical Systems · Mathematics 2010-04-22 Kevin K. Lin , Lai-Sang Young

We consider a general N-degree-of-freedom nonlinear Hamiltonian system which is chaotic and dissipative and show that the origin of chaotic diffusion lies in the correlation of fluctuation of linear stability matrix for the equation of…

chao-dyn · Physics 2009-10-31 Bidhan Chandra Bag , Jyotipratim Ray Chaudhuri , Deb Shankar Ray

Chaotic logic gates or `chaogates' are a promising mixed-signal approach to designing universal computers. However, chaotic systems are exponentially sensitive to small perturbations, and the effects of noise can cause chaotic computers to…

Chaotic Dynamics · Physics 2022-02-16 Noeloikeau Charlot , Daniel J. Gauthier

The combustion instability is investigated computationally for a multi-injector rocket engine using the flamelet progress variable (FPV) model. A C++ code is developed based on OpenFOAM 4.0 to apply the combustion model. Flamelet tables are…

Fluid Dynamics · Physics 2021-09-03 Lei Zhan , Tuan M. Nguyen , Juntao Xiong , Feng Liu , William A. Sirignano

The two-way interaction between the unsteady flame heat release rate and acoustic waves can lead to combustion instability within combustors. To understand and quantify the flame response to oncoming acoustic waves, previous studies have…

Fluid Dynamics · Physics 2024-01-17 Xiaozhen Jiang , Jingxuan Li , Aimee S. Morgans , Lijun Yang , Lei Li , Tengyu Liu

Engines are open systems that can generate work cyclically, at the expense of an external disequilibrium. They are ubiquitous in nature and technology, but the course of mathematical physics over the last 300 years has tended to make their…

Statistical Mechanics · Physics 2021-09-01 Robert Alicki , David Gelbwaser-Klimovsky , Alejandro Jenkins

The striking fractal geometry of strange attractors underscores the generative nature of chaos: like probability distributions, chaotic systems can be repeatedly measured to produce arbitrarily-detailed information about the underlying…

Machine Learning · Computer Science 2023-01-31 William Gilpin

Quantum heat engines are commonly believed to achieve their optimal efficiency only when operated quasi-statically. When running at finite power, however, they suffer effective friction due to the generation of coherences and transitions…

Quantum Physics · Physics 2025-06-16 Raphael Weber , Susana F. Huelga , Martin B. Plenio

We show how a chaotic system can be locked to emit a periodic waveform belonging to its chaotic attractor. We numerically demonstrate our idea in a system composed of a semiconductor laser driven to chaos by optical feedback from a short…

Chaotic Dynamics · Physics 2008-12-11 Antonio Mecozzi , Cristian Antonelli

In many real world chaotic systems, the interest is typically in determining when the system will behave in an extreme manner. Flooding and drought, extreme heatwaves, large earthquakes, and large drops in the stock market are examples of…

Applications · Statistics 2019-08-19 Michael LuValle

Empirical results show that PSO performance may be different if using either chaotic or random sequences to drive the algorithm's search dynamics. We analyze the phenomenon by evaluating the performance based on a benchmark of test…

Neural and Evolutionary Computing · Computer Science 2023-09-18 {Paul Moritz Nörenberg , Hendrik Richter

We study the noise-induced escape process in a prototype dissipative nonequilibrium system, the Ikeda map. In the presence of a chaotic saddle embedded in the basin of attraction of the metastable state, we find the novel phenomenon of a…

Chaotic Dynamics · Physics 2009-11-10 Suso Kraut , Ulrike Feudel

A gas of interacting particles is a paradigmatic example of chaotic systems. It is shown here that even if all but one particle are fixed in generic positions, the excited states of the moving particle are chaotic. They are characterized by…

Quantum Physics · Physics 2023-01-18 Vladimir A. Yurovsky

In this article, the dynamics and complexity of a noise induced blood flow system have been investigated. Changes in the dynamics have been recognized by measuring the periodicity over significant parameters. Chaotic as well as non-chaotic…

Adaptation and Self-Organizing Systems · Physics 2020-01-08 Bo Yan , Sayan Mukherjee , Shaobo He

We investigate the emergence of synchronization in heterogeneous networks of chaotic maps. Our findings reveal that a small cluster of highly connected maps is responsible for triggering the spark of synchronization. After the spark, the…

Adaptation and Self-Organizing Systems · Physics 2024-02-01 Antonio Montalban , Rodrigo M. Corder

A solvable model of noise effects on globally coupled limit cycle oscillators is proposed. The oscillators are under the influence of independent and additive white Gaussian noise. The averaged motion equation of the system with infinitely…

Chaotic Dynamics · Physics 2019-09-20 Keiji Okumura , Akihisa Ichiki

As a phenomenon in dynamical systems allowing autonomous switching between stable behaviors, chaotic itinerancy has gained interest in neurorobotics research. In this study, we draw a connection between this phenomenon and the predictive…

Neural and Evolutionary Computing · Computer Science 2021-06-17 Louis Annabi , Alexandre Pitti , Mathias Quoy