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Research on fault diagnosis on highly nonlinear dynamic systems such as the engine of a vehicle have garnered huge interest in recent years, especially with the automotive industry heading towards self-driving technologies. This article…

Systems and Control · Electrical Eng. & Systems 2020-06-11 K. Y. Ng , E. Frisk , M. Krysander , L. Eriksson

We derive a set of spectral statistics whose power spectrum is characterized, in the case of chaotic quantum systems, by colored noise $1/f^{\gamma}$, where the integer parameter $\gamma$ critically depends on the specific energy-level…

Statistical Mechanics · Physics 2009-11-11 Luca Salasnich

Chaotic itinerancy is a universal dynamical concept that describes itinerant motion among many different ordered states through chaotic transition in dynamical systems. Unlike the expectation of the prevalence of chaotic itinerancy in…

Chaotic Dynamics · Physics 2007-12-16 Pan-Jun Kim , Tae-Wook Ko , Hawoong Jeong , Kyoung J. Lee , Seung Kee Han

When designing high-efficiency spark-ignition (SI) engines to operate at high compression ratios, one of the main issues that have to be addressed is detonation development from a pre-ignition front. In order to control this phenomenon, it…

Collisional Brownian engines have attracted significant attention due to their simplicity, experimental accessibility, and amenability to exact analytical solutions. While previous research has predominantly focused on optimizing mean…

Statistical Mechanics · Physics 2025-11-11 Gustavo A. L. Forão , Fernando S. Filho , Pedro V. Paraguassú

The phenomenon of corrugated surfaces is a known technical problem of tribological systems; considerable work has been published in the past on the aspect of rail corrugation of railway systems. Less known is a similar phenomenon observed…

Materials Science · Physics 2018-01-15 Valentin L. Popov , Andreas Fischersworring-Bunk

Our topic is performance differences between using random and chaos for particle swarm optimization (PSO). We take random sequences with different probability distributions and compare them to chaotic sequences with different but also with…

Physics and Society · Physics 2023-11-07 Paul Moritz Nörenberg , Hendrik Richter

We introduce an alternative route for obtaining reliable cyclic engines, based on interacting Brownian particles under time-periodic drivings. General expressions for the thermodynamic fluxes, such as power and heat, are obtained using the…

Statistical Mechanics · Physics 2022-02-16 Iago N. Mamede , Pedro E. Harunari , Bruno A. N. Akasaki , Karel Proesmans , Carlos E. Fiore

We examine the conjecture that entropy production in subsystems of a given system can be used as a dynamical criterion for quantum chaos in the latter. Numerical results are presented for finite dimensional spin systems as also for the…

Quantum Physics · Physics 2007-05-23 Avijit Lahiri

In this numerical study, recurrence quantification analysis of chaotic trajectories is explored to detect atypical dynamical behaviour in non-linear Hamiltonian systems. An ensemble of initial conditions is evolved up to a maximum iteration…

Chaotic Dynamics · Physics 2025-07-11 Matheus S. Palmero , Flavio H. Graciano , Edson D. Leonel , Juliano A. de Oliveira

We study Brownian motors driven by colored non Gaussian noises, both in the overdamped regime and in the case with inertia, and analyze how the departure of the noise distribution from Gaussian behavior can affect its behavior. We analyze…

Statistical Mechanics · Physics 2009-11-10 S. Bouzat , H. S. Wio

We studied neural automata -or neurobiologically inspired cellular automata- which exhibits chaotic itinerancy among the different stored patterns or memories. This is a consequence of activity-dependent synaptic fluctuations, which…

Neurons and Cognition · Quantitative Biology 2007-05-23 J. M. Cortes , J. Marro , J. J. Torres

We explore the thermodynamics of stochastic heat engines in presence of stochastic resetting. The set-up comprises an engine whose working substance is a Brownian particle undergoing overdamped Langevin dynamics in a harmonic potential with…

Statistical Mechanics · Physics 2024-01-24 Sourabh Lahiri , Shamik Gupta

Chaos is a phenomenon that attracted much attention in the past ten years. In this paper, we analyze chaos-based signal processing, and proposed a chaos processor to take advantage of chaos phenomenon. We also analyzed and demonstrated two…

Emerging Technologies · Computer Science 2017-03-21 F Li

A tutorial review is given of some developments and applications of stochastic processes from the point of view of the practicioner physicist. The index is the following: 1.- Introduction 2.- Stochastic Processes 3.- Transient Stochastic…

Condensed Matter · Physics 2007-05-23 Maxi San Miguel , Raul Toral

We study diffusion properties of an inertial Brownian motor moving on a ratchet substrate, i.e. a periodic structure with broken reflection symmetry. The motor is driven by an unbiased time-periodic symmetric force which takes the system…

Statistical Mechanics · Physics 2021-03-25 Jakub Spiechowicz , Marcin Kostur , Jerzy Łuczka

The stationary distribution of a fully chaotic system typically exhibits a fractal structure, which dramatically changes if the dynamical equations are even slightly modified. Perturbative techniques are not expected to work in this…

Chaotic Dynamics · Physics 2017-06-26 Jeffrey M. Heninger , Domenico Lippolis , Predrag Cvitanovic

Chaotic scattering is a manifestation of transient chaos realized by the scattering with non-integrable potential. When the initial position is taken in the potential, a particle initially exhibits chaotic motion, but escapes outside after…

High Energy Physics - Theory · Physics 2022-09-21 Osamu Fukushima , Kentaroh Yoshida

We study noise induced switching in systems far from equilibrium by using an underdamped micromechanical torsional oscillator driven into the nonlinear regime. Within a certain range of driving frequencies, the oscillator possesses two…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 C. Stambaugh , H. B. Chan

We report the numerical observation of scarring, that is enhancement of probability density around unstable periodic orbits of a chaotic system, in the eigenfunctions of the classical Perron-Frobenius operator of noisy Anosov ("cat") maps,…

Chaotic Dynamics · Physics 2021-05-12 Domenico Lippolis , Akira Shudo , Kensuke Yoshida , Hajime Yoshino
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