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The introduction of unexpected system disturbances and new system dynamics does not allow guaranteed continuous system stability. In this research we present a novel approach for detecting early failure indicators of non-linear highly…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Amr Mahmoud , Youmna Ismaeil , Mohamed Zohdy

A Discrete-Time Linear Complementarity System (DLCS) is a dynamical system in discrete time whose state evolution is governed by linear dynamics in states and algebraic variables that solve a Linear Complementarity Problem (LCP). The DLCS…

Optimization and Control · Mathematics 2023-12-29 Arvind U. Raghunathan , Jeffrey T. Linderoth

We propose a strategy to suppress decoherence of a solid-state qubit coupled to non-Markovian noises by attaching the qubit to a chaotic setup with the broad power distribution in particular in the high-frequency domain. Different from the…

Quantum Physics · Physics 2012-04-09 Jing Zhang , Yu-xi Liu , Wei-Min Zhang , Lian-Ao Wu , Re-Bing Wu , Tzyh-Jong Tarn

While there has been a keen interest in studying computation at the edge of chaos for dynamical systems undergoing a phase transition, this has come under question for cellular automata. We show that for continuously deformed cellular…

Cellular Automata and Lattice Gases · Physics 2019-04-15 E. Estevez-Rams , D. Estevez-Moya , K. Garcia-Medina , R. Lora-Serrano

Chaotic systems which are due to nonlinearity have attracted a great concern in the current world and chaotic models. Systems for a wide range of operation conditions have their application in almost all branches of engineering and science.…

Physics and Society · Physics 2022-09-09 Amin Gasmi

In this work, we present a novel inner product design for stochastic computing. Stochastic computing is an emerging computing technique, that encodes a number in the probability of observing a one in a random bit stream. This leads to…

Emerging Technologies · Computer Science 2018-11-21 Werner Haselmayr , Daniel Wiesinger , Michael Lunglmayr

In this paper, we characterize the synchronization phenomenon of hyperchaotic scalar non-linear delay dynamics in a fully-developed chaos regime. Our results rely on the observation that, in that regime, the stationary statistical…

Chaotic Dynamics · Physics 2008-10-08 Adrian A. Budini

This paper proposes a novel approach to Hamiltonian simulation using Decision Diagrams (DDs), which are an exact representation based on exploiting redundancies in representations of quantum states and operations. While the simulation of…

Quantum Physics · Physics 2024-03-04 Aaron Sander , Lukas Burgholzer , Robert Wille

Spatiotemporal chaos of a two-dimensional one-way coupled map lattice is used for chaotic cryptography. The chaotic outputs of many space units are used for encryption simultaneously. This system shows satisfactory cryptographic properties…

Chaotic Dynamics · Physics 2018-01-17 Shihong Wang , Weiping Ye , Huaping Lu , Jinyu Kuang , Jinghua Li , Yunlun Luo , Gang Hu

Chaos sets a fundamental limit to quantum-information processing schemes. We study the onset of chaos in spatially extended quantum many-body systems that are relevant to quantum optical devices. We consider an extended version of the…

Quantum Physics · Physics 2023-12-19 Mahaveer Prasad , Hari Kumar Yadalam , Manas Kulkarni , Camille Aron

Many-body quantum chaos has immense potential as a tool to accelerate the preparation of entangled states and overcome challenges due to decoherence and technical noise. Here, we study how chaos in the paradigmatic Dicke model, which…

Quantum Gases · Physics 2024-10-08 Yicheng Zhang , Juan Zuniga Castro , Robert J. Lewis-Swan

We propose a theory of deterministic chaos for discrete systems, based on their representations in binary state spaces $ \Omega $, homeomorphic to the space of symbolic dynamics. This formalism is applied to neural networks and cellular…

chao-dyn · Physics 2008-02-03 H. Waelbroeck , F. Zertuche

This paper investigates stochastic invariance for control systems through probabilistic controlled invariant sets (PCISs). As a natural complement to robust controlled invariant sets~(RCISs), we propose finite- and infinite-horizon PCISs,…

Systems and Control · Computer Science 2021-07-06 Yulong Gao , Karl H. Johansson , Lihua Xie

The Global Wearable market is anticipated to rise at a considerable rate in the next coming years and communication is a fundamental block in any wearable device. In communication, encryption methods are being used with the aid of…

Cryptography and Security · Computer Science 2023-05-29 Rahul Vishwakarma , Ravi Monani , Amin Rezaei , Hossein Sayadi , Mehrdad Aliasgari , Ava Hedayatipour

Chaos is ubiquitous in high-dimensional neural dynamics. A strong chaotic fluctuation may be harmful to information processing. A traditional way to mitigate this issue is to introduce Hebbian plasticity, which can stabilize the dynamics.…

Neurons and Cognition · Quantitative Biology 2025-11-03 Weizhong Huang , Haiping Huang

The effective numerical method is developed performing the test of the hyperbolicity of chaotic dynamics. The method employs ideas of algorithms for covariant Lyapunov vectors but avoids their explicit computation. The outcome is a…

Chaotic Dynamics · Physics 2012-03-28 Pavel V. Kuptsov

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

In this paper, we propose an image encryption algorithm based on the chaos, substitution boxes, nonlinear transformation in Galois field and Latin square. Initially, the dynamic S boxes are generated using Fisher Yates shuffle method and…

Cryptography and Security · Computer Science 2017-09-25 Musheer Ahmad , Akshay Chopra

The efficient detection of chaotic behavior in orbits of a complex dynamical system is an active domain of research. Several indicators have been proposed in the past, and new ones have recently been developed in view of improving the…

Dynamical Systems · Mathematics 2023-07-05 A. Bazzani , M. Giovannozzi , C. E. Montanari , G. Turchetti

Robustness of a distributed computing system is defined as the ability to maintain its performance in the presence of uncertain parameters. Uncertainty is a key problem in heterogeneous (and even homogeneous) distributed computing systems…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-25 Ali Mokhtari , Chavit Denninnart , Mohsen Amini Salehi