23 papers · ranked by Valyu relevance
Chunlei Fan, Qun Ding, Boris Ryabko
Due to the influence of finite calculation accuracy and binary quantization method, the performance of chaotic binary sequences has been degraded in varying degrees, and some sequences emerge as multi-period phenomena. Aiming at the problem that it is difficult to accurately detect this phenomenon, this paper proposes…
Govind S. Krishnaswami, Anirudh Rameshan
In the three-rotor problem, three equally massive point particles move on a circle interacting via attractive pairwise cosine potentials. Rotors can represent superconducting phases of distinct metallic segments in a chain of coupled Josephson junctions. We propose a digitization of the classical dynamics that records…
Roberto Cortez, Hagop Tossounian
In this article we study a relatively novel way of constructing chaotic sequences of probability measures supported on Kac's sphere, which are obtained as the law of a vector of N i.i.d. variables after it is rescaled to have unit average energy. We show that, as N increases, this sequence is chaotic in the sense of…
Yiming Wang, Xiangxin Leng, Chenkai Zhang, Baoxiang Du + 1 more
This paper introduces a novel three-dimensional chaotic system that exhibits diverse dynamic behaviors as parameters vary, including phase trajectory offset behaviors and expansion-contraction phenomena. This model encompasses a broad chaotic range and proves suitable for integration within image encryption. Building…
Ting Wang, Bin Ge, Chenxing Xia, Gaole Dai + 3 more
'Jian-Zhong Li' 'Yu Zhao'] To address the problem of a poor security image encryption algorithm based on a single chaotic map, this paper proposes a cascade modulation chaotic system (CMCS) that can generate multiple chaotic maps. On this basis, a multi-image encryption algorithm with block-scrambling-diffusion is…
Paul Moritz Nörenberg, Hendrik Richter
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 functions and comparing random and chaotic sequences according to equality or difference…
Kaiwei Wu, Bing Yang, Shijun Hao, Yanbin Liang + 2 more
'Luca Barletta'] The increasingly complex electromagnetic environment of modern warfare and the proliferation of intelligent jamming threaten to reduce the survival rate of radio fuzes on the battlefield. Radio frequency (RF) stealth technology can fundamentally improve the anti-interception and reconnaissance…
Muou Liu, Chongyang Ning, Congxu Zhu, Amelia Carolina Sparavigna
In insecure communication environments where the communication bandwidth is limited, important image data must be compressed and encrypted for transmission. However, existing image compression and encryption algorithms suffer from poor image reconstruction quality and insufficient image encryption security. To address…
Guilhem Madiot, Franck Correia, S. Barbay, Rémy Braive
Chaos enables the emergence of randomness in deterministic physical systems. Therefore it can be exploited for the conception of true random number generators (RNG) mandatory in classical cryptography applications. Meanwhile, nanomechanical oscillators, at the core of many on-board functionalities such as sensing…
Ouafi, Mohamed El, Ahalli, Hajar + 4 more
This article examines the subtle relationship between chaos and randomness, two concepts that, although they refer to seemingly unpredictable phenomenon, are based on fundamentally different principles. Chaos manifests in deterministic systems where small variations in initial conditions lead to unpredictable long-term…
Ya Wang, Xinyu Li, Xiaodong Li, Yerui Guang + 3 more
'Fernando Morgado-Dias'] Considering the security of a communication system, designing a high-dimensional complex chaotic system suitable for chaotic synchronization has become a key problem in chaotic secure communication. In this paper, a new 5-D hyperchaotic system with high order nonlinear terms was constructed and…
Saarth Anjali Chitale, Swetha Ravichandran
How the brain balances flexibility and stability during memory-guided behavior remains unclear. While large-scale brain activity exhibits signatures of chaos, it is unknown whether individual neurons also operate in a chaotic regime, and whether such dynamics are modulated by task engagement. Here, we analyzed over…
Wenbo Zhao, Zhenhai Chang, Caochuan Ma, Zhuozhuo Shen + 3 more
'Yongpan Sheng' 'Hao Wang' 'Yixiang Fang'] In this paper, a surjective mapping that satisfies the Li-Yorke chaos in the unit area is constructed and a perturbation algorithm (disturbing its parameters and inputs through another high-dimensional chaos) is proposed to enhance the randomness of the constructed chaotic…
Yehonatan Sella, Nichole A Broderick, Kaitlin Stouffer, Deborah L McEwan + 3 more
Host-microbe interactions constitute dynamical systems that can be represented by mathematical formulations that determine their dynamic nature. Dynamical interactions can be categorized as deterministic, stochastic, or chaotic. Knowing the type of dynamical interaction is essential for understanding the system under…
Bryn Davies
system Authors: ['Bryn Davies'] Abstract. The statistics of a chaotic recursion relation can be predicted by constructing an associated sequence of periodic elliptic operators. For such operators, the density of states is well understood, can be computed straightforwardly and explicit formulas can often be derived. The…
P. S. Patil, Eurika Kaiser, J Nathan Kutz, Steven L. Brunton
attractors Authors: ['P. S. Patil' 'Eurika Kaiser' 'J Nathan Kutz' 'Steven L. Brunton'] This work explores the intersection of time-delay embeddings, periodic orbit theory, and symbolic dynamics. Time-delay embeddings have been effectively applied to chaotic time series data, offering a principled method to reconstruct…
Yu Terada, Taro Toyoizumi
Cortical neurons exhibit highly variable responses over trials and time. Theoretical works posit that this variability arises potentially from chaotic network dynamics of recurrently connected neurons. Here we demonstrate that chaotic neural dynamics, formed through synaptic learning, allow networks to perform sensory…
Erik Bergstrom, Andrea Scharf
Population dynamics can be chaotic when driven by internal feedback loops, including density-dependent mechanisms, making them predictable only for short periods of time. Since the first discovery of chaos in simple population models, many wild and laboratory populations have been characterized as chaotic. We ask…
Shahriar Iravanian, Ilija Uzelac, Anand D Shah, Mikael J Toye + 9 more
Repolarization alternans, defined as period-2 oscillation in the repolarization phase of the action potentials, is one of the cornerstones of cardiac electrophysiology as it provides a mechanistic link between cellular dynamics and ventricular fibrillation (VF). Theoretically, higher-order periodicities (e.g.…
Anusree Vinod Kunnath, Dweepabiswa Bagchi
The chaotic population dynamics of ecosystems across diverse spatial scales have been extensively investigated over the past three decades. Chaotic fluctuations in species populations, except under specific conditions, have generally been shown to increase extinction risk through cascading effects, environmental noise…
Mohsen Farshad
Providing a simple description of entropy as the foundation of thermodynamics is necessary for researchers in explaining physical phenomena in the universe. Here we dive deep into the meaning of entropy starting from the basics and ending with the Newton's second law of motion which may be rooted in a hidden dimension…
Agastya P. Bhati, Art Hoti, Andrew Potterton, Mateusz K. Bieniek + 1 more
We subject a series of five protein-ligand systems which contain important SARS-CoV-2 targets - 3-chymotrypsin-like protease, papain-like protease and adenosine ribose phosphatase - to long- timescale and adaptive sampling molecular dynamics simulations. By performing ensembles of ten or twelve 10-microsecond…
Authors not listed
Sequence is the critical determinant of macromolecular function, yet current polymer design approaches often optimize monomer composition and ratios while ignoring sequence. This creates poorly defined design spaces for active learning that miss the vast combinatorial landscape of sequence possibilities. We introduce…