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Age and market capitalization drive large price variations of cryptocurrencies
Cryptocurrencies are considered the latest innovation in finance with considerable impact across social, technological, and economic dimensions. This...
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Kovalevskaya Exponents, Weak Painlevé Property and Integrability for Quasi-homogeneous Differential Systems
We present some necessary conditions for quasi-homogeneous differential systems to be completely integrable via Kovalevskaya exponents. Then, as an...
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The SQALE of CSIDH: sublinear Vélu quantum-resistant isogeny action with low exponents
Recent independent analyses by Bonnetain–Schrottenloher and Peikert in Eurocrypt 2020 significantly reduced the estimated quantum security of the...
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The application of the cell map** method in the characteristic diagnosis of nonlinear dynamical systems
The cell map** method is one of the most powerful tools in the global analysis of nonlinear dynamical systems. It accurately depicts the boundaries...
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The Jerk Dynamics of Lorenz Model
The Lorenz model is widely considered as the first dynamical system exhibiting a chaotic attractor, the shape of which is the famous butterfly. This... -
Maximum Likelihood Estimation of Power-Law Exponents for Testing Universality in Complex Systems
Power-law-type distributions are extensively found when studying the behavior of many complex systems. However, due to limitations in data... -
Trudinger’s Inequality for Double Phase Functionals with Variable Exponents
Our aim in this paper is to establish Trudinger’s inequality on Musielak-Orlicz-Morrey spaces L Φ, κ ( G ) under conditions on Φ which are essentially...
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Dynamic multiscaling in stochastically forced Burgers turbulence
We carry out a detailed study of dynamic multiscaling in the turbulent nonequilibrium, but statistically steady, state of the stochastically forced...
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A Method of Determining the Characteristics of Intermittent Generalized Synchronization Based on the Calculation of Local Lyapunov Exponents
AbstractA method for separating laminar and turbulent phases in coupled systems occurring near the boundary of generalized chaotic synchronization is...
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Scaling theory of fractal complex networks
We show that fractality in complex networks arises from the geometric self-similarity of their built-in hierarchical community-like structure, which...
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Tunable resistivity exponents in the metallic phase of epitaxial nickelates
We report a detailed analysis of the electrical resistivity exponent of thin films of NdNiO 3 as a function of epitaxial strain. Thin films under low...
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Solutions of a Confluent Modification of the General Heun Equation in Terms of Generalized Hypergeometric Functions
AbstractWe consider a confluent modification of the general Heun equation having three regular singular points and an irregular singularity of rank...
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Construction of an Arbitrary Suslin Set of Positive Characteristic Exponents in the Perron Effect
For an arbitrary bounded Suslin set S ⊂ (0, +∞) and arbitrary parameters m > 1 and λ 1 ≤ λ 2 < 0, we construct a two-dimensional differential system ẏ...
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Widening of Anti-resonances by Increasing the Amplitude of Parametric Excitation
Anti-resonance is a feature of parametrically excited systems, which introduces a stabilizing effect to the system dynamics. To be applicable in real... -
Three-State Majority-vote Model on Scale-Free Networks and the Unitary Relation for Critical Exponents
We investigate the three-state majority-vote model for opinion dynamics on scale-free and regular networks. In this model, an individual selects an...
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Characteristic Properties of Ceramics Luminescence Based on Cubic (ZR0.82–xHFxY0.l7Eu0.0l)O1.91
The ceramics based on cubic (Zr 0.82 – x Hf x Y 0.17 Eu 0.01 )O 0.91 with different contents of hafnium were studied. In the work, the elemental composition of...
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Evaluation of Aggregate Distribution Homogeneity for Asphalt Pavement Based on the Fractal Characteristic of Three-Dimensional Texture
To effectively evaluate the homogeneity of aggregate distribution for asphalt pavement, the self-developed texture imaging device was used to collect...
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Stabilization and complex dynamics initiated by pulsed force in the Rössler system near saddle-node bifurcation
Stabilization by a periodic pulsed force of trajectories running away to infinity in the three-dimensional Rössler system at a threshold of a...
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On the Absolute Convergence of Double Fourier Series of Uniform Almost Periodic Functions in a Uniform Metric
AbstractSufficient conditions for the absolute convergence of double Fourier series of uniform almost periodic functions are investigated in this...