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Rotorcraft stability analysis using Lyapunov characteristic exponents estimated from multibody dynamics
Stability analysis of complex, nonlinear dynamical systems is a challenge. The use of Lyapunov Characteristic Exponents through a Jacobian-less...
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Linear Version of the Anti-Perron Effect of Change of Positive Characteristic Exponents to Negative Ones
AbstractA linear version of the anti-Perron effect of changing all positive Lyapunov characteristic exponents to negative ones is realized. For...
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Oriented Rotatability Exponents of Solutions to Homogeneous Autonomous Linear Differential Systems
We fully study the oriented rotatability exponents of solutions to homogeneous autonomous linear differential systems and establish that the strong...
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A new way to compute the Lyapunov characteristic exponents for non-smooth and discontinues dynamical systems
One of the most important problems of nonlinear dynamics is related to the development of methods concerning the identification of the dynamical...
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Growth exponents reflect evolutionary processes and treatment response in brain metastases
Tumor growth is the result of the interplay of complex biological processes in huge numbers of individual cells living in changing environments....
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Comparing the Spectra of Oscillation Exponents of a Nonlinear System and the First Approximation System
AbstractWe study the oscillation exponents of differential systems. It is established that there is no dependence between the spectra of oscillation...
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Badly Approximable Matrices and Diophantine Exponents
AbstractThis paper is a survey of results concerning different kinds of Diophantine exponents. Special attention is paid to the transference...
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Analysis for global characteristics of Lyapunov exponents in vehicle plane motion system
In the field of vehicle system dynamics, it is significant to propose an appropriate quantitative indicator for system stability or dynamics...
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Bilinear fractional Hardy-type operators with rough kernels on central Morrey spaces with variable exponents
We introduce a type of n -dimensional bilinear fractional Hardy-type operators with rough kernels and prove the boundedness of these operators and...
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Creep with Low Stress Exponents
Primary creep models predict that at low stresses a stress exponent of 1 can be obtained for dislocation creep. Also experimentally this has been...
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On Essential Values of Oscillation Exponents for Solutions of a Linear Homogeneous Two-Dimensional Differential System
In this paper, we study various types of oscillation exponents for solutions of linear homogeneous differential systems with continuous bounded...
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Critical Exponents of Phase Transition in Saha-Basu Equation of State
100 years ago, two scientists M.N. Saha and S.N. Basu tried to give an equation of state for real gas system by taking into consideration the...
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Efficient numerical calculation of Lyapunov-exponents and stability assessment for quasi-periodic motions in nonlinear systems
Investigating the stability of stationary motions is a highly relevant aspect when characterizing dynamical systems. For equilibria and periodic...
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Associating daily meteorological variables of a local climate using DCCA, sample entropy, Lévy-index and Hurst–Kolmogorov exponents: a case study
The nonlinear scaling of meteorological processes is an issue of much interest. The objectives of the present work were (a) to investigate...
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Power spectrum and critical exponents in the 2D stochastic Wilson–Cowan model
The power spectrum of brain activity is composed by peaks at characteristic frequencies superimposed to a background that decays as a power law of...
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An Improved Unique Fatigue Crack Growth Rate Curve Model and Determination of the Model Shape Exponents
It is essential to precisely predict the crack growth, especially the near-threshold regime crack growth under different stress ratios, for most...
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