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The Unpredictability of Strong Earthquakes: New Understanding and Solution of the Problem
AbstractThe inefficiency of short-term forecasting of strong earthquakes is obvious. New methods and hypotheses about the preparation of seismic...
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Trench Eddies in the Northwest Pacific: An Overview
AbstractThis review is devoted to mesoscale anticyclonic eddies of the Japan, Kuril–Kamchatka, and Aleutian deepwater trenches in the northwestern...
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Non-harmonic resonance of viscoelastic structures subjected to time-dependent exponentially decreasing transverse distributed loads
In this paper, the non-harmonic resonance of Bernoulli viscoelastic beams, Kirchhoff viscoelastic plates, Timoshenko viscoelastic beams, and Mindlin...
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Wind-induced instabilities and monitoring of wind turbine
This paper presents real-time monitoring data and analysis results of the non-stationary vibrations of an operational wind turbine. The advanced...
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Emergent impacts of alternative resource in cannibalistic predator–prey system
In this paper, a predator–prey model with cannibalistic effect in predator is presented. Naturally, juveniles predators are captured by their own...
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Determining the spectrum of the nonlinear local Lyapunov exponents in a multidimensional chaotic system
For an n -dimensional chaotic system, we extend the definition of the nonlinear local Lyapunov exponent (NLLE) from one- to n -dimensional spectra, and...
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A new mathematical framework for atmospheric blocking events
We use a simple yet Earth-like hemispheric atmospheric model to propose a new framework for the mathematical properties of blocking events. Using...
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Fuzzy Sliding Mode Active Disturbance Rejection Control of an Autonomous Underwater Vehicle-Manipulator System
In this paper, a fuzzy sliding mode active disturbance rejection control (FSMADRC) scheme is proposed for an autonomous underwater...
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Modeling and analysis of a predator–prey type eco-epidemic system with time delay
In this research work, a delay-induced eco-epidemic model using a reconstructed Leslie–Gower-type growth rate is formulated and analyzed. An extended...
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The Impact of Sea Level Rise Due to Global Warming on the Coastal Population Dynamics: A Modeling Study
Global warming and the associated sea level rise is a major environmental issue at present time. The sea level rise is expected to change the...
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Identification of time-varying system and energy-based optimization of adaptive control in seismically excited structure
The combination of structural health monitoring and vibration control is of great importance to provide components of smart structures. While...
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The application of nonlinear local Lyapunov vectors to the Zebiak–Cane model and their performance in ensemble prediction
Nonlinear local Lyapunov vectors (NLLVs) are the nonlinear extension of the Lyapunov vectors (LVs) based on linear error growth theory. As a...
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Adjoint Method-Based Algorithm for Calculating the Relative Dispersion Ratio in a Hydrodynamic System
Relative dispersion ratio (RDR) can be used to quantify the deviation behavior of a water parcel’s trajectory caused by a disturbance in a...
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A mathematical model to see the effects of increasing environmental temperature on plant–pollinator interactions
This paper deals with two well-known problems of ecology and environmental science, global warming and the threat to plant pollination, and their...
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A comprehensive review of Gaussian atmospheric dispersion models: current usage and future perspectives
AbstractThis article provides an in-depth review of Gaussian atmospheric dispersion models, which are mathematical tools used to predict the...
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Mechanism-learning coupling paradigms for parameter inversion and simulation in earth surface systems
Building the physics-driven mechanism model has always been the core scientific paradigm for parameter estimation in Earth surface systems, and...
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Determination of the Backward Predictability Limit and Its Relationship with the Forward Predictability Limit
In this work, two types of predictability are proposed—forward and backward predictability—and then applied in the nonlinear local Lyapunov exponent...
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Pelican–Tilapia interaction in Salton sea: an eco-epidemiological model with strong Allee effect and additional food
The effect of diseases in ecological system is an important issue from mathematical and experimental points of view. We have analysed the dynamic...
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Introduction
Dynamical systems theory and probability theory are basic tools of science. They are mathematical theories. They are used to describe, understand,... -
Application of Singular Spectrum Analysis for Investigating Chaos in Sea Surface Temperature
The goal of this study is to explore the chaotic behavior of sea surface temperature (SST) in the Indian Ocean and in the equatorial Pacific Ocean....