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Infinite number of Wada basins in a megastable nonlinear oscillator
Previous results show that some oscillators possess finite number of Wada basins. Here we find that a nonlinear oscillator can possess a countable...
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Sharp changes in fractal basin of attraction in passive dynamic walking
A passive dynamic walker is a mechanical system that walks down a slope without any control, and gives useful insights into the dynamic mechanism of...
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Expected escape times from attractor basins due to low intensity noise
In this paper, a numerical approach is described to estimate escape times from attractor basins when a dynamical system is subjected to noise or...
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On an Attraction Basin of the Generalized Kapitsa’s Problem
The problem of the generalized Kapitsa pendulum on the stability of the vertical position of the rod under the vertical vibration of the support was...
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Numerical Analysis of Nonlinear Dynamics of an Offshore Platform for Energy Harvesting
In this work, we numerically investigate the nonlinear model that describes the displacement of an offshore platform under ocean wave action....
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Analyzing and Characterizing the Global Complexity of Bistable Structures Under Simple Harmonic Excitation
PurposeThe paper aims to develop a method to analyze and characterize the complexity of periodic excited bistable structures.
Methods ...
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Dynamics analysis of a nonlinear energy sink for passive suppression of a parametrically excited system
Nonlinear energy sinks (NESs) have been extensively studied to develop passive suppression strategies, with the primary objective of minimizing...
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The study of Newton–Raphson basins of convergence in the three-dipole problem
We consider a system in which the charged particle orbits under the influence of the electromagnetic field of three dipoles located on a system of...
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Basins and bifurcations of a delayed feedback control system and its experimental verification for a DC bus circuit
The present study deals with the basins of the equilibrium points embedded within the normal forms of Bogdanov–Takens bifurcation with delayed...
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Global analysis of stochastic and parametric uncertainty in nonlinear dynamical systems: adaptative phase-space discretization strategy, with application to Helmholtz oscillator
An adaptative phase-space discretization strategy for the global analysis of stochastic nonlinear dynamical systems with competing attractors...
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Structure of parameter space of a three-species food chain model with immigration and emigration
Migration is a natural behavior and an integral part of many species’ life cycles. Although most commonly found in many species of mammals and birds,...
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An Accelerated Iterative Method to Find the Sign of a Nonsingular Matrix with Quartical Convergence
The function of matrix sign is one of the most significant functions of matrices with several applications. The target of this work is to propose a...
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Dynamics of Classical Fuzzy Cognitive Maps
In Fuzzy Cognitive Map based modelling, the final conclusion is based on the assumption that the system reaches an equilibrium point (fixed point)...
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Nonlinear dynamics and performance evaluation of an asymmetric bistable energy harvester with unilateral piecewise nonlinearity
Due to the snap-through characteristics and broadband response, bistable energy harvesters (BEHs) have attracted significant attention. Previous...
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Nonlinear dynamics, bifurcations, and multi-stability in a vibro-impact system with geometric and multi-segmented freeplay nonlinearities
Freeplay is a common type of piecewise-smooth nonlinearity in dynamical systems, and it can cause discontinuity-induced bifurcations and other...
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Global Analysis and Experimental Dynamics of the 2:1 Internal Resonance in the Higher-Order Modes of a MEMS Microbeam
In this work, we consider a MEMS microbeam, and we investigate the experimental response of the device at the third-mode dynamics. By forward and...
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Six-dimensional basins of attraction computation on small clusters with semi-parallelized SCM method
In modern engineering applications it is needed to determine the robustness of stable steady states, which depends on the shape and size of the...
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Repellers for the Laguerre Iteration Function
For polynomials some of whose zeros are complex, little is known about the overall convergence properties of Laguerre’s function. This chapter...
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Bifurcation analysis of period-1 attractors in a soft impacting oscillator
A soft impacting oscillator with symmetric constraints is considered with a focus on grazing-induced bifurcations and chaotic crises. PF-type grazing...
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Multiple solutions and transient chaos in a nonlinear flexible coupling model
This paper investigates the nonlinear dynamics of a flexible tyre coupling via computer modelling and simulation. The research mainly focused on...
