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Non-smooth Dynamics in Ramp-Controlled and Sine-Controlled Buck Converters
The DC-DC Buck converter is a power converter system that transforms high DC voltages to low DC voltages and is widely used in several applications....
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Delay Parameter Selection in Permutation Entropy Using Topological Data Analysis
Permutation entropy is a powerful tool for quantifying the complexity of a signal which includes measuring the regularity of a time series....
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The Morse Equation in the Conley Index Theory for Discrete Multivalued Dynamical Systems
A recent generalization of the Conley index to discrete multivalued dynamical systems without a continuous selector is motivated by applications to...
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Coexistence of singular cycles in a class of three-dimensional piecewise affine systems
Singular cycles (homoclinic orbits and heteroclinic cycles) play an important role in the study of chaotic dynamics of dynamical systems. This paper...
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Dynamics of excitable cells: spike-adding phenomena in action
We study the dynamics of action potentials of some electrically excitable cells: neurons and cardiac muscle cells. Bursting, following a fast–slow...
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Nonlinear Dynamics of the Hierarchic System of Oscillators
A significant part of materials under appropriate conditions manifests their internal structure. In particular, this concerns the geomedia which are...
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How immune dynamics shape multi-season epidemics: a continuous-discrete model in one dimensional antigenic space
We extend a previously published model for the dynamics of a single strain of an influenza-like infection. The model incorporates a waning acquired...
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A New Five-Dimensional Hyperchaotic System with Six Coexisting Attractors
This article presents a hyperchaotic system of five-dimensional autonomous ODEs that has five cross-product nonlinearities. Under certain parametric...
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Analysis, circuit realization and controls of an autonomous Morse jerk oscillator
In this paper, an autonomous Morse jerk oscillator which is designed by converting an autonomous two-dimensional Morse oscillator to a jerk...
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Dynamical analysis and anti-synchronization of a new 6D model with self-excited attractors
A novel 6D dissipative model with an unstable equilibrium point is introduced herein. Some of the dynamic characteristics of the proposed model were...
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The Effect of Dam** on the Energy Transfer in the Spherical Pendulum with Fractional Dam** in a Pivot Point
Nonlinear vibrations of a system with three degrees of freedom with a spherical pendulum are investigated. The system contains an oscillator and a...
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Firing and synchronous of two memristive neurons
As a nonlinear circuit component, memristor can be utilized to simulate neural discharging activities in biological neural networks with synapses and...
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Projective synchronization of different uncertain fractional-order multiple chaotic systems with input nonlinearity via adaptive sliding mode control
This paper introduces the projective synchronization of different fractional-order multiple chaotic systems with uncertainties, disturbances, unknown...
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Analytical bifurcation behaviors of a host–parasitoid model with Holling type III functional response
This topic presents a study on a host–parasitoid model with a Holling type III functional response. In population dynamics, when host density rises,...
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Theory of Stoichiometric Intraguild Predation: Algae, Ciliate, and Daphnia
Consumers respond differently to external nutrient changes than producers, resulting in a mismatch in elemental composition between them and...
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Dynamical Properties of Measurable Transformations
In dynamical systems, both mathematical and physical, there is often a split in behavior between predictable behavior, as is seen in the presence of...
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Multistability and Period-Adding in a Four-Dimensional Dynamical System with No Equilibrium Points
In this work we investigate the dynamics of a four-parameter four-dimensional nonlinear dynamical system with a hyperbolic cosine nonlinearity, and...
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Discrete Dynamical Systems in Economics: Two Seminal Models and Their Developments
This survey paper starts from two famous discrete-time dynamic models in economics, namely the Cobweb model to describe price dynamics and the...