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A 3D autonomous chaotic system: dynamics and synchronization
A 3D autonomous chaotic system is proposed, and its dynamics are also investigated. Then, based on adaptive synchronization control theory and...
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Tailoring chaotic motion of microcavity photons in ray and wave dynamics by tuning the curvature of space
Microcavity photon dynamics in curved space is an emerging interesting area at the crossing point of nanophotonics, chaotic science, and...
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Chaotic dynamics and zero distribution: implications and applications in control theory for Yitang Zhang’s Landau Siegel zero theorem
This study delves into the realm of chaotic dynamics derived from Dirichlet L-functions, drawing inspiration from Yitang Zhang’s groundbreaking work...
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Universal chaotic dynamics from Krylov space
Krylov complexity measures the spread of the wavefunction in the Krylov basis, which is constructed using the Hamiltonian and an initial state. We...
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Chaotic dynamics of fractional difference magnetic levitation model with application to image encryption
Magnetic levitation or Maglev technology has become exciting technology with the aim of develo** advanced transportation at high speed. The article...
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Introduction: Conservative Chaotic Dynamics
This chapter presents the basic concepts of chaos in conservative systems using a common language to make them accessible to readers from the most... -
Chaotic dynamics of recharge–discharge El Niño–Southern Oscillation (ENSO) model
This paper deals with the study of chaotic dynamics in recharge–discharge oscillator model of El Niño Southern Oscillation (ENSO). A solar-forced...
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Dynamics and Hamiltonian energy analysis of a novel memristor coupled Josephson junction phototub chaotic circuit
As a circuit component with memory function, memristors have significant nonlinear physical characteristics and are widely used in the study of...
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Classification of Chaotic Dynamics Through Time–Frequency Representations and Machine Learning
This study employs an approach that centers on the utilization of support vector machine classifiers to categorize chaotic dynamics. Commonly, within... -
Dynamics analysis of memristor chaotic circuit with coexisting hidden attractors
Hidden attractors have garnered significant attention in physics and other dynamical areas recently. This paper introduces a novel cubic nonlinear...
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Non-Linear Resonances and Chaotic Dynamics of a Rotating Gyroscope Under a Fractional Order Derivative Dam**
This paper deals with the action of the fractional order derivative on nonlinear resonances and its analysis on the chaotic dynamics of an excited...
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Complex Dynamics of a Linear Coupling of Two Chaotic Lorenz Systems
In this manuscript, we report on aspects of dynamical behaviors of a continuous-time autonomous six-dimensional system, wich was designed by...
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Chaotic coexistence of librational and rotational dynamics in the averaged planar three-body problem
Through an appropriate change of reference frame and rescalings of the variables and the parameters introduced, the Hamiltonian of the three-body...
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Bifurcation and chaotic behaviors to the Sasa–Satsuma and higher-order Sasa–Satsuma equations in fluid dynamics and nonlinear optics
A key objective of the paper is to study the dynamical system for the two types of Sasa–Satsuma equations, namely; Sasa–Satsuma equation and...
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Chaotic dynamics of string around the conformal black hole
In this paper, we make a systematical and in-depth study on the chaotic dynamics of the string around the conformal black hole. Depending on the...
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Multistability and initial-offset boosting dynamics in a new 3D memristive chaotic system with FPGA implementation
In this paper, a new 3D memristor-based chaotic system based on the Sprot B model is designed. The proposed system analyzes the coexistence of...
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Chaotic dynamics in a non-linear tumor-immune model with Caputo–Fabrizio fractional operator
In this article, we investigate a tumor-immune and antigen-presenting cells population in the form of a mathematical model. To achieve greater...
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Non-chaotic Continuous Dynamics
Continuous systems with only one or two variables cannot be chaotic. However, such systems are used frequently in pretty much all scientific fields... -
Chaotic Dynamics in Planetary Systems
The main theme of the book is the presentation of techniques used to identify chaotic behavior in the evolution of conservative mechanical systems...
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Measurement of three-body chaotic absorptivity predicts chaotic outcome distribution
The flux-based statistical theory of the non-hierarchical three-body system predicts that the chaotic outcome distribution reduces to the chaotic...