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Hidden modalities of spirals of chaotic attractor via saturated function series and numerical results
This paper investigates the hidden modalities of an odd number of spirals in the multispiral chaotic attractor generated by saturated function...
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Generalization of the Concept of Attractor for Pendulum Systems with Finite Excitations
We consider the nonideal Sommerfeld–Kononenko mechanical system formed by a spherical pendulum and an electric motor of finite power and described by...
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There are No Structural Stable Axiom A 3-Diffeomorphisms with Dynamics “One-dimensional Surfaced Attractor-repeller”
In this paper, we study the structural stability of three-dimensional diffeomorphisms with source-sink dynamics. Here the role of source and sink is...
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An Approach to Generating Extremely Multistable Chaotic Systems
In this paper, we propose new approaches to the construction of extremely multistable systems containing one-, two-, and three-dimensional lattices...
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Zero Hopf Bifurcation and Chaotic Behavior in a Leslie Tritrophic Model
An ODEs system modeling a Leslie type tritrophic interaction between three populations (prey (P), mesopredator (MP) and superpredator (SP)) is...
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Dynamical Analysis of a 3D Fractional-Order Chaotic System for High-Security Communication and its Electronic Circuit Implementation
This article, a 3D fractional-order chaotic system (FOCS) is designed; system holds Equilibria can take on various shapes and forms by introducing a...
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Analysis and Control of Complex Variable Hyper-Chaotic Robinovich System with Fractional Derivative
This paper introduces a new fractional-order (FO) hyper-chaotic (HC) Robinovitch (RV) system with complex variables. Based on the Adomian...
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Scaling Invariance for Chaotic Diffusion in a Dissipative Standard Map**
We describe a scaling invariance for chaotic orbits in a dissipative standard map** by using a phenomenological approach. Two scaling laws are...
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Discrete superior dynamics of a generalized chaotic system
In the past few decades, the discrete dynamics of difference maps have attained the remarkable attention of researchers owing to their incredible...
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Hidden and Singular Attractors in Nonlinear Systems of Differential Equations
The concept of a “hidden” attractor is widely used in the modern literature on autonomous nonlinear chaotic systems of ordinary differential...
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Chaos Synchronization of a New Chaotic System Having Exponential Term Via Adaptive and Sliding Mode Control
In this paper, we have introduced a new three-dimensional system having exponential term. The chaotic nature of the system is analysed by examining...
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Qualitative analysis of a novel 5D chaotic system based on Bouali’s system and its application in private communication via adaptive control
This research work offers a novel five-dimensional chaotic system based on the renowned Bouali system. The dynamics of this system is thoroughly...
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Control and Synchronization of a Modified Chaotic Finance System with Integer and Non-integer Orders
In this paper, a class of modified finance chaotic systems is constructed. The stability analysis for integer and non-integer orders is investigated,...
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Real-Time Encryption/Decryption Algorithm with A Fractional Chaotic System of Various Data: Image, Speech, and Text
Nowadays, a fractional-order chaotic system is commonly used in digital cryptosystem applications due to its precision to initial conditions and...
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α-Limit Sets and Lyapunov Function for Maps with One Topological Attractor
We consider the topological behaviors of continuous maps with one topological attractor on compact metric space X . This kind of map is a...
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Periodic Orbits in the Muthuswamy-Chua Simplest Chaotic Circuit
In 2010, Muthuswamy and Chua presented an autonomous chaotic circuit using only three elements in series: an inductor, a capacitor and a memristor....
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Is Weather Chaotic? Coexisting Chaotic and Non-chaotic Attractors Within Lorenz Models
The pioneering study of Lorenz in 1963 and a follow-up presentation in 1972 changed our view on the predictability of weather by revealing the...
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On weak/Strong Attractor for a 3-D Structural-Acoustic Interaction with Kirchhoff–Boussinesq Elastic Wall Subject to Restricted Boundary Dissipation
Existence of global attractors for a structural-acoustic system, subject to restricted boundary dissipation, is considered. Dynamics of the acoustic...