Hyperchaotic

Author: oyoe

August undefined, 2024

Web30 dec. 2024 · In this study, a novel 7D hyperchaotic model is constructed from the 6D Lorenz model via the nonlinear feedback control technique. The proposed model has an only unstable origin point. Thus, it is categorized as a model with self-excited attractors. And it has seven equations which include 19 terms, four of which are quadratic nonlinearities. … Web6 mei 2024 · In this paper, we show a zero-Hopf bifurcation in a four-dimensional smooth quadratic autonomous hyperchaotic system. Using averaging theory, we prove the existence of periodic orbits bifurcating from the zero-Hopf equilibrium located at the origin of the hyperchaotic system, and the stability conditions of periodic solutions are given.

5d hyperchaotic system implementation - MATLAB Answers

WebIn this paper, we propose an image encryption algorithm based on random walk and two hyperchaotic systems. The random walk method is adopted to scramble the position of pixels within a block. Furth... Web15 apr. 2024 · ABSTRACT. By introducing trigonometric functions, a 2D hyperchaotic map with conditional symmetric attractors is constructed, where a symmetric pair of … principality\\u0027s 5k

MATHEMATICA TUTORIAL, Part 2.3: Rossler attractor - Brown University

WebWith the explosion of the generation, transmission and sharing of image data over the Internet and other unsecured networks, the need and significance for the development of novel image encryption algorithms is unprecedented. In this research work, we propose a novel framework for image encryption that is based on two hyperchaotic maps, utilized … Web6 mei 2024 · J.L. was partially supported by the Ministerio de Ciencia, Innovación y Universidades, Agencia Estatal de Investigación (Grant No. PID2024-104658GB-I00), the Agència de Gestió d’Ajuts Universitaris i de Recerca (Grant No. 2024SGR1617), and the H2024 European Research Council (Grant No. MSCA-RISE-2024-777911). Web25 jan. 2024 · The ultimate bound estimation of this hyperchaotic system is derived using the Lyapunov stability theory and the optimization idea, and relevant numerical … principality\\u0027s 5w

Scenarios of hyperchaos occurrence in 4D Rössler system

A new DNA coding and hyperchaotic system based asymmetric …

Web30 dec. 2024 · In this study, a novel 7D hyperchaotic model is constructed from the 6D Lorenz model via the nonlinear feedback control technique. The proposed model has an … Web2 aug. 2024 · Particularly, the hidden hyperchaotic firings are perfectly detected by two-dimensional Lyapunov stability graphs in the two-parameter space. Meanwhile, the hidden coexisting firing patterns of the system are excited from two scattered attraction domains, which can be confirmed from the local attraction basins. principality\\u0027s 5qWeb12 apr. 2024 · Abstract. This work introduce a new high dimensional 10-D hyperchaotic system with high complexity and many of coexisting attractors. With the adjustment of its … plums coloring pages

"Web10 apr. 2024 · In this paper, a novel encryption scheme that combines hyperchaotic maps schemes, SHA-2, and a pixel-shifting based on the Zaslavskii map is proposed. The plain image is first scrambled based on ... " - Hyperchaotic

Hyperchaotic

Web4 jan. 2024 · This paper proposes a fractional-order cellular neural network (CNN) chaotic system for image encryption algorithm to explore the application of fractional-order CNN hyperchaotic system in chaotic secure communication. Firstly, a fractional-order CNN hyperchaotic system is defined based on CNN hyperchaotic system. Web14 apr. 2024 · The word “hyperchaotic” means that the system of equations must be at least four-dimensional (four variables). In addition, there must be two or more positive …

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Web13 okt. 2024 · This paper presents a new four-dimensional (4D) hyperchaotic system by introducing a linear controller to 3D chaotic Qi system. Based on theoretical analysis and numerical simulations, the dynamical behaviors of the new system are studied including dissipativity and invariance, equilibria and their stability, quasi-periodic orbits, chaotic and … Web15 mei 2006 · Hyperchaotic system is usually defined as a chaotic system with more than one positive Lyapunov exponent. As we know now, there are many hyperchaotic …

Web1 aug. 2024 · It is often difficult to obtain the bounds of the hyperchaotic systems due to very complex algebraic structure of the hyperchaotic systems. After an exhaustive research on a new 4D Lorenz-type hyperchaotic system and a coupled dynamo chaotic system, we obtain the bounds of the new 4D Lorenz-type hyperchaotic system and the globally … Web4 jan. 2024 · A hyperchaotic map with various patterns of coexisting attractors is found by introducing trigonometric functions. The periodicity of trigonometric …

Web1 mei 2024 · We carry out an extensive bifurcation analysis of the new hyperchaotic system. Bifurcation analysis is a miscellaneous tool to investigate the qualitative behaviour of nonlinear systems with ... Web15 mrt. 2024 · Combining hyperchaotic map, cross-plane operation and gene theory, a color image encryption scheme is devised. First, the hyperchaotic map used in the encryption scheme is analyzed and studied.

Web6 mei 2024 · In this paper, an asymmetric image encryption algorithm based on DNA coding and hyperchaotic system is designed. Unlike other image encryption schemes, …

WebAbstract. In this article, a new nonlinear four-dimensional hyperchaotic model is presented. The dynamical aspects of the complex system are analyzed covering equilibrium points, linear stability, dissipation, bifurcations, Lyapunov exponent, phase portraits, Poincaré mapping, attractor projection, sensitivity and time series analysis. plum school board electionWeb16 dec. 2024 · A hyperjerk system described by a single fourth-order ordinary differential equation of the form x⃜=f(x⃛,x¨,x˙,x) has been referred to as a snap system. A damping-tunable snap system, capable of an adjustable attractor dimension (DL) ranging from dissipative hyperchaos (DL<4) to conservative chaos (DL=4), is presented for the first … plums bar shootingWeb31 jan. 2024 · Recently, Northwest China has been suffered PM 2.5 pollution. Through a case study of Lanzhou city, capital of Northwest China’s Gansu province, a hyperchaotic cuckoo search-extreme learning ... principality\u0027s 5mWeb8 okt. 2024 · Meanwhile, chaotic systems can be divided into hyperchaotic systems and chaotic systems based on the positive and negative values of the Lyapunov exponent. If … plums during pregnancy third trimesterWebIn this paper, a new four-dimensional hyperchaotic system with an exponential term is presented. The basic dynamical properties and chaotic behavior of the new attractor are analyzed. It can be shown that this system possesses either a line of equilibria or a single one. The existence of hyperchaos is confirmed by its Lyapunov exponents. Moreover, … plum school district calendar 2021Web22 mrt. 2024 · Initial states of the 5D hyper-chaotic system are x1 (0) = 0.325, x2 (0) = 0.476, x3 (0) = 1.256, x4 (0) = 0.628 and x5 (0) =1.5. I am trying to generate a … plum sawfly controlWeb2 aug. 2024 · With the study of initial-depending bifurcation behaviors of the system, it is found that the system exhibits abundant hidden firing patterns, such as periods with different topologies, quasiperiodic firings, chaos … principality\u0027s 5q