Topic
Hénon map
About: Hénon map is a research topic. Over the lifetime, 584 publications have been published within this topic receiving 15061 citations. The topic is also known as: Henon map & Henon mapping.
Papers published on a yearly basis
Papers
TL;DR: In this article, the authors show that crisis events are prevalent in many circumstances and systems, and that, just past a crisis, certain characteristic statistical behavior (whose type depends on the type of crisis) occurs.
1,320 citations
TL;DR: Recurrence plots have been advocated as a useful diagnostic tool for the assessment of dynamical time series by quantifying certain features of these plots which may be helpful in determining embeddings and delays.
1,155 citations
TL;DR: In this paper, the Henon map with expansion combined with strong contraction is modeled on the treatment of the one-dimensional system x→1-ax 2 and the perturbation of a from the value a=2 and b small.
Abstract: The purpose of this paper is to develop machinery which is suitable for a study of the long time behavior of systems such as the Henon map with expansion combined with strong contraction. Our study is modeled on the treatment of the one-dimensional system x→1-ax 2 and we study the perturbation of a from the value a=2 and b small. A surprising number of complications arise when b>0. The computer simulations give some indication of the complicated structure of the attractor but it can safely be stated that the real difficulties do not show up. The central aim of the paper is to introduce what we consider the relevant concepts and techniques needed to study mappings such as the Henon one
857 citations
TL;DR: In this article, the Kramers-Moyal type equations for correlation functions between points on the attractor were proposed, where the drift terms are the Lyapunov exponents, the diffusion terms depend on the above fluctuations.
587 citations
TL;DR: The three fingerprints characteristics are proved for this model according to the definition of the generalized memristor, and this discrete model is applied to Henon map, and a new chaotic map is designed called the discrete Memristor-based Henonmap.
Abstract: The realization of real memristor makes it be a very popular topic in recent years. However, the topic about discrete memristor model is rarely discussed. In this paper, a discrete memristor model is proposed based on the difference theory, and the three fingerprints characteristics are proved for this model according to the definition of the generalized memristor. This discrete model is applied to Henon map, and we designed a new chaotic map called the discrete memristor-based Henon map. Its dynamical behaviors are analyzed by attractor phase diagram, bifurcation diagram, Lyapunov exponent spectrum, and spectral entropy complexity algorithm. Simulation results show the performance of Henon map is improved by applying the discrete memristor.
161 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 10 |
| 2024 | 24 |
| 2023 | 20 |
| 2022 | 56 |
| 2021 | 23 |
| 2020 | 21 |