A Note on Hidden Transient Chaos in the Lorenz System
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Quan Yuan
Abstract
In this paper, the classic Lorenz system is revisited. Some dynamical behaviors are shown with the Rayleigh number
Acknowledgments
The authors thank the reviewers very much for their careful reviews and valuable suggestions.
Our finding is inspired by the correspondence email between Chua and Leonov. In this letter, they proposed two crucial questions “Do you know if the Lorenz Equation can exhibit new attractors other than the classic Lorenz attractor? Do you think the Lorenz equation also has hidden attractors?”
This work is partially supported by National Natural Science Foundation of China (11302080, 11515760), the Anhui Provincial Natural Science Foundation (1708085QA12), the Natural Science Foundations for Colleges and Universities in Anhui Province (KJ2016A602, KJ2015A253).
References
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Articles in the same Issue
- Frontmatter
- The Hermitian Positive Definite Solution of the Nonlinear Matrix Equation
- Energy Stable Interior Penalty Discontinuous Galerkin Finite Element Method for Cahn–Hilliard Equation
- On the Mittag–Leffler Stability of Impulsive Fractional Solow-Type Models
- Non-similarity Solutions for Viscous Dissipation and Soret Effects in Micropolar Fluid over a Truncated Cone with Convective Boundary Condition: Spectral Quasilinearization Approach
- Numerical Simulation of the Supersonic Disk-Gap-Band Parachute by Using Implicit Coupling Method
- Stochastic-Based RANS-LES Simulations of Swirling Turbulent Jet Flows
- Dynamic Analysis of a Lü Model in Six Dimensions and Its Projections
- Hermite Pseudospectral Method for the Time Fractional Diffusion Equation with Variable Coefficients
- Multiple-Wave Solutions to Generalized Bilinear Equations in Terms of Hyperbolic and Trigonometric Solutions
- Experimental and Simulation Analysis of the Successful Production of Heavy-Gauge Steel Plate by the Clad Rolling Process
- Jacobi Collocation Approximation for Solving Multi-dimensional Volterra Integral Equations
- A Note on Hidden Transient Chaos in the Lorenz System
- Finite Time Blow-up in a Delayed Diffusive Population Model with Competitive Interference
Articles in the same Issue
- Frontmatter
- The Hermitian Positive Definite Solution of the Nonlinear Matrix Equation
- Energy Stable Interior Penalty Discontinuous Galerkin Finite Element Method for Cahn–Hilliard Equation
- On the Mittag–Leffler Stability of Impulsive Fractional Solow-Type Models
- Non-similarity Solutions for Viscous Dissipation and Soret Effects in Micropolar Fluid over a Truncated Cone with Convective Boundary Condition: Spectral Quasilinearization Approach
- Numerical Simulation of the Supersonic Disk-Gap-Band Parachute by Using Implicit Coupling Method
- Stochastic-Based RANS-LES Simulations of Swirling Turbulent Jet Flows
- Dynamic Analysis of a Lü Model in Six Dimensions and Its Projections
- Hermite Pseudospectral Method for the Time Fractional Diffusion Equation with Variable Coefficients
- Multiple-Wave Solutions to Generalized Bilinear Equations in Terms of Hyperbolic and Trigonometric Solutions
- Experimental and Simulation Analysis of the Successful Production of Heavy-Gauge Steel Plate by the Clad Rolling Process
- Jacobi Collocation Approximation for Solving Multi-dimensional Volterra Integral Equations
- A Note on Hidden Transient Chaos in the Lorenz System
- Finite Time Blow-up in a Delayed Diffusive Population Model with Competitive Interference
