Rare Energy-Conservative Attractors on Global Invariant Hypersurfaces and Their Multistability
DOI10.1142/S021812742130007XzbMath1465.34019OpenAlexW3136341087MaRDI QIDQ5857867
Ze Wang, Jian-Bing Hu, Guan-Rong Chen, Guo-Yuan Qi
Publication date: 8 April 2021
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021812742130007x
basin of attractionmultistabilityhidden dynamicsenergy hypersurfaceenergy-conservative attractorenergy-conservative system
Nonlinear ordinary differential equations and systems (34A34) Complex behavior and chaotic systems of ordinary differential equations (34C28) Invariant manifolds for ordinary differential equations (34C45) Attractors of solutions to ordinary differential equations (34D45) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Circuits in qualitative investigation and simulation of models (94C60)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Elementary quadratic chaotic flows with a single non-hyperbolic equilibrium
- Simple chaotic flows with a line equilibrium
- Hidden attractors in dynamical systems
- On a new hyperchaotic system
- Hidden and self-excited coexisting attractors in a Lorenz-like system with two equilibrium points
- Comparing mechanical analysis with generalized-competitive-mode analysis for the plasma chaotic system
- Functionally-fitted energy-preserving integrators for Poisson systems
- Energy cycle and bound of qi chaotic system
- Hyperchaos in a conservative system with nonhyperbolic fixed points
- Mechanical analysis and bound of plasma chaotic system
- Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system
- A new class of Hamiltonian conservative chaotic systems with multistability and design of pseudo-random number generator
- Modeling of a Hamiltonian conservative chaotic system and its mechanism routes from periodic to quasiperiodic, chaos and strong chaos
- Energy cycle of brushless DC motor chaotic system
- Modelings and mechanism analysis underlying both the 4D Euler equations and Hamiltonian conservative chaotic systems
- Continuous ``chaotic dynamics in two dimensions
- Constructing a Chaotic System with an Infinite Number of Equilibrium Points
- Force Analysis of Qi Chaotic System
- Hamiltonian description of the ideal fluid
- Force Analysis and Energy Operation of Chaotic System of Permanent-Magnet Synchronous Motor
- MEMRISTOR HAMILTONIAN CIRCUITS
- Conservative Chaos in a Class of Nonconservative Systems: Theoretical Analysis and Numerical Demonstrations
- Coexisting Hidden Attractors in a 4-D Simplified Lorenz System
- YET ANOTHER CHAOTIC ATTRACTOR
- Generating one to four-wing hidden attractors in a novel 4D no-equilibrium chaotic system with extreme multistability
- Analysis of chaotic and hyperchaotic conservative complex nonlinear systems
- Deterministic Nonperiodic Flow
- A Three-Dimensional No-Equilibrium Chaotic System: Analysis, Synchronization and Its Fractional Order Form
- Graphical Structure of Attraction Basins of Hidden Chaotic Attractors: The Rabinovich–Fabrikant System
- Multistability and Hidden Attractors in the Dynamics of Permanent Magnet Synchronous Motor
- A NEW CHAOTIC ATTRACTOR COINED
- Co-existing hidden attractors in a radio-physical oscillator system
- Different Families of Hidden Attractors in a New Chaotic System with Variable Equilibrium
- SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM
This page was built for publication: Rare Energy-Conservative Attractors on Global Invariant Hypersurfaces and Their Multistability
