Potential Function in a Continuous Dissipative Chaotic System: Decomposition Scheme and Role of Strange Attractor
From MaRDI portal
Publication:5416505
DOI10.1142/S0218127414500151zbMath1287.34033arXiv1208.1654MaRDI QIDQ5416505
Ping Ao, Ruoshi Yuan, Bo Yuan, Qijun Tan, Yi-An Ma
Publication date: 21 May 2014
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.1654
Nonlinear ordinary differential equations and systems (34A34) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Localization of hidden Chua's attractors
- Finding safety in partially controllable chaotic systems
- Nonlinear oscillations and multiscale dynamics in a closed chemical reaction system
- Strange attractors that are not chaotic
- Structural stability of Lorenz attractors
- Irregular attractors
- Variable structure and Lyapunov control
- Mathematical problems for the next century
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- Topological analysis of chaotic dynamical systems
- SYNCHRONIZATION OF CHAOTIC SYSTEMS: A GENERALIZED HAMILTONIAN SYSTEMS APPROACH
- Hyperbolic Chaos
- TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
- APERIODIC NONCHAOTIC ATTRACTORS, STRANGE AND OTHERWISE
- The Lorenz attractor exists
- Potential in stochastic differential equations: novel construction
- Deterministic Nonperiodic Flow
- LIMIT CYCLE AND CONSERVED DYNAMICS
- Exploring complex networks
- A decomposition of irreversible diffusion processes without detailed balance
- ENERGY-LIKE FUNCTIONS FOR SOME DISSIPATIVE CHAOTIC SYSTEMS
