Limitation of Perpetual Points for Confirming Conservation in Dynamical Systems
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Publication:5744113
DOI10.1142/S0218127415501825zbMath1330.34081OpenAlexW2225216977MaRDI QIDQ5744113
Sajad Jafari, Seyed Mohammad Reza Hashemi Golpayegani, Fahimeh Nazarimehr, Julien Clinton Sprott
Publication date: 17 February 2016
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127415501825
Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45)
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Cites Work
- Unnamed Item
- Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua's circuits
- Localization of hidden Chua's attractors
- Simple chaotic flows with a line equilibrium
- Control of multistability
- Perpetual points and hidden attractors in dynamical systems
- A dynamical system with a strange attractor and invariant tori
- Hidden attractor in smooth Chua systems
- Dynamical behaviors of a chaotic system with no equilibria
- Hidden oscillations in dynamical systems. 16 Hilbert's problem, Aizerman's and Kalman's conjectures, hidden attractors in Chua's circuits
- Analytical-Numerical Methods for Hidden Attractors’ Localization: The 16th Hilbert Problem, Aizerman and Kalman Conjectures, and Chua Circuits
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- Constructing a Novel No-Equilibrium Chaotic System
- Chaos in Dynamical Systems
- Existence of Perpetual Points in Nonlinear Dynamical Systems and Its Applications
- SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM
- Cost Function Based on Gaussian Mixture Model for Parameter Estimation of a Chaotic Circuit with a Hidden Attractor
- Is that Really Hidden? The Presence of Complex Fixed-Points in Chaotic Flows with No Equilibria
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