Bistability and hidden attractors in the paradigmatic Rössler’76 system
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Publication:3388182
DOI10.1063/5.0030023zbMath1465.34020OpenAlexW3115292263WikidataQ104678271 ScholiaQ104678271MaRDI QIDQ3388182
Niels Malasoma, J.-M. Malasoma
Publication date: 11 January 2021
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0030023
Nonlinear ordinary differential equations and systems (34A34) Stability of solutions to ordinary differential equations (34D20) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)
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Cites Work
- Unnamed Item
- Localization of hidden Chua's attractors
- Hidden attractors in dynamical systems
- Dynamical analysis of a new autonomous 3-D chaotic system only with stable equilibria
- Dynamical analysis of the generalized Sprott C system with only two stable equilibria
- On the numerical computation of Poincaré maps
- The Lyapunov dimension of strange attractors
- Determining Lyapunov exponents from a time series
- A hidden chaotic attractor in the classical Lorenz system
- Comment on ``A hidden chaotic attractor in the classical Lorenz system
- Hidden attractor in smooth Chua systems
- Dynamical behaviors of a chaotic system with no equilibria
- Elementary quadratic chaotic flows with no equilibria
- Qualitative analysis of the Rössler equations: bifurcations of limit cycles and chaotic attractors
- An equation for continuous chaos
- On finite limit sets for transformations on the unit interval
- Simple Chaotic Flow with Circle and Square Equilibrium
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- Simple Chaotic Flows with a Curve of Equilibria
- A Simple Chaotic Flow with a Plane of Equilibria
- Strange attractors and chaotic motions of dynamical systems
- Numerical Normalization Techniques for All Codim 2 Bifurcations of Equilibria in ODE's
- Deterministic Nonperiodic Flow
- Crises, sudden changes in chaotic attractors, and transient chaos
- Simple mathematical models with very complicated dynamics
- SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM
- Elements of applied bifurcation theory