Chaos and hyperchaos via secondary Neimark-Sacker bifurcation in a model of radiophysical generator
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Publication:2297010
DOI10.1007/s11071-019-05132-0zbMath1430.37042OpenAlexW2962758865MaRDI QIDQ2297010
Elena Popova, Nataliya V. Stankevich, Evgeniy Seleznev, Alexander P. Kuznetsov
Publication date: 18 February 2020
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-019-05132-0
Lyapunov exponentshyperchaosquasiperiodic oscillationsmultistabilitysecondary Neimark-Sacker bifurcation
Bifurcations of singular points in dynamical systems (37G10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
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Cites Work
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- From multi-layered resonance tori to period-doubled ergodic tori
- The Lyapunov dimension and its estimation via the Leonov method
- An equation for hyperchaos
- Chaos-hyperchaos transition.
- Hyperchaos-chaos-hyperchaos transition in modified Rössler systems
- A novel hyperchaos system only with one equilibrium
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- Chaos and hyperchaos in coupled antiphase driven Toda oscillators
- Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system
- Hyperchaotic set in continuous chaos-hyperchaos transition
- On hyperchaos in a small memristive neural network
- Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems
- From chaos to quasi-periodicity
- Simple Scenarios of Onset of Chaos in Three-Dimensional Maps
- Quasi-Periodic Bifurcations of Higher-Dimensional Tori
- Lyapunov Exponents
- Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms
- Characteristics of Chaotic Regimes in a Space-distributed Gyroklystron Model with Delayed Feedback
- THREE-DIMENSIONAL HÉNON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS
- On the transition to hyperchaos and the structure of hyperchaotic attractors
