Scenarios of hyperchaos occurrence in 4D Rössler system
From MaRDI portal
Publication:3388171
DOI10.1063/5.0027866zbMath1451.34056OpenAlexW3110962321WikidataQ104678123 ScholiaQ104678123MaRDI QIDQ3388171
Alexey O. Kazakov, Nataliya V. Stankevich, Sergey V. Gonchenko
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/10.1063/5.0027866
Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)
Related Items
On discrete homoclinic attractors of three-dimensional diffeomorphisms ⋮ A kind of Lagrangian chaotic property of the Arnold–Beltrami–Childress flow ⋮ Ultra-Chaos: An Insurmountable Objective Obstacle of Reproducibility and Replication ⋮ Bistable chaotic family and its chaotic mechanism ⋮ Ultra-chaos in a meandering jet flow ⋮ Scenarios for the creation of hyperchaotic attractors in 3D maps ⋮ A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos ⋮ Shilnikov attractors in three-dimensional orientation-reversing maps ⋮ Wild pseudohyperbolic attractor in a four-dimensional Lorenz system ⋮ Symmetrical Hopf-induced bursting and hyperchaos control in memristor-based circuit ⋮ Chaos: From theory to applications for the 80th birthday of Otto E. Rössler ⋮ Appearance of chaos and hyperchaos in evolving pendulum network ⋮ Lorenz- and Shilnikov-Shape Attractors in the Model of Two Coupled Parabola Maps ⋮ On discrete Lorenz-like attractors ⋮ Bubbling transition as a mechanism of destruction of synchronous oscillations of identical microbubble contrast agents
Cites Work
- Unnamed Item
- An equation for hyperchaos
- On control and synchronization in chaotic and hyperchaotic systems via linear feedback control
- Hyperchaos-chaos-hyperchaos transition in modified Rössler systems
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- From \(n\)-tori to hyperchaos
- On three types of dynamics and the notion of attractor
- When chaos meets hyperchaos: 4D Rössler model
- Variety of strange pseudohyperbolic attractors in three-dimensional generalized Hénon maps
- Occurrence of regular, chaotic and hyperchaotic behavior in a family of modified Rössler hyperchaotic systems
- Chaos and hyperchaos in coupled antiphase driven Toda oscillators
- Three types of attractors and mixed dynamics of nonholonomic models of rigid body motion
- Chaos and hyperchaos via secondary Neimark-Sacker bifurcation in a model of radiophysical generator
- Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems
- Controlling and tracking hyperchaotic Rössler system via active backstepping design
- Simple Scenarios of Onset of Chaos in Three-Dimensional Maps
- Simulating, Analyzing, and Animating Dynamical Systems
- Controlling hyperchaos of the Rossler system
- THE FOLD-FLIP BIFURCATION
- Codimension-two reflection and non-hyperbolic invariant lines
- Hyperchaos and multistability in the model of two interacting microbubble contrast agents
- Chaos-hyperchaos transition in coupled Rössler systems
